In this letter, measurements of the shared momentum fraction ($z_{\rm{g}}$) and the groomed jet radius ($R_{\rm{g}}$), as defined in the SoftDrop algorihm, are reported in \pp collisions at $\sqrt{s} = 200$ GeV collected by the STAR experiment. These substructure observables are differentially measured for jets of varying resolution parameters from $R = 0.2 - 0.6$ in the transverse momentum range $15 < p_{\rm{T, jet}} < 60$ GeV$/c$. These studies show that, in the $p_{\rm{T, jet}}$ range accessible at $\sqrt{s} = 200$ GeV and with increasing jet resolution parameter and jet transverse momentum, the $z_{\rm{g}}$ distribution asymptotically converges to the DGLAP splitting kernel for a quark radiating a gluon. The groomed jet radius measurements reflect a momentum-dependent narrowing of the jet structure for jets of a given resolution parameter, i.e., the larger the $p_{\rm{T, jet}}$, the narrower the first splitting. For the first time, these fully corrected measurements are compared to Monte Carlo generators with leading order QCD matrix elements and leading log in the parton shower, and to state-of-the-art theoretical calculations at next-to-leading-log accuracy. We observe that PYTHIA 6 with parameters tuned to reproduce RHIC measurements is able to quantitatively describe data, whereas PYTHIA 8 and HERWIG 7, tuned to reproduce LHC data, are unable to provide a simultaneous description of both $z_{\rm{g}}$ and $R_{\rm{g}}$, resulting in opportunities for fine parameter tuning of these models for \pp collisions at RHIC energies. We also find that the theoretical calculations without non-perturbative corrections are able to qualitatively describe the trend in data for jets of large resolution parameters at high $p_{\rm{T, jet}}$, but fail at small jet resolution parameters and low jet transverse momenta.
The data points and the error bars represent the mean $p_{\rm{T, jet}}^{\rm{det}}$ and the width (RMS) for a given $p_{\rm{T, jet}}^{\rm{part}}$ selection $R = 0.4$.
Uncorrected $z_{g}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R=0.4 anti-kT jets
Uncorrected $R_{g}$ for $20 < p_{\rm{T, jet}} < 25$ GeV/c, R=0.4 anti-kT jets
Measurements of $ZZ$ production in the $\ell^{+}\ell^{-}\ell^{\prime +}\ell^{\prime -}$ channel in proton-proton collisions at 13 TeV center-of-mass energy at the Large Hadron Collider are presented. The data correspond to 36.1 $\mathrm{fb}^{-1}$ of collisions collected by the ATLAS experiment in 2015 and 2016. Here $\ell$ and $\ell'$ stand for electrons or muons. Integrated and differential $ZZ \to \ell^{+}\ell^{-}\ell^{\prime +}\ell^{\prime -}$ cross sections with $Z \to \ell^+\ell^-$ candidate masses in the range of 66 GeV to 116 GeV are measured in a fiducial phase space corresponding to the detector acceptance and corrected for detector effects. The differential cross sections are presented in bins of twenty observables, including several that describe the jet activity. The integrated cross section is also extrapolated to a total phase space and to all Standard-Model decays of $Z$ bosons with mass between 66 GeV and 116 GeV, resulting in a value of $17.3 \pm 0.9$ [$\pm 0.6$ (stat.) $\pm 0.5$ (syst.) $\pm 0.6$ (lumi.)] pb. The measurements are found to be in good agreement with the Standard-Model predictions. A search for neutral triple gauge couplings is performed using the transverse momentum distribution of the leading $Z$-boson candidate. No evidence for such couplings is found and exclusion limits are set on their parameters.
Integrated fiducial cross sections. Fiducial phase space - At least 4 electrons, 4 muons, or 2 electrons and 2 muons forming two same-flavour opposite-charge dileptons (Z candidates) - Lepton pairing ambiguities are resolved by choosing the combination that results in the smaller value of the sum of |mll - mZ| for the two pairs, where mll is the mass of the dilepton system and mZ the Z boson pole mass - Lepton absolute pseudorapidity |eta| < 2.7 - Lepton transverse momentum pT > 5 GeV - The three leading-pT leptons satisfy pT > 20 GeV, 15 GeV, 10 GeV - Angular separation of any same-flavour (opposite-flavour) leptons DeltaR > 0.1 (0.2) - Both chosen dileptons have invariant mass between 66 GeV and 116 GeV - All possible same-flavour opposite-charge dileptons have mass > 5 GeV Details about the fiducial definition as well as all other aspects of the analysis can be found in the journal publication.
Differential fiducial cross section as function of the transverse momentum of the four-lepton system. Fiducial phase space - At least 4 electrons, 4 muons, or 2 electrons and 2 muons forming two same-flavour opposite-charge dileptons (Z candidates) - Lepton pairing ambiguities are resolved by choosing the combination that results in the smaller value of the sum of |mll - mZ| for the two pairs, where mll is the mass of the dilepton system and mZ the Z boson pole mass - Lepton absolute pseudorapidity |eta| < 2.7 - Lepton transverse momentum pT > 5 GeV - The three leading-pT leptons satisfy pT > 20 GeV, 15 GeV, 10 GeV - Angular separation of any same-flavour (opposite-flavour) leptons DeltaR > 0.1 (0.2) - Both chosen dileptons have invariant mass between 66 GeV and 116 GeV - All possible same-flavour opposite-charge dileptons have mass > 5 GeV Details about the fiducial definition as well as all other aspects of the analysis can be found in the journal publication.
Predicted background as function of the transverse momentum of the four-lepton system.
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