Distribution of $m_{\mathrm{JJ}}$ in the SR (black points) compared to the background-only expectation, where the shape is derived from the CR and the normalisation is fitted in the SR.

Observed and expected limits at 95% CL on the cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model A (see the text for details). The darker and lighter shaded bands around the expected limits represent the $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty range, respectively.

The predicted theory cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model A (see the text for details). In the theory model, a universal coupling of the $Z^\prime$ to each SM quark $g_q$ is assumed and the dark quarks are all represented by one species with an effective coupling $g_{q_d}$ to the $Z^\prime$. For model A, the predicted cross-section is shown for $g_q=0.05$ and $g_{q_d} = 0.2$.

Observed and expected limits at 95% CL on the cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model B (see the text for details). The darker and lighter shaded bands around the expected limits represent the $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty range, respectively.

The predicted theory cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model B (see the text for details). In the theory model, a universal coupling of the $Z^\prime$ to each SM quark $g_q$ is assumed and the dark quarks are all represented by one species with an effective coupling $g_{q_d}$ to the $Z^\prime$. For model B, the predicted cross-section is shown for $g_q=0.15$ and $g_{q_d} = 0.5$.

Observed and expected limits at 95% CL on the cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model C (see the text for details). The darker and lighter shaded bands around the expected limits represent the $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty range, respectively.

The predicted theory cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model C (see the text for details). In the theory model, a universal coupling of the $Z^\prime$ to each SM quark $g_q$ is assumed and the dark quarks are all represented by one species with an effective coupling $g_{q_d}$ to the $Z^\prime$. For model C, the predicted cross-section is shown for $g_q=0.15$ and $g_{q_d}= 0.5$.

Observed and expected limits at 95% CL on the cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model D (see the text for details). The darker and lighter shaded bands around the expected limits represent the $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty range, respectively.

The predicted theory cross-section times branching ratio for the production of dark quarks through a $Z^\prime$ as a function of the $Z^\prime$ mass for model D (see the text for details). In the theory model, a universal coupling of the $Z^\prime$ to each SM quark $g_q$ is assumed and the dark quarks are all represented by one species with an effective coupling $g_{q_d}$ to the $Z^\prime$. For model D, the predicted cross-section is shown for $g_q=0.05$ and $g_{q_d} = 0.2$.

Relative efficiency (in %) of each stage of the analysis selection with respect to the previous one for models A through D and $m_{Z^\prime}=2.5$ TeV. Approximately 90000 events were generated per signal mass hypothesis.

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=300 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The m(tt) distribution in the Lhi3_Zin region of the lltt channel. <br><br><a href="?table=overview">return to overview</a>

The m(bb) distribution in the 2 b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The m(bb) distribution in the 3+ b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->tt) in the (mA,mH) plane. The limits are shown for tanbeta=1. The tanbeta value is relevant only for the choice of the A boson width. <br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->tt)$ in the (mA,mH) plane. The limits are shown for tanbeta=10. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=1. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=10. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->tt) in he (mA,mH) plane. The limits are shown for tanbeta=0.5. The tanbeta value is relevant only for the choice of the A boson width. <br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->tt) in the (mA,mH) plane. The limits are shown for tanbeta=5. The tanbeta value is relevant only for the choice of the A boson width. <br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->tt) in the (mA,mH) plane. The limits are shown for tanbeta=1. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->tt)$ in the (mA,mH) plane. The limits are shown for tanbeta=5. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=0.5. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(gg->A)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=5. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=1. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=5. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

Expected and observed upper limits at 95% CL on sigma(bbA)*B(A->ZH)*B(H->bb) in the (mA,mH) plane. The limits are shown for tanbeta=20. The tanbeta value is relevant only for the choice of the A boson width. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=450 GeV hypothesis with the bbA signal shown for comparison. <br><br><a href="?table=overview">return to overview</a>

The m(tt) distribution in the L3hi_Zin region of the lltt channel for the mH=450 GeV hypothesis with the bbA signal shown for comparison. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=350 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=400 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=500 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=550 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=600 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=700 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant m(lltt)-m(tt) in the signal region of the lltt channel for the mH=800 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=130 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=150 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=200 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=250 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=350 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=400 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=450 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=500 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=600 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=700 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag signal region of the vvbb channel for the mH=800 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH i+ the 3p b-tag signal region of the vvbb channel for the mH=130 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=150 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=200 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=250 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=350 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=400 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=450 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=500 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=600 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=700 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag signal region of the vvbb channel for the mH=800 GeV hypothesis. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag 2L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 2 b-tag em region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag 2L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The distribution of the fit discriminant mTVH in the 3+ b-tag em region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

