Fiducial differential cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $N_{\mathrm{gap}\,\mathrm{jets}}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 14.

Fiducial differential cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $\xi_{\mathrm{j}3}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 15.

Fiducial differential cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\ell\ell}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 16.

Fiducial differential cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{T}}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 17.

Fiducial differential cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{jj}}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 18.

Fiducial differential cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $N_{\mathrm{gap}\,\mathrm{jets}}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 19.

Fiducial differential cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $\xi_{\mathrm{j}3}$. The correlation of uncertainties of the measured cross section across bins is presented in Table 20.

Observed correlations between the bins of the LH-unfolded cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $m_{\ell\ell}$. See Table 1.

Observed correlations between the bins of the LH-unfolded cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{T}}$. See