This paper presents measurements of top-antitop quark pair ($t\bar{t}$) production in association with additional $b$-jets. The analysis utilises 140 fb$^{-1}$ of proton-proton collision data collected with the ATLAS detector at the Large Hadron Collider at a centre-of-mass energy of 13 TeV. Fiducial cross-sections are extracted in a final state featuring one electron and one muon, with at least three or four $b$-jets. Results are presented at the particle level for both integrated cross-sections and normalised differential cross-sections, as functions of global event properties, jet kinematics, and $b$-jet pair properties. Observable quantities characterising $b$-jets originating from the top quark decay and additional $b$-jets are also measured at the particle level, after correcting for detector effects. The measured integrated fiducial cross-sections are consistent with $t\bar{t}b\bar{b}$ predictions from various next-to-leading-order matrix element calculations matched to a parton shower within the uncertainties of the predictions. State-of-the-art theoretical predictions are compared with the differential measurements; none of them simultaneously describes all observables. Differences between any two predictions are smaller than the measurement uncertainties for most observables.
- - - - - - - - Overview of HEPData Record - - - - - - - - <br/><br/> ATLAS public webpage of paper: <a href="https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/TOPQ-2019-03/">link</a><br/><br/> <b>Fiducial phase space definitions:</b><br/> <i>Particle level:</i> <ul> <li> Common: N E = N MU = 1, CHARGE E != CHARGE MU <li> NJETS >= 2, NBJETS >= 2 <li> NJETS >= 3, NBJETS >= 3 <li> NJETS >= 4, NBJETS >= 3 <li> NJETS >= 4, NBJETS >= 4 <li> NJETS >= 5, NBJETS >= 4 </ul><br/> <b>Objects definitions:</b> <ul> <li> LEP PT > 28 GeV, ABS ETARAP LEP < 2.5 <li> JET PT > 25 GeV, ABS ETARAP JET < 2.5, R JET = 0.4 <li> BJET: >=1 b-hadron with PT > 5 GeV is associated to the jet via ghost matching </ul><br/> <b>Particle level:</b><br/> <br/>Data from Table 06: <a href="153521?table="Fiducial xsec results>Fiducial xsec results </a><br/><br/> <u>1D:</u><br/> Data bootstraps: <ul> <li> Data from Figure 09: <a href="153521?table=Bootstrap $N_{b-jets}$ in $≥2b$">Bootstrap $N_{b-jets}$ in $≥2b$ </a> <li> Data from Figure 10a: <a href="153521?table=Bootstrap $N_{b-jets}$ in $≥3b$">Bootstrap $N_{b-jets}$ in $≥3b$ </a> <li> Data from Figure 10b: <a href="153521?table=Bootstrap $N_{c/l-jets}$ in $≥3b$">Bootstrap $N_{c/l-jets}$ in $≥3b$ </a> <li> Data from Figure 10c: <a href="153521?table=Bootstrap $H_{T}^{had}$ in $≥3b$">Bootstrap $H_{T}^{had}$ in $≥3b$ </a> <li> Data from Figure 10d: <a href="153521?table=Bootstrap $\Delta R_{avg}^{bb}$ in $≥3b$">Bootstrap $\Delta R_{avg}^{bb}$ in $≥3b$ </a> <li> Data from Figure 11a: <a href="153521?table=Bootstrap $p_{T}(b_{1})$ in $≥3b$">Bootstrap $p_{T}(b_{1})$ in $≥3b$ </a> <li> Data from Figure 11b: <a href="153521?table=Bootstrap $p_{T}(b_{2})$ in $≥3b$">Bootstrap $p_{T}(b_{2})$ in $≥3b$ </a> <li> Data from Figure 11c: <a href="153521?table=Bootstrap $p_{T}(b_{1}^{top})$ in $≥3b$">Bootstrap $p_{T}(b_{1}^{top})$ in $≥3b$ </a> <li> Data from Figure 11d: <a href="153521?table=Bootstrap $p_{T}(b_{2}^{top})$ in $≥3b$">Bootstrap $p_{T}(b_{2}^{top})$ in $≥3b$ </a> <li> Data from Figure 12a: <a href="153521?table=Bootstrap $p_{T}(b_{3})$ in $≥3b$">Bootstrap $p_{T}(b_{3})$ in $≥3b$ </a> <li> Data from Figure 12b: <a href="153521?table=Bootstrap $p_{T}(b_{1}^{add})$ in $≥3b$">Bootstrap $p_{T}(b_{1}^{add})$ in $≥3b$ </a> <li> Data from Figure 13a: <a href="153521?table=Bootstrap $m(b_{1}b_{2})$ in $≥3b$">Bootstrap $m(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Figure 13b: <a href="153521?table=Bootstrap $p_{T}(b_{1}b_{2})$ in $≥3b$">Bootstrap $p_{T}(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Figure 13c: <a href="153521?table=Bootstrap $m(bb^{top})$ in $≥3b$">Bootstrap $m(bb^{top})$ in $≥3b$ </a> <li> Data from Figure 13d: <a href="153521?table=Bootstrap $p_{T}(bb^{top})$ in $≥3b$">Bootstrap $p_{T}(bb^{top})$ in $≥3b$ </a> <li> Data from Figure 14a: <a href="153521?table=Bootstrap $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$">Bootstrap $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$ </a> <li> Data from Figure 14b: <a href="153521?table=Bootstrap $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥3b≥1l/c$">Bootstrap $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥3b≥1l/c$ </a> <li> Data from Figure 14c: <a href="153521?table=Bootstrap $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$">Bootstrap $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$ </a> <li> Data from Figure 14d: <a href="153521?table=Bootstrap $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$">Bootstrap $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$ </a> <li> Data from Figure 15a: <a href="153521?table=Bootstrap $m(bb^{min\Delta R})$ in $≥4b$">Bootstrap $m(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Figure 15b: <a href="153521?table=Bootstrap $p_{T}(bb^{min\Delta R})$ in $≥4b$">Bootstrap $p_{T}(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Figure 15c: <a href="153521?table=Bootstrap $m(bb^{add})$ in $≥4b$">Bootstrap $m(bb^{add})$ in $≥4b$ </a> <li> Data from Figure 15d: <a href="153521?table=Bootstrap $p_{T}(bb^{add})$ in $≥4b$">Bootstrap $p_{T}(bb^{add})$ in $≥4b$ </a> <li> Data from Figure 01a (aux): <a href="153521?table=Bootstrap $|\eta(b_{3})|$ in $≥3b$">Bootstrap $|\eta(b_{3})|$ in $≥3b$ </a> <li> Data from Figure 01b (aux): <a href="153521?table=Bootstrap $|\eta(b_{1}^{add})|$ in $≥3b$">Bootstrap $|\eta(b_{1}^{add})|$ in $≥3b$ </a> <li> Data from Figure 02a (aux): <a href="153521?table=Bootstrap $\Delta R(b_{1}b_{2})$ in $≥3b$">Bootstrap $\Delta R(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Figure 02b (aux): <a href="153521?table=Bootstrap $m(e\mu bb^{top})$ in $≥3b$">Bootstrap $m(e\mu bb^{top})$ in $≥3b$ </a> <li> Data from Figure 03a (aux): <a href="153521?table=Bootstrap $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$">Bootstrap $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$ </a> <li> Data from Figure 03b (aux): <a href="153521?table=Bootstrap $\Delta\eta_{max}^{jj}$ in $≥3b$">Bootstrap $\Delta\eta_{max}^{jj}$ in $≥3b$ </a> <li> Data from Figure 04a (aux): <a href="153521?table=Bootstrap $H_{T}^{all}$ in $≥3b$">Bootstrap $H_{T}^{all}$ in $≥3b$ </a> <li> Data from Figure 04b (aux): <a href="153521?table=Bootstrap $m(e\mu b_{1}b_{2})$ in $≥3b$">Bootstrap $m(e\mu b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Figure 05a (aux): <a href="153521?table=Bootstrap $|\eta(b_{1})|$ in $≥3b$">Bootstrap $|\eta(b_{1})|$ in $≥3b$ </a> <li> Data from Figure 05b (aux): <a href="153521?table=Bootstrap $|\eta(b_{2})|$ in $≥3b$">Bootstrap $|\eta(b_{2})|$ in $≥3b$ </a> <li> Data from Figure 05c (aux): <a href="153521?table=Bootstrap $|\eta(b_{1}^{top})|$ in $≥3b$">Bootstrap $|\eta(b_{1}^{top})|$ in $≥3b$ </a> <li> Data from Figure 05d (aux): <a href="153521?table=Bootstrap $|\eta(b_{2}^{top})|$ in $≥3b$">Bootstrap $|\eta(b_{2}^{top})|$ in $≥3b$ </a> <li> Data from Figure 06a (aux): <a href="153521?table=Bootstrap $p_{T}(b_{1})$ in $≥4b$">Bootstrap $p_{T}(b_{1})$ in $≥4b$ </a> <li> Data from Figure 06b (aux): <a href="153521?table=Bootstrap $p_{T}(b_{2})$ in $≥4b$">Bootstrap $p_{T}(b_{2})$ in $≥4b$ </a> <li> Data from Figure 06c (axu): <a href="153521?table=Bootstrap $p_{T}(b_{1}^{top})$ in $≥4b$">Bootstrap $p_{T}(b_{1}^{top})$ in $≥4b$ </a> <li> Data from Figure 06d (aux): <a href="153521?table=Bootstrap $p_{T}(b_{2}^{top})$ in $≥4b$">Bootstrap $p_{T}(b_{2}^{top})$ in $≥4b$ </a> <li> Data from Figure 07a (aux): <a href="153521?table=Bootstrap $p_{T}(b_{3})$ in $≥4b$">Bootstrap $p_{T}(b_{3})$ in $≥4b$ </a> <li> Data from Figure 07b (aux): <a href="153521?table=Bootstrap $p_{T}(b_{4})$ in $≥4b$">Bootstrap $p_{T}(b_{4})$ in $≥4b$ </a> <li> Data from Figure 07c (aux): <a href="153521?table=Bootstrap $p_{T}(b_{1}^{add})$ in $≥4b$">Bootstrap $p_{T}(b_{1}^{add})$ in $≥4b$ </a> <li> Data from Figure 07d (aux): <a href="153521?table=Bootstrap $p_{T}(b_{2}^{add})$ in $≥4b$">Bootstrap $p_{T}(b_{2}^{add})$ in $≥4b$ </a> <li> Data from Figure 08a (aux): <a href="153521?table=Bootstrap $m(b_{1}b_{2})$ in $≥4b$">Bootstrap $m(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Figure 08b (aux): <a href="153521?table=Bootstrap $p_{T}(b_{1}b_{2})$ in $≥4b$">Bootstrap $p_{T}(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Figure 09a (aux): <a href="153521?table=Bootstrap $m(bb^{top})$ in $≥4b$">Bootstrap $m(bb^{top})$ in $≥4b$ </a> <li> Data from Figure 09b (aux): <a href="153521?table=Bootstrap $p_{T}(bb^{top})$ in $≥4b$">Bootstrap $p_{T}(bb^{top})$ in $≥4b$ </a> <li> Data from Figure 10a (aux): <a href="153521?table=Bootstrap $H_{T}^{all}$ in $≥4b$">Bootstrap $H_{T}^{all}$ in $≥4b$ </a> <li> Data from Figure 10b (aux): <a href="153521?table=Bootstrap $m(e\mu b_{1}b_{2})$ in $≥4b$">Bootstrap $m(e\mu b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Figure 11a (aux): <a href="153521?table=Bootstrap $m(e\mu bb^{top})$ in $≥4b$">Bootstrap $m(e\mu bb^{top})$ in $≥4b$ </a> <li> Data from Figure 11b (aux): <a href="153521?table=Bootstrap $H_{T}^{had}$ in $≥4b$">Bootstrap $H_{T}^{had}$ in $≥4b$ </a> <li> Data from Figure 11c (aux): <a href="153521?table=Bootstrap min$\Delta R(bb)$ in $≥4b$">Bootstrap min$\Delta R(bb)$ in $≥4b$ </a> <li> Data from Figure 11d (aux): <a href="153521?table=Bootstrap $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$">Bootstrap $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$ </a> <li> Data from Figure 12a (aux): <a href="153521?table=Bootstrap $\Delta R_{avg}^{bb}$ in $≥4b$">Bootstrap $\Delta R_{avg}^{bb}$ in $≥4b$ </a> <li> Data from Figure 12b (aux): <a href="153521?table=Bootstrap $\Delta\eta_{max}^{jj}$ in $≥4b$">Bootstrap $\Delta\eta_{max}^{jj}$ in $≥4b$ </a> <li> Data from Figure 12c (aux): <a href="153521?table=Bootstrap $N_{l/c-jets}$ in $≥4b$">Bootstrap $N_{l/c-jets}$ in $≥4b$ </a> <li> Data from Figure 13a (aux): <a href="153521?table=Bootstrap $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$">Bootstrap $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$ </a> <li> Data from Figure 13b (aux): <a href="153521?table=Bootstrap $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$">Bootstrap $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$ </a> <li> Data from Figure 13c (aux): <a href="153521?table=Bootstrap $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$">Bootstrap $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$ </a> <li> Data from Figure 13d (aux): <a href="153521?table=Bootstrap $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$">Bootstrap $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$ </a> <li> Data from Figure 14a (aux): <a href="153521?table=Bootstrap $|\eta(b_{1})|$ in $≥4b$">Bootstrap $|\eta(b_{1})|$ in $≥4b$ </a> <li> Data from Figure 14b (aux): <a href="153521?table=Bootstrap $|\eta(b_{2})|$ in $≥4b$">Bootstrap $|\eta(b_{2})|$ in $≥4b$ </a> <li> Data from Figure 14c (aux): <a href="153521?table=Bootstrap $|\eta(b_{1}^{top})|$ in $≥4b$">Bootstrap $|\eta(b_{1}^{top})|$ in $≥4b$ </a> <li> Data from Figure 14d (aux): <a href="153521?table=Bootstrap $|\eta(b_{2}^{top})|$ in $≥4b$">Bootstrap $|\eta(b_{2}^{top})|$ in $≥4b$ </a> <li> Data from Figure 15a (aux): <a href="153521?table=Bootstrap $|\eta(b_{3})|$ in $≥4b$">Bootstrap $|\eta(b_{3})|$ in $≥4b$ </a> <li> Data from Figure 15b (aux): <a href="153521?table=Bootstrap $|\eta(b_{4})|$ in $≥4b$">Bootstrap $|\eta(b_{4})|$ in $≥4b$ </a> <li> Data from Figure 15c (aux): <a href="153521?table=Bootstrap $|\eta(b_{1}^{add})|$ in $≥4b$">Bootstrap $|\eta(b_{1}^{add})|$ in $≥4b$ </a> <li> Data from Figure 15d (aux): <a href="153521?table=Bootstrap $|\eta(b_{2}^{add})|$ in $≥4b$">Bootstrap $|\eta(b_{2}^{add})|$ in $≥4b$ </a> </ul><br/> Measurements: <ul> <li> Data from Table 01 (aux): <a href="153521?table=Diff. XS $N_{b-jets}$ in $≥2b$">Diff. XS $N_{b-jets}$ in $≥2b$ </a> <li> Data from Table 02 (aux): <a href="153521?table=Diff. XS $H_{T}^{had}$ in $≥3b$">Diff. XS $H_{T}^{had}$ in $≥3b$ </a> <li> Data from Table 03 (aux): <a href="153521?table=Diff. XS $H_{T}^{all}$ in $≥3b$">Diff. XS $H_{T}^{all}$ in $≥3b$ </a> <li> Data from Table 04 (aux): <a href="153521?table=Diff. XS $\Delta R_{avg}^{bb}$ in $≥3b$">Diff. XS $\Delta R_{avg}^{bb}$ in $≥3b$ </a> <li> Data from Table 05 (aux): <a href="153521?table=Diff. XS $\Delta\eta_{max}^{jj}$ in $≥3b$">Diff. XS $\Delta\eta_{max}^{jj}$ in $≥3b$ </a> <li> Data from Table 06 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1})$ in $≥3b$">Diff. XS $p_{T}(b_{1})$ in $≥3b$ </a> <li> Data from Table 07 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}^{top})$ in $≥3b$">Diff. XS $p_{T}(b_{1}^{top})$ in $≥3b$ </a> <li> Data from Table 08 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{2})$ in $≥3b$">Diff. XS $p_{T}(b_{2})$ in $≥3b$ </a> <li> Data from Table 09 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{2}^{top})$ in $≥3b$">Diff. XS $p_{T}(b_{2}^{top})$ in $≥3b$ </a> <li> Data from Table 10 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{3})$ in $≥3b$">Diff. XS $p_{T}(b_{3})$ in $≥3b$ </a> <li> Data from Table 11 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}^{add})$ in $≥3b$">Diff. XS $p_{T}(b_{1}^{add})$ in $≥3b$ </a> <li> Data from Table 12 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1})|$ in $≥3b$">Diff. XS $|\eta(b_{1})|$ in $≥3b$ </a> <li> Data from Table 13 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1}^{top})|$ in $≥3b$">Diff. XS $|\eta(b_{1}^{top})|$ in $≥3b$ </a> <li> Data from Table 14 (aux): <a href="153521?table=Diff. XS $|\eta(b_{2})|$ in $≥3b$">Diff. XS $|\eta(b_{2})|$ in $≥3b$ </a> <li> Data from Table 15 (aux): <a href="153521?table=Diff. XS $|\eta(b_{2}^{top})|$ in $≥3b$">Diff. XS $|\eta(b_{2}^{top})|$ in $≥3b$ </a> <li> Data from Table 16 (aux): <a href="153521?table=Diff. XS $|\eta(b_{3})|$ in $≥3b$">Diff. XS $|\eta(b_{3})|$ in $≥3b$ </a> <li> Data from Table 17 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1}^{add})|$ in $≥3b$">Diff. XS $|\eta(b_{1}^{add})|$ in $≥3b$ </a> <li> Data from Table 18 (aux): <a href="153521?table=Diff. XS $m(b_{1}b_{2})$ in $≥3b$">Diff. XS $m(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 19 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}b_{2})$ in $≥3b$">Diff. XS $p_{T}(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 20 (aux): <a href="153521?table=Diff. XS $m(bb^{top})$ in $≥3b$">Diff. XS $m(bb^{top})$ in $≥3b$ </a> <li> Data from Table 21 (aux): <a href="153521?table=Diff. XS $p_{T}(bb^{top})$ in $≥3b$">Diff. XS $p_{T}(bb^{top})$ in $≥3b$ </a> <li> Data from Table 22 (aux): <a href="153521?table=Diff. XS $m(e\mu b_{1}b_{2})$ in $≥3b$">Diff. XS $m(e\mu b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 23 (aux): <a href="153521?table=Diff. XS $m(e\mu bb^{top})$ in $≥3b$">Diff. XS $m(e\mu bb^{top})$ in $≥3b$ </a> <li> Data from Table 24 (aux): <a href="153521?table=Diff. XS $\Delta R(b_{1}b_{2})$ in $≥3b$">Diff. XS $\Delta R(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 25 (aux): <a href="153521?table=Diff. XS $N_{l/c-jets}$ in $≥3b$">Diff. XS $N_{l/c-jets}$ in $≥3b$ </a> <li> Data from Table 26 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥3b$">Diff. XS $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥3b$ </a> <li> Data from Table 27 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$">Diff. XS $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$ </a> <li> Data from Table 28 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu bb^{top},l/c-jet)$ in $≥3b≥1l/c$">Diff. XS $\Delta R(e\mu bb^{top},l/c-jet)$ in $≥3b≥1l/c$ </a> <li> Data from Table 29 (aux): <a href="153521?table=Diff. XS $p_{T}(l/c-jet_{1}) - p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$">Diff. XS $p_{T}(l/c-jet_{1}) - p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$ </a> <li> Data from Table 30 (aux): <a href="153521?table=Diff. XS $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$">Diff. XS $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$ </a> <li> Data from Table 31 (aux): <a href="153521?table=Diff. XS $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$">Diff. XS $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$ </a> <li> Data from Table 32 (aux): <a href="153521?table=Diff. XS $H_{T}^{had}$ in $≥4b$">Diff. XS $H_{T}^{had}$ in $≥4b$ </a> <li> Data from Table 33 (aux): <a href="153521?table=Diff. XS $H_{T}^{all}$ in $≥4b$">Diff. XS $H_{T}^{all}$ in $≥4b$ </a> <li> Data from Table 34 (aux): <a href="153521?table=Diff. XS $\Delta R_{avg}^{bb}$ in $≥4b$">Diff. XS $\Delta R_{avg}^{bb}$ in $≥4b$ </a> <li> Data from Table 35 (aux): <a href="153521?table=Diff. XS $\Delta\eta_{max}^{jj}$ in $≥4b$">Diff. XS $\Delta\eta_{max}^{jj}$ in $≥4b$ </a> <li> Data from Table 36 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1})$ in $≥4b$">Diff. XS $p_{T}(b_{1})$ in $≥4b$ </a> <li> Data from Table 37 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}^{top})$ in $≥4b$">Diff. XS $p_{T}(b_{1}^{top})$ in $≥4b$ </a> <li> Data from Table 38 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{2})$ in $≥4b$">Diff. XS $p_{T}(b_{2})$ in $≥4b$ </a> <li> Data from Table 39 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{2}^{top})$ in $≥4b$">Diff. XS $p_{T}(b_{2}^{top})$ in $≥4b$ </a> <li> Data from Table 40 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{3})$ in $≥4b$">Diff. XS $p_{T}(b_{3})$ in $≥4b$ </a> <li> Data from Table 41 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}^{add})$ in $≥4b$">Diff. XS $p_{T}(b_{1}^{add})$ in $≥4b$ </a> <li> Data from Table 42 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{4})$ in $≥4b$">Diff. XS $p_{T}(b_{4})$ in $≥4b$ </a> <li> Data from Table 43 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{2}^{add})$ in $≥4b$">Diff. XS $p_{T}(b_{2}^{add})$ in $≥4b$ </a> <li> Data from Table 44 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1})|$ in $≥4b$">Diff. XS $|\eta(b_{1})|$ in $≥4b$ </a> <li> Data from Table 45 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1}^{top})|$ in $≥4b$">Diff. XS $|\eta(b_{1}^{top})|$ in $≥4b$ </a> <li> Data from Table 46 (aux): <a href="153521?table=Diff. XS $|\eta(b_{2})|$ in $≥4b$">Diff. XS $|\eta(b_{2})|$ in $≥4b$ </a> <li> Data from Table 47 (aux): <a href="153521?table=Diff. XS $|\eta(b_{2}^{top})|$ in $≥4b$">Diff. XS $|\eta(b_{2}^{top})|$ in $≥4b$ </a> <li> Data from Table 48 (aux): <a href="153521?table=Diff. XS $|\eta(b_{3})|$ in $≥4b$">Diff. XS $|\eta(b_{3})|$ in $≥4b$ </a> <li> Data from Table 49 (aux): <a href="153521?table=Diff. XS $|\eta(b_{1}^{add})|$ in $≥4b$">Diff. XS $|\eta(b_{1}^{add})|$ in $≥4b$ </a> <li> Data from Table 50 (aux): <a href="153521?table=Diff. XS $|\eta(b_{4})|$ in $≥4b$">Diff. XS $|\eta(b_{4})|$ in $≥4b$ </a> <li> Data from Table 51 (aux): <a href="153521?table=Diff. XS $|\eta(b_{2}^{add})|$ in $≥4b$">Diff. XS $|\eta(b_{2}^{add})|$ in $≥4b$ </a> <li> Data from Table 52 (aux): <a href="153521?table=Diff. XS $m(b_{1}b_{2})$ in $≥4b$">Diff. XS $m(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 53 (aux): <a href="153521?table=Diff. XS $p_{T}(b_{1}b_{2})$ in $≥4b$">Diff. XS $p_{T}(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 54 (aux): <a href="153521?table=Diff. XS $m(bb^{top})$ in $≥4b$">Diff. XS $m(bb^{top})$ in $≥4b$ </a> <li> Data from Table 55 (aux): <a href="153521?table=Diff. XS $p_{T}(bb^{top})$ in $≥4b$">Diff. XS $p_{T}(bb^{top})$ in $≥4b$ </a> <li> Data from Table 56 (aux): <a href="153521?table=Diff. XS $m(e\mu b_{1}b_{2})$ in $≥4b$">Diff. XS $m(e\mu b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 57 (aux): <a href="153521?table=Diff. XS $m(e\mu bb^{top})$ in $≥4b$">Diff. XS $m(e\mu bb^{top})$ in $≥4b$ </a> <li> Data from Table 58 (aux): <a href="153521?table=Diff. XS $m(bb^{min\Delta R})$ in $≥4b$">Diff. XS $m(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Table 59 (aux): <a href="153521?table=Diff. XS $p_{T}(bb^{min\Delta R})$ in $≥4b$">Diff. XS $p_{T}(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Table 60 (aux): <a href="153521?table=Diff. XS $m(bb^{add})$ in $≥4b$">Diff. XS $m(bb^{add})$ in $≥4b$ </a> <li> Data from Table 61 (aux): <a href="153521?table=Diff. XS $p_{T}(bb^{add})$ in $≥4b$">Diff. XS $p_{T}(bb^{add})$ in $≥4b$ </a> <li> Data from Table 62 (aux): <a href="153521?table=Diff. XS $min\Delta R(bb)$ in $≥4b$">Diff. XS $min\Delta R(bb)$ in $≥4b$ </a> <li> Data from Table 63 (aux): <a href="153521?table=Diff. XS $\Delta R(b_{1}b_{2})$ in $≥4b$">Diff. XS $\Delta R(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 64 (aux): <a href="153521?table=Diff. XS $N_{l/c-jets}$ in $≥4b$">Diff. XS $N_{l/c-jets}$ in $≥4b$ </a> <li> Data from Table 65 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥4b$">Diff. XS $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥4b$ </a> <li> Data from Table 66 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$">Diff. XS $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$ </a> <li> Data from Table 67 (aux): <a href="153521?table=Diff. XS $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$">Diff. XS $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$ </a> <li> Data from Table 68 (aux): <a href="153521?table=Diff. XS $p_{T}(l/c-jet_{1}) - p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$">Diff. XS $p_{T}(l/c-jet_{1}) - p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$ </a> <li> Data from Table 69 (aux): <a href="153521?table=Diff. XS $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$">Diff. XS $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$ </a> <li> Data from Table 70 (aux): <a href="153521?table=Diff. XS $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$">Diff. XS $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$ </a> </ul><br/> <u>2D:</u><br/> Correlation matrices: <ul> <li> Data from Table 71 (aux): <a href="153521?table=Corr. mtrx $N_{b-jets}$ in $≥2b$">Corr. mtrx $N_{b-jets}$ in $≥2b$ </a> <li> Data from Table 72 (aux): <a href="153521?table=Corr. mtrx $N_{b-jets}$ in $≥3b$">Corr. mtrx $N_{b-jets}$ in $≥3b$ </a> <li> Data from Table 73 (aux): <a href="153521?table=Corr. mtrx $H_{T}^{had}$ in $≥3b$">Corr. mtrx $H_{T}^{had}$ in $≥3b$ </a> <li> Data from Table 74 (aux): <a href="153521?table=Corr. mtrx $H_{T}^{all}$ in $≥3b$">Corr. mtrx $H_{T}^{all}$ in $≥3b$ </a> <li> Data from Table 75 (aux): <a href="153521?table=Corr. mtrx $\Delta R_{avg}^{bb}$ in $≥3b$">Corr. mtrx $\Delta R_{avg}^{bb}$ in $≥3b$ </a> <li> Data from Table 76 (aux): <a href="153521?table=Corr. mtrx $\Delta\eta_{max}^{jj}$ in $≥3b$">Corr. mtrx $\Delta\eta_{max}^{jj}$ in $≥3b$ </a> <li> Data from Table 77 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1})$ in $≥3b$">Corr. mtrx $p_{T}(b_{1})$ in $≥3b$ </a> <li> Data from Table 78 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}^{top})$ in $≥3b$">Corr. mtrx $p_{T}(b_{1}^{top})$ in $≥3b$ </a> <li> Data from Table 79 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{2})$ in $≥3b$">Corr. mtrx $p_{T}(b_{2})$ in $≥3b$ </a> <li> Data from Table 80 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{2}^{top})$ in $≥3b$">Corr. mtrx $p_{T}(b_{2}^{top})$ in $≥3b$ </a> <li> Data from Table 81 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{3})$ in $≥3b$">Corr. mtrx $p_{T}(b_{3})$ in $≥3b$ </a> <li> Data from Table 82 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}^{add})$ in $≥3b$">Corr. mtrx $p_{T}(b_{1}^{add})$ in $≥3b$ </a> <li> Data from Table 83 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1})|$ in $≥3b$">Corr. mtrx $|\eta(b_{1})|$ in $≥3b$ </a> <li> Data from Table 84 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1}^{top})|$ in $≥3b$">Corr. mtrx $|\eta(b_{1}^{top})|$ in $≥3b$ </a> <li> Data from Table 85 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{2})|$ in $≥3b$">Corr. mtrx $|\eta(b_{2})|$ in $≥3b$ </a> <li> Data from Table 86 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{2}^{top})|$ in $≥3b$">Corr. mtrx $|\eta(b_{2}^{top})|$ in $≥3b$ </a> <li> Data from Table 87 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{3})|$ in $≥3b$">Corr. mtrx $|\eta(b_{3})|$ in $≥3b$ </a> <li> Data from Table 88 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1}^{add})|$ in $≥3b$">Corr. mtrx $|\eta(b_{1}^{add})|$ in $≥3b$ </a> <li> Data from Table 89 (aux): <a href="153521?table=Corr. mtrx $m(b_{1}b_{2})$ in $≥3b$">Corr. mtrx $m(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 90 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}b_{2})$ in $≥3b$">Corr. mtrx $p_{T}(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 91 (aux): <a href="153521?table=Corr. mtrx $m(bb^{top})$ in $≥3b$">Corr. mtrx $m(bb^{top})$ in $≥3b$ </a> <li> Data from Table 92 (aux): <a href="153521?table=Corr. mtrx $p_{T}(bb^{top})$ in $≥3b$">Corr. mtrx $p_{T}(bb^{top})$ in $≥3b$ </a> <li> Data from Table 93 (aux): <a href="153521?table=Corr. mtrx $m(e\mu b_{1}b_{2})$ in $≥3b$">Corr. mtrx $m(e\mu b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 94 (aux): <a href="153521?table=Corr. mtrx $m(e\mu bb^{top})$ in $≥3b$">Corr. mtrx $m(e\mu bb^{top})$ in $≥3b$ </a> <li> Data from Table 95 (aux): <a href="153521?table=Corr. mtrx $\Delta R(b_{1}b_{2})$ in $≥3b$">Corr. mtrx $\Delta R(b_{1}b_{2})$ in $≥3b$ </a> <li> Data from Table 96 (aux): <a href="153521?table=Corr. mtrx $N_{l/c-jets}$ in $≥3b$">Corr. mtrx $N_{l/c-jets}$ in $≥3b$ </a> <li> Data from Table 97 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥3b$">Corr. mtrx $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥3b$ </a> <li> Data from Table 98 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$">Corr. mtrx $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥3b$ </a> <li> Data from Table 99 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu bb^{top},l/c-jet)$ in $≥3b≥1l/c$">Corr. mtrx $\Delta R(e\mu bb^{top},l/c-jet)$ in $≥3b≥1l/c$ </a> <li> Data from Table 100 (aux): <a href="153521?table=Corr. mtrx $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$">Corr. mtrx $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥3b≥1l/c$ </a> <li> Data from Table 101 (aux): <a href="153521?table=Corr. mtrx $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$">Corr. mtrx $|\eta(l/c-jet_{1})|$ in $≥3b≥1l/c$ </a> <li> Data from Table 102 (aux): <a href="153521?table=Corr. mtrx $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$">Corr. mtrx $p_{T}(l/c-jet_{1})$ in $≥3b≥1l/c$ </a> <li> Data from Table 103 (aux): <a href="153521?table=Corr. mtrx $H_{T}^{had}$ in $≥4b$">Corr. mtrx $H_{T}^{had}$ in $≥4b$ </a> <li> Data from Table 104 (aux): <a href="153521?table=Corr. mtrx $H_{T}^{all}$ in $≥4b$">Corr. mtrx $H_{T}^{all}$ in $≥4b$ </a> <li> Data from Table 105 (aux): <a href="153521?table=Corr. mtrx $\Delta R_{avg}^{bb}$ in $≥4b$">Corr. mtrx $\Delta R_{avg}^{bb}$ in $≥4b$ </a> <li> Data from Table 106 (aux): <a href="153521?table=Corr. mtrx $\Delta\eta_{max}^{jj}$ in $≥4b$">Corr. mtrx $\Delta\eta_{max}^{jj}$ in $≥4b$ </a> <li> Data from Table 107 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1})$ in $≥4b$">Corr. mtrx $p_{T}(b_{1})$ in $≥4b$ </a> <li> Data from Table 108 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}^{top})$ in $≥4b$">Corr. mtrx $p_{T}(b_{1}^{top})$ in $≥4b$ </a> <li> Data from Table 109 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{2})$ in $≥4b$">Corr. mtrx $p_{T}(b_{2})$ in $≥4b$ </a> <li> Data from Table 110 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{2}^{top})$ in $≥4b$">Corr. mtrx $p_{T}(b_{2}^{top})$ in $≥4b$ </a> <li> Data from Table 111 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{3})$ in $≥4b$">Corr. mtrx $p_{T}(b_{3})$ in $≥4b$ </a> <li> Data from Table 112 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}^{add})$ in $≥4b$">Corr. mtrx $p_{T}(b_{1}^{add})$ in $≥4b$ </a> <li> Data from Table 113 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{4})$ in $≥4b$">Corr. mtrx $p_{T}(b_{4})$ in $≥4b$ </a> <li> Data from Table 114 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{2}^{add})$ in $≥4b$">Corr. mtrx $p_{T}(b_{2}^{add})$ in $≥4b$ </a> <li> Data from Table 115 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1})|$ in $≥4b$">Corr. mtrx $|\eta(b_{1})|$ in $≥4b$ </a> <li> Data from Table 116 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1}^{top})|$ in $≥4b$">Corr. mtrx $|\eta(b_{1}^{top})|$ in $≥4b$ </a> <li> Data from Table 117 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{2})|$ in $≥4b$">Corr. mtrx $|\eta(b_{2})|$ in $≥4b$ </a> <li> Data from Table 118 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{2}^{top})|$ in $≥4b$">Corr. mtrx $|\eta(b_{2}^{top})|$ in $≥4b$ </a> <li> Data from Table 119 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{3})|$ in $≥4b$">Corr. mtrx $|\eta(b_{3})|$ in $≥4b$ </a> <li> Data from Table 120 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{1}^{add})|$ in $≥4b$">Corr. mtrx $|\eta(b_{1}^{add})|$ in $≥4b$ </a> <li> Data from Table 121 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{4})|$ in $≥4b$">Corr. mtrx $|\eta(b_{4})|$ in $≥4b$ </a> <li> Data from Table 122 (aux): <a href="153521?table=Corr. mtrx $|\eta(b_{2}^{add})|$ in $≥4b$">Corr. mtrx $|\eta(b_{2}^{add})|$ in $≥4b$ </a> <li> Data from Table 123 (aux): <a href="153521?table=Corr. mtrx $m(b_{1}b_{2})$ in $≥4b$">Corr. mtrx $m(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 124 (aux): <a href="153521?table=Corr. mtrx $p_{T}(b_{1}b_{2})$ in $≥4b$">Corr. mtrx $p_{T}(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 125 (aux): <a href="153521?table=Corr. mtrx $m(bb^{top})$ in $≥4b$">Corr. mtrx $m(bb^{top})$ in $≥4b$ </a> <li> Data from Table 126 (aux): <a href="153521?table=Corr. mtrx $p_{T}(bb^{top})$ in $≥4b$">Corr. mtrx $p_{T}(bb^{top})$ in $≥4b$ </a> <li> Data from Table 127 (aux): <a href="153521?table=Corr. mtrx $m(e\mu b_{1}b_{2})$ in $≥4b$">Corr. mtrx $m(e\mu b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 128 (aux): <a href="153521?table=Corr. mtrx $m(e\mu