Local significance for lltt ggF signals for tanbeta=1. <br><br><a href="?table=overview">return to overview</a>

Local significance for lltt bbA signals for tanbeta=20. <br><br><a href="?table=overview">return to overview</a>

Local significance for vvbb ggF signals for tanbeta=1. <br><br><a href="?table=overview">return to overview</a>

Local significance for vvbb bbA signals for tanbeta=20. <br><br><a href="?table=overview">return to overview</a>

Signal acceptance times efficiency for lltt ggF signals. <br><br><a href="?table=overview">return to overview</a>

Signal acceptance times efficiency for lltt bbA signals. <br><br><a href="?table=overview">return to overview</a>

Signal acceptance times efficiency for vvbb ggF signals. <br><br><a href="?table=overview">return to overview</a>

Signal acceptance times efficiency for vvbb bbA signals. <br><br><a href="?table=overview">return to overview</a>

The pT distribution of the third lepton in the L3hi_Zin region of the lltt channel. <br><br><a href="?table=overview">return to overview</a>

The eta distribution of the H boson candidate in the rest frame of the A boson candidate in the L3hi_Zin region of the lltt channel. <br><br><a href="?table=overview">return to overview</a>

The ETmiss distribution in the 2 b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The m_top_near distribution in the 2 b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The ETmiss distribution in the 3+ b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

The m_top_near distribution in the 3+ b-tag 0L region of the vvbb channel. <br><br><a href="?table=overview">return to overview</a>

Net-proton cumulant ratios, (a) $C_{2}/C_{1}$, (b) $C_{3}/C_{2}$, (c) $C_{4}/C_{2}$, (d) $C_{5}/C_{1}$, and (e) $C_{6}/C_{2}$ as a function of charged-particle multiplicity from $\sqrt{s}=200$ GeV $p$+$p$ collisions. Black solid lines and red bands represent the statistical and systematic uncertainties, respectively. Cyan points represent event averages for $3 < m_{\rm ch}^{\rm TPC} < 30$, and they are plotted at the corresponding value of $m_{\rm ch}^{\rm TPC}$. The uncertainties on the cyan points are smaller than the marker size. The Skellam baselines are shown as dotted lines. The results of the PYTHIA8 calculations are shown by hatched-golden bands. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ are the results from the PYTHIA8 calculations averaged over multiplicities.

Rapidity-acceptance dependence of the net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ shown as a function of the charged-particle multiplicity, $m_{\rm ch}^{\rm TPC}$, from $\sqrt{s}=200$ GeV $p$+$p$ collisions. Solid squares, triangles, and circles represent the results with $|y|<0.1$, $0.3$, and $0.5$, respectively. Black solid lines and colored bands show the statistical and systematic uncertainties.The data points and their uncertainties for $|y|<0.1$ and $0.3$ are slightly shifted for clarity. The Skellam baselines are shown by dotted lines.

Net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ as a function of charged-particle multiplicity for $p$+$p$ collisions and Au+Au collisions at 200 GeV for $|y|<0.5$ and $0.4<p_{\rm T}<2.0$ GeV/$c$. Cyan markers represent event averages for $3<m_{\rm ch}^{\rm TPC}<30$ from the $p$+$p$ collisions. Results from Au+Au collisions are shown as triangles for the 0-40%, 40-50%, 50-60%, 60-70%, and 70-80% centrality bins. Red and grey bands show the systematic uncertainties for $p$+$p$ collisions and Au+Au collisions, respectively. The $m_{\rm ch}^{\rm TPC}$ values are not corrected for the reconstruction efficiency of the TPC. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ represent the results from PYTHIA8 calculations averaged over multiplicity. The Skellam baselines are shown in dotted lines. The purple bands show corresponding susceptibility ratios of baryon number from lattice QCD calculations, where the multiplicity range is chosen arbitrary.

Net-proton cumulant ratios, (a) $C_{4}/C_{2}$, (b) $C_{5}/C_{1}$, and (c) $C_{6}/C_{2}$ as a function of charged-particle multiplicity for $p$+$p$ collisions and Au+Au collisions at 200 GeV for $|y|<0.5$ and $0.4<p_{\rm T}<2.0$ GeV/$c$. Cyan markers represent event averages for $3<m_{\rm ch}^{\rm TPC}<30$ from the $p$+$p$ collisions. Results from Au+Au collisions are shown as triangles for the 0-40%, 40-50%, 50-60%, 60-70%, and 70-80% centrality bins. Red and grey bands show the systematic uncertainties for $p$+$p$ collisions and Au+Au collisions, respectively. The $m_{\rm ch}^{\rm TPC}$ values are not corrected for the reconstruction efficiency of the TPC. The golden bands at $m_{\rm ch}^{\rm TPC}\approx 6$ represent the results from PYTHIA8 calculations averaged over multiplicity. The Skellam baselines are shown in dotted lines. The purple bands show corresponding susceptibility ratios of baryon number from lattice QCD calculations, where the multiplicity range is chosen arbitrary.

Data of the decay $\bar{B}^+ \to D^* \mu \nu_\mu$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B0 -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 48 - 95: B0 -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 96 - 143: B+ -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 144 - 191: B+ -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ...

Data of the B+/B0 average $B \to D^* e \nu_e$.

Data of the B+/B0 average $B \to D^* \mu \nu_\mu$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 48 - 95: B -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], .....

Data of the B+/B0 and e/mu average $B \to D^* \ell \nu_\ell$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B -> D* l nu_l: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ...

Post-fit distributions of $M_{\ell v jj}$ in the $R2B_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RW'_A$ subregion for muons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RW'_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RT_A$ subregion for muons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RT_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed 95% CL upper limit on the production cross section for a left-handed W' boson in the tb final state, as functions of $m_{W'}$ and relative width $\Gamma/m_{W'}$. Numbers in red, written diagonally, represent values of the excluded cross sections that are lower than the theoretical ones for the analyzed model.

Observed 95% CL upper limit on the production cross section for a right-handed W' boson in the tb final state, as functions of $m_{W'}$ and relative width $\Gamma/m_{W'}$. Numbers in red, written diagonally, represent values of the excluded cross sections that are lower than the theoretical ones for the analyzed model.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 2 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 2.8 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 3.6 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 4.4 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 5.2 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 6 TeV.

Expected 95% CL lower limit on $m_{W'}$ for a generalized left-right coupling of the W' boson to a t and a b quark.

Observed 95% CL lower limit on $m_{W'}$ for a generalized left-right coupling of the W' boson to a t and a b quark.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Invariant mass distributions of $^3\hbox{He}+\pi^-$ (A), $^3\overline{\hbox{He}}+\pi^+$ (B), $^4\hbox{He}+\pi^-$ (C) and $^4\overline{\hbox{He}}+\pi^+$ (D). The solid bands mark the signal invariant mass regions. The obtained signal count ($N_{\rm Sig}$), background count ($N_{\rm Bg}$), and signal significance are listed in each panel.

(A) (anti)hypernuclei yields versus $L/\beta\gamma$. The vertical error bars represent the statistical error only.

(A) (anti)hypernuclei yields versus $L/\beta\gamma$. The vertical error bars represent the statistical error only.

Our measured (anti)hypernuclei lifetimes compared with world data and theoretical predictions (solid triangles). Error bars and boxes represent statistical and systematic uncertainties, respectively. Vertical solid lines with shaded regions show the average lifetime of (anti)hypernuclei and their corresponding uncertainties. The vertical gray line shows the lifetime of the free $\Lambda$.

Production yield ratios of various particles with the same baryon number. Results combining all collision systems in this work are shown by filled stars. Open stars show results with only U+U and Au+Au collisions, while quadrangular stars show results with only Zr+Zr and Ru+Ru collisions. Statistical uncertainties and systematic uncertainties are shown by vertical bars and boxes, respectively. Previous measurement results and thermal model predictions are also shown for comparison. Ratio Typle Index, 0:$\frac{{}^{3}\bar{He}}{{}^{3}He}$ 1:$\frac{{}^{3}\bar{He}}{{}^{3}He}\times\frac{\bar{p}}{p}$ 2:$\frac{{}^{4}\bar{He}}{{}^{4}He}$ 3:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}$ 4:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}\times\frac{\bar{p}}{p}$ 5:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{{}^{4}_{\Lambda}H}$ 6:$\frac{{}^{3}_{\Lambda}H}{{}^{3}He}$ 7:$\frac{{}^{4}_{\Lambda}H}{{}^{4}He}$ 8:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{^{3}\bar{He}}$ 9:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{^{4}\bar{He}}$