bb^{top})$ in $≥4b$">Corr. mtrx $m(e\mu bb^{top})$ in $≥4b$ </a> <li> Data from Table 129 (aux): <a href="153521?table=Corr. mtrx $m(bb^{min\Delta R})$ in $≥4b$">Corr. mtrx $m(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Table 130 (aux): <a href="153521?table=Corr. mtrx $p_{T}(bb^{min\Delta R})$ in $≥4b$">Corr. mtrx $p_{T}(bb^{min\Delta R})$ in $≥4b$ </a> <li> Data from Table 131 (aux): <a href="153521?table=Corr. mtrx $m(bb^{add})$ in $≥4b$">Corr. mtrx $m(bb^{add})$ in $≥4b$ </a> <li> Data from Table 132 (aux): <a href="153521?table=Corr. mtrx $p_{T}(bb^{add})$ in $≥4b$">Corr. mtrx $p_{T}(bb^{add})$ in $≥4b$ </a> <li> Data from Table 133 (aux): <a href="153521?table=Corr. mtrx min$\Delta R(bb)$ in $≥4b$">Corr. mtrx min$\Delta R(bb)$ in $≥4b$ </a> <li> Data from Table 134 (aux): <a href="153521?table=Corr. mtrx $\Delta R(b_{1}b_{2})$ in $≥4b$">Corr. mtrx $\Delta R(b_{1}b_{2})$ in $≥4b$ </a> <li> Data from Table 135 (aux): <a href="153521?table=Corr. mtrx $N_{l/c-jets}$ in $≥4b$">Corr. mtrx $N_{l/c-jets}$ in $≥4b$ </a> <li> Data from Table 136 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥4b$">Corr. mtrx $\Delta R(e\mu b_{1}b_{2},b_{3})$ in $≥4b$ </a> <li> Data from Table 137 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$">Corr. mtrx $\Delta R(e\mu bb^{top}, b_{1}^{add})$ in $≥4b$ </a> <li> Data from Table 138 (aux): <a href="153521?table=Corr. mtrx $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$">Corr. mtrx $\Delta R(e\mu bb^{top}, l/c-jet_{1})$ in $≥4b≥1l/c$ </a> <li> Data from Table 139 (aux): <a href="153521?table=Corr. mtrx $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$">Corr. mtrx $p_{T}(l/c-jet_{1})-p_{T}(b_{1}^{add})$ in $≥4b≥1l/c$ </a> <li> Data from Table 140 (aux): <a href="153521?table=Corr. mtrx $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$">Corr. mtrx $|\eta(l/c-jet_{1})|$ in $≥4b≥1l/c$ </a> <li> Data from Table 141 (aux): <a href="153521?table=Corr. mtrx $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$">Corr. mtrx $p_{T}(l/c-jet_{1})$ in $≥4b≥1l/c$ </a> </ul><br/>
Measured and predicted fiducial cross-section results for additional b-jet production in four phase-space regions. The dashes (–) indicate that the predictions are not available. The differences between the various MC generator predictions are smaller than the size of theoretical uncertainties (20%–50%, not presented here) in the predictions.
Data bootstraps post unfolding for the normalised differential cross-section in the phase space with at least two $b$-jets as a function of the number of $b$-jets compared with predictions. The replicas are obtained by reweighting each observed data event by a random integer generated according to Poisson statistics, using the BootstrapGenerator software package (https://gitlab.cern.ch/atlas-physics/sm/StandardModelTools_BootstrapGenerator/BootstrapGenerator), which implements a technique described in ATL-PHYS-PUB-2021-011 (https://cds.cern.ch/record/2759945). The ATLAS event number and run number of each event are used as seed to uniquely but reproducibly initialise the random number generator for each event. The last bin contains the overflow.
An analysis of the production of a Higgs boson ($H$) in association with a top quark-antiquark pair ($\mathrm{t\bar{t}}H$) or a single top quark ($tH$) is presented. The Higgs boson decay into a bottom quark-antiquark pair ($H \to\mathrm{b\bar{b}}$) is targeted, and three different final states of the top quark decays are considered, defined by the number of leptons (electrons or muons) in the event. The analysis utilises proton-proton collision data collected at the CERN LHC with the CMS experiment at $\sqrt{s}$ = 13 TeV in 2016-2018, which correspond to an integrated luminosity of 138 fb$^{-1}$. The observed $\mathrm{t\bar{t}}H$ production rate relative to the standard model expectation is 0.33 $\pm$ 0.26 = 0.33 $\pm$ 0.17 (stat) $\pm$ 0.21 (syst). Additionally, the $\mathrm{t\bar{t}}H$ production rate is determined in intervals of Higgs boson transverse momentum. An upper limit at 95% confidence level is set on the tH production rate of 14.6 times the standard model prediction, with an expectation of 19.3 $^{+9.2}_{-6.0}$. Finally, constraints are derived on the strength and structure of the coupling between the Higgs boson and the top quark from simultaneous extraction of the $\mathrm{t\bar{t}}H$ and $tH$ production rates, and the results are combined with those obtained in other Higgs boson decay channels.
Best fit results of the ttH signal-strength modifier in each channel, in each year, and in the combination of all channels and years. Uncertainties are correlated between the channels and years.
Likelihood-ratio test statistic as a function of the ttH strength modifiers $\mu_{ttH}$ and the $ttB$ background normalisation. The observed best fit point is $(\mu_{ttH}, ttB) = (0.33, 1.19)$.
Best fit results of the ttH signal-strength modifiers in the different Higgs pT bins of the STXS measurement.
Measurements at $\sqrt{s}$ = 13.6 TeV of the opposite-sign W boson pair production cross section in proton-proton collisions are presented. The data used in this study were collected with the CMS detector at the CERN LHC in 2022, and correspond to an integrated luminosity of 34.8 fb$^{-1}$. Events are selected by requiring one electron and one muon of opposite charge. A maximum likelihood fit is performed on signal- and background-enriched data categories defined by the flavour and charge of the leptons, the number of jets, and number of jets originating from b quarks. An inclusive W$^+$W$^-$ production cross section of 125.7 $\pm$ 5.6 pb is measured, in agreement with standard model predictions. Cross sections are also reported in a fiducial region close to that of the detector acceptance, both inclusively and differentially, as a function of the jet multiplicity in the event. For first time in proton-proton collisions, WW events with at least two reconstructed jets are studied and compared with recent theoretical predictions.