Production yield ratios of various particles with the same baryon number. Results combining all collision systems in this work are shown by filled stars. Open stars show results with only U+U and Au+Au collisions, while quadrangular stars show results with only Zr+Zr and Ru+Ru collisions. Statistical uncertainties and systematic uncertainties are shown by vertical bars and boxes, respectively. Previous measurement results and thermal model predictions are also shown for comparison. Ratio Typle Index, 0:$\frac{{}^{3}\bar{He}}{{}^{3}He}$ 1:$\frac{{}^{3}\bar{He}}{{}^{3}He}\times\frac{\bar{p}}{p}$ 2:$\frac{{}^{4}\bar{He}}{{}^{4}He}$ 3:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}$ 4:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}\times\frac{\bar{p}}{p}$ 5:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{{}^{4}_{\Lambda}H}$ 6:$\frac{{}^{3}_{\Lambda}H}{{}^{3}He}$ 7:$\frac{{}^{4}_{\Lambda}H}{{}^{4}He}$ 8:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{^{3}\bar{He}}$ 9:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{^{4}\bar{He}}$

Production yield ratios of various particles with the same baryon number. Results combining all collision systems in this work are shown by filled stars. Open stars show results with only U+U and Au+Au collisions, while quadrangular stars show results with only Zr+Zr and Ru+Ru collisions. Statistical uncertainties and systematic uncertainties are shown by vertical bars and boxes, respectively. Previous measurement results and thermal model predictions are also shown for comparison. Ratio Typle Index, 0:$\frac{{}^{3}\bar{He}}{{}^{3}He}$ 1:$\frac{{}^{3}\bar{He}}{{}^{3}He}\times\frac{\bar{p}}{p}$ 2:$\frac{{}^{4}\bar{He}}{{}^{4}He}$ 3:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}$ 4:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}\times\frac{\bar{p}}{p}$ 5:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{{}^{4}_{\Lambda}H}$ 6:$\frac{{}^{3}_{\Lambda}H}{{}^{3}He}$ 7:$\frac{{}^{4}_{\Lambda}H}{{}^{4}He}$ 8:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{^{3}\bar{He}}$ 9:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{^{4}\bar{He}}$

Production yield ratios of various particles with the same baryon number. Results combining all collision systems in this work are shown by filled stars. Open stars show results with only U+U and Au+Au collisions, while quadrangular stars show results with only Zr+Zr and Ru+Ru collisions. Statistical uncertainties and systematic uncertainties are shown by vertical bars and boxes, respectively. Previous measurement results and thermal model predictions are also shown for comparison. Ratio Typle Index, 0:$\frac{{}^{3}\bar{He}}{{}^{3}He}$ 1:$\frac{{}^{3}\bar{He}}{{}^{3}He}\times\frac{\bar{p}}{p}$ 2:$\frac{{}^{4}\bar{He}}{{}^{4}He}$ 3:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}$ 4:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{{}^{3}_{\Lambda}H}\times\frac{\bar{p}}{p}$ 5:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{{}^{4}_{\Lambda}H}$ 6:$\frac{{}^{3}_{\Lambda}H}{{}^{3}He}$ 7:$\frac{{}^{4}_{\Lambda}H}{{}^{4}He}$ 8:$\frac{{}^{3}_{\bar{\Lambda}}\bar{H}}{^{3}\bar{He}}$ 9:$\frac{{}^{4}_{\bar{\Lambda}}\bar{H}}{^{4}\bar{He}}$

Reconstruction efficiency as a function of $L/(\beta\gamma)$ obtained from the embedding Monte Carlo technique. Hypernuclei have stricter topological cuts than antihypernuclei to suppress knock-out $^3\hbox{He}$ and $^4\hbox{He}$, resulting in lower efficiencies.

Reconstruction efficiency as a function of $L/(\beta\gamma)$ obtained from the embedding Monte Carlo technique. Hypernuclei have stricter topological cuts than antihypernuclei to suppress knock-out $^3\hbox{He}$ and $^4\hbox{He}$, resulting in lower efficiencies.

H3L, antiH3L, H4L and antiH4L candidate invariant-mass distributions in different $L/\beta\gamma$ intervals.

H3L, antiH3L, H4L and antiH4L candidate invariant-mass distributions in different $L/\beta\gamma$ intervals.

H3L, antiH3L, H4L and antiH4L candidate invariant-mass distributions in different $L/\beta\gamma$ intervals.

H3L, antiH3L, H4L and antiH4L candidate invariant-mass distributions in different $L/\beta\gamma$ intervals.

$dN/d(L/\beta\gamma)$ as a function of $L/\beta\gamma$ for $\Lambda$ and $\bar{\Lambda}$, and exponential fits to obtain their lifetimes.

Efficiency corrected $p_{T}$ spectra for $^3\hbox{He}$, $^3\overline{\hbox{He}}$, \htl, and \ahtl. The spectra are in the phase space of $|y|<0.7$ with only MB-triggered events. The spectra are not normalized by the number of events. The lines represent the BW-function fits.

Efficiency corrected $p_{T}$ spectra for $^3\hbox{He}$, $^3\overline{\hbox{He}}$, \htl, and \ahtl. The spectra are in the phase space of $|y|<0.7$ with only MB-triggered events. The spectra are not normalized by the number of events. The lines represent the BW-function fits.

Figure 1b, lower panel, subevent

Figure 2a, full-event

Figure 2b, subevent

Figure 3b

Figure 3c

Figure 3e

Figure 3f

Figure 4a

Figure 4b

Figure 5a, full-event

Figure 5b, subevent

Figure 5c, full-event

Figure 5d, subevent

Figure 6a

Figure 6b

Figure 7a, full-event

Figure 7b, subevent

Figure 7c, full-event

Figure 7d, subevent

Figure 8a, full-event

Figure 8b, subevent

Figure 9a, full-event

Figure 9b, subevent

Figure 10a, full-event

Figure 10b, subevent

Figure 11a, full-event

Figure 11b, full-event

Figure 11c, full-event

Figure 11d, subevent

Figure 11e, subevent

Figure 11f, subevent

Figure 12a, full-event

Figure 12b, subevent

Figure 13

Figure 14a

Figure 14b

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$, when all other coupling modifiers are fixed to their SM predictions.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter space, when all other coupling modifiers are fixed to their SM predictions. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter space, when all other coupling modifiers are fixed to their SM predictions.In the plot, the SM prediction is indicated by the star.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{gghh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{gghh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{tthh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood exptected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $c_{tthh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

The observed (filled circles) and expected (hollow circles) 95% CL upper limits on the $HH$ ggF production cross-section in the Standard Model and for seven HEFT benchmark points. The teal and yellow colored bands indicate the $\pm 1\sigma$ and $\pm 2\sigma$ variations on the expected limit due to statistical and systematic uncertainties. The predicted cross-sections of each of the models under consideration are shown by the red crosses. The contribution from VBF production to the total $HH$ production cross-section is neglected.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

The acceptance times efficiency for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category. The other coupling modifiers affecting ggF $HH$ production are fixed to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category. When varying $\kappa_{\lambda}$, the other coupling modifiers affecting the VBF $HH$ production mode are set to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each analysis category. When varying $\kappa_{2V}$, the other coupling modifiers affecting the VBF $HH$ production mode are set to their SM predictions. The bands indicate the simulation statistical uncertainty.

Expected yields of the signal $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ after applying the analysis preselection and in each analysis category after the final selection. The $HH$ yield is obtained considering both the $ggF$ and $VBF$ contributions. The other coupling modifiers affecting $HH$ production are fixed to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 1 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 2 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 3 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 4 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 1 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 2 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 3 region.

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Summary of the expected (blue) and observed (orange) one-dimensional constraints at 68% (solid error bars) and 95% (dashed error bars) CL on the coefficients of selected HEFT (top) and SMEFT (bottom) operators describing Higgs boson interactions affecting $HH$ production through gluon--gluon fusion. The results are obtained from one dimensional scans of the profile log-likelihood assuming that all other Wilson coefficients are fixed to their SM values. The contribution from VBF $HH$ production is neglected.