Summary of inclusive cross section.
Summary of inclusive cross section.
Relative systematic uncertainties in the total cross section measurement.
The Large Hadron Collider at CERN, delivering proton-proton collisions at much higher energies and far higher luminosities than previous machines, has enabled a comprehensive programme of measurements of the standard model (SM) processes by the CMS experiment. These unprecedented capabilities facilitate precise measurements of the properties of a wide array of processes, the most fundamental being cross sections. The discovery of the Higgs boson and the measurement of its mass became the keystone of the SM. Knowledge of the mass of the Higgs boson allows precision comparisons of the predictions of the SM with the corresponding measurements. These measurements span the range from one of the most copious SM processes, the total inelastic cross section for proton-proton interactions, to the rarest ones, such as Higgs boson pair production. They cover the production of Higgs bosons, top quarks, single and multibosons, and hadronic jets. Associated parameters, such as coupling constants, are also measured. These cross section measurements can be pictured as a descending stairway, on which the lowest steps represent the rarest processes allowed by the SM, some never seen before.
Cross sections of selected high-energy processes measured by the CMS experiment. Measurements performed at different LHC pp collision energies are marked by unique symbols and the coloured bands indicate the combined statistical and systematic uncertainty of the measurement. Grey bands indicate the uncertainty of the corresponding SM theory predictions. Shaded hashed bars indicate the excluded cross section region for a production process with the measured 95% CL upper limit on the process indicated by the solid line of the same colour.
Summary of production cross section measurements involving top quarks. Measurements performed at different LHC pp collision energies are marked by unique symbols and the coloured bands indicate the combined statistical and systematic uncertainty of the measurement. Grey bands indicate the uncertainty of the corresponding SM theory predictions. Shaded hashed bars indicate the excluded cross section region for a production process with the measured 95% C.L. upper limit on the process indicated by the solid line of the same colour.
Summary of measurements of jet cross sections and electroweak processes in association with jets. Measurements performed at different LHC pp collision energies are marked by unique symbols and the coloured bands indicate the combined statistical and systematic uncertainty of the measurement. Grey bands indicate the uncertainty of the corresponding SM theory predictions. Shaded hashed bars indicate the excluded cross section region for a production process with the measured 95% C.L. upper limit on the process indicated by the solid line of the same colour. Versions of these plots in pdf format with links to the publications can be found at https://cms-results.web.cern.ch/cms-results/public-results/publications/SMP-23-004/.
This paper reports the observation of top-quark pair production in proton-lead collisions in the ATLAS experiment at the Large Hadron Collider. The measurement is performed using 165 nb$^{-1}$ of $p$+Pb data collected at $\sqrt{s_\mathrm{NN}}=8.16$ TeV in 2016. Events are categorised in two analysis channels, consisting of either events with exactly one lepton (electron or muon) and at least four jets, or events with two opposite-charge leptons and at least two jets. In both channels at least one $b$-tagged jet is also required. Top-quark pair production is observed with a significance over five standard deviations in each channel. The top-quark pair production cross-section is measured to be $\sigma_{t\bar{t}}= 58.1\pm 2.0\;\mathrm{(stat.)\;^{+4.8}_{-4.4} \;\mathrm{(syst.)}}\;\mathrm{nb}$, with a total uncertainty of 9%. In addition, the nuclear modification factor is measured to be $R_{p\mathrm{A}} = 1.090\pm0.039\;(\mathrm{stat.})\;^{+0.094}_{-0.087}\;(\mathrm{syst.})$. The measurements are found to be in good agreement with theory predictions involving nuclear parton distribution functions.
The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 1b$ $e$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.
The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 1b$ $e$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.
The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 1b$ $\mu$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.
A search for the resonant production of a heavy scalar $X$ decaying into a Higgs boson and a new lighter scalar $S$, through the process $X \to S(\to bb) H(\to \gamma\gamma)$, where the two photons are consistent with the Higgs boson decay, is performed. The search is conducted using an integrated luminosity of 140 fb$^{-1}$ of proton-proton collision data at a centre-of-mass energy of 13 TeV recorded with the ATLAS detector at the Large Hadron Collider. The search is performed over the mass range 170 $\leq$$m_{X}$$\leq$ 1000 GeV and 15 $\leq$$m_{S}$$\leq$ 500 GeV. Parameterised neural networks are used to enhance the signal purity and to achieve continuous sensitivity in a domain of the ($m_{X}$, $m_{S}$) plane. No significant excess above the expected background is found and 95% CL upper limits are set on the cross section times branching ratio, ranging from 39 fb to 0.09 fb. The largest deviation from the background-only expectation occurs for ($m_{X}$, $m_{S}$) = (575, 200) GeV with a local (global) significance of 3.5 (2.0) standard deviations.
Number of events for the 2 b-jet process category obtained from a background-only fit to data in the signal region and sideband. In the signal region the yield in the most signal-like bin of the PNN distribution, parameterised to the signal point mass (mX, mS) = (250, 100) GeV, is also provided. The uncertainties are symmetrised around the central value. The uncertainty in the total background is calculated taking correlations between the individual contributions into account. For the single Higgs boson processes, 'Other' includes the following production modes: VBF, WH, tHq, and tHW.
Number of events for the 1 b-jet process category obtained from a background-only fit to data in the signal region and sideband. In the signal region the yield in the most signal-like bin of the PNN distribution, parameterised to the signal point mass (mX, mS) = (1000, 70) GeV, is also provided. The uncertainties are symmetrised around the central value. The uncertainty in the total background is calculated taking correlations between the individual contributions into account. For the single Higgs boson processes, 'Other' includes the following production modes: VBF, WH, tHq, and tHW.
Expected and observed 95% CL upper limits on the signal cross section times the branching ratio of X → SH → b b $\gamma \gamma$ shown in the (mX, mS) plane, for each evaluated point. The values of the expected limit one and two standard deviations from the nominal value are also shown. The band at mS = 125 GeV is not included as these signal points are equivalent to those already probed in Phys. Rev. D 106 (2022) 052001.
We report a measurement of the $e^+e^- \to \pi^+\pi^-\pi^0$ cross section in the energy range from 0.62 to 3.50 GeV using an initial-state radiation technique. We use an $e^+e^-$ data sample corresponding to 191 $\text{fb}^{-1}$ of integrated luminosity, collected at a center-of-mass energy at or near the $\Upsilon{(4S)}$ resonance with the Belle II detector at the SuperKEKB collider. Signal yields are extracted by fitting the two-photon mass distribution in $e^+e^- \to \pi^+\pi^-\pi^0\gamma$ events, which involve a $\pi^0 \to \gamma\gamma$ decay and an energetic photon radiated from the initial state. Signal efficiency corrections with an accuracy of 1.6% are obtained from several control data samples. The uncertainty on the cross section at the $\omega$ and $\phi$ resonances is dominated by the systematic uncertainty of 2.2%. The resulting cross sections in the 0.62-1.80 GeV energy range yield $ a_\mu^{3\pi} = [48.91 \pm 0.23~(\mathrm{stat}) \pm 1.07~(\mathrm{syst})] \times 10^{-10} $ for the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. This result differs by $2.5$ standard deviations from the most precise current determination.
Energy bin range ($\sqrt{s'}$), number of events after unfolding ($N_{\mathrm{unf}}$), corrected efficiency ($\varepsilon$), and cross section ($\sigma_{3\pi}$) for $e^{+}e^{-} \to \pi^{+} \pi^{-} \pi^{0}$ in energy range 0.62--1.05~GeV. The two uncertainties in the cross section are the statistical and systematic contributions. The statistical uncertainties for the unfolding and cross section are square roots of the diagonal components of the unfolding covariance matrix. The image shows Figure 23 in the PRD paper, and the points with error bars indicate the cross section in the table.
Energy bin range ($\sqrt{s'}$), number of events after unfolding ($N_{\mathrm{unf}}$), corrected efficiency ($\varepsilon$), and cross section ($\sigma_{3\pi}$) for $e^{+}e^{-} \to \pi^{+} \pi^{-} \pi^{0}$ in energy range 1.05--3.50~GeV. The two uncertainties in the cross section are the statistical and systematic contributions. The statistical uncertainties for the unfolding and cross section are square roots of the diagonal components of the unfolding covariance matrix. The image shows Figure 23 in the PRD paper, and the points with error bars indicate the cross section in the table.
The statistic covariance matrix for the $e^+e^- \to \pi^+ \pi^- \pi^0$ cross section measurement at the Belle II. The 212 x 212 matrix of the energy ranges from 0.62 to 3.50 GeV. This covariance matrix, obtained by propagating the covariance matrix in the unfolding procedure, shows the total statistical uncertainties for the cross section results.
This paper presents a measurement of the production cross-section of a $Z$ boson in association with $b$- or $c$-jets, in proton-proton collisions at $\sqrt{s} = 13$ TeV with the ATLAS experiment at the Large Hadron Collider using data corresponding to an integrated luminosity of 140 fb$^{-1}$. Inclusive and differential cross-sections are measured for events containing a $Z$ boson decaying into electrons or muons and produced in association with at least one $b$-jet, at least one $c$-jet, or at least two $b$-jets with transverse momentum $p_\textrm{T} > 20$ GeV and rapidity $|y| < 2.5$. Predictions from several Monte Carlo generators based on next-to-leading-order matrix elements interfaced with a parton-shower simulation, with different choices of flavour schemes for initial-state partons, are compared with the measured cross-sections. The results are also compared with novel predictions, based on infrared and collinear safe jet flavour dressing algorithms. Selected $Z + \ge 1 c$-jet observables, optimized for sensitivity to intrinsic-charm, are compared with benchmark models with different intrinsic-charm fractions.
Figure 6(left) of the article. Measured fiducial cross sections for events with $Z (\rightarrow ll) \ge 1 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.
Figure 6(right) of the article. Measured fiducial cross sections for events with $Z (\rightarrow ll) \ge 2 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.
Figure 7 of the article. Measured fiducial cross sections for events with $Z (\rightarrow ll) \ge 1 $ c-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.
The J/$\psi$$\to$$\mu^+\mu^-\mu^+\mu^-$ decay has been observed with a statistical significance in excess of five standard deviations. The analysis is based on an event sample of proton-proton collisions at a center-of-mass energy of 13 TeV, collected by the CMS experiment in 2018 and corresponding to an integrated luminosity of 33.6 fb$^{-1}$. Normalizing to the J/$\psi$$\to$$\mu^+\mu^-$ decay mode leads to a branching fraction [10.1 $^{+3.3}_{-2.7}$ (stat) $\pm$ 0.4 (syst)] $\times$ 10$^{-7}$, a value that is consistent with the standard model prediction.
$\mathrm{J}\mspace{-2mu}/\mspace{-2mu}\psi \to \mu\mu\mu\mu$ branching fraction
$\mathcal{B}(\mathrm{J}\mspace{-2mu}/\mspace{-2mu}\psi \to \mu\mu\mu\mu)$ / $\mathcal{B}(\mathrm{J}\mspace{-2mu}/\mspace{-2mu}\psi \to \mu\mu)$ ratio
The production of single top quarks and top antiquarks via the $t$-channel exchange of a virtual $W$ boson is measured in proton-proton collisions at a centre-of-mass energy of 13 TeV at the LHC using $140\,\mathrm{fb^{-1}}$ of ATLAS data. The total cross-sections are determined to be $\sigma(tq)=137^{+8}_{-8}\,\mathrm{pb}$ and $\sigma(\bar{t}q)=84^{+6}_{-5}\,\mathrm{pb}$ for top-quark and top-antiquark production, respectively. The combined cross-section is found to be $\sigma(tq+\bar{t}q)=221^{+13}_{-13}\,\mathrm{pb}$ and the cross-section ratio is $R_{t}=\sigma(tq)/\sigma(\bar{t}q)=1.636^{+0.036}_{-0.034}$. The predictions at next-to-next-to-leading-order in quantum chromodynamics are in good agreement with these measurements. The predicted value of $R_{t}$ using different sets of parton distribution functions is compared with the measured value, demonstrating the potential to further constrain the functions when using this result in global fits. The measured cross-sections are interpreted in an effective field theory approach, setting limits at the 95% confidence level on the strength of a four-quark operator and an operator coupling the third quark generation to the Higgs boson doublet: $-0.37 < C_{Qq}^{3,1}/\Lambda^2 < 0.06$ and $-0.87 < C_{\phi Q}^{3}/\Lambda^2 < 1.42$. The constraint $|V_{tb}|>0.95$ at the 95% confidence level is derived from the measured value of $\sigma(tq+\bar{t}q)$. In a more general approach, pairs of CKM matrix elements involving top quarks are simultaneously constrained, leading to confidence contours in the corresponding two-dimensional parameter spaces.
The 17 variables used for the training of the NN ordered by their discriminating power. The jet that is not \(b\)-tagged is referred to as the untagged jet. The charged lepton is denoted \(\ell\). The sphericity tensor \(S^{\alpha\beta}\) used to define the sphericity \(S\) is formed with the three-momenta \(\vec{p}_i\) of the reconstructed objects, namely the jets, the charged lepton and the reconstructed neutrino. The tensor is given by \(S^{\alpha\beta}=\frac{\sum_i p_i^\alpha p_i^\beta}{\sum_i |\vec{p}_i|^2}\) where \(\alpha\) and \(\beta\) correspond to the spatial components $x$, $y$ and $z$.
The impact of different groups of systematic uncertainties on the \(\sigma(tq)\) , \(\sigma(\bar t q)\), \(\sigma(tq + \bar t q)\) and \(R_t\), given in %.
The impact of the eight most important systematic uncertainties on the \(\sigma(tq)\) , \(\sigma(\bar t q)\) and \(\sigma(tq + \bar t q)\), given in %. The sequence of the uncertainties is given by the impact on \(\sigma(tq + \bar t q)\)
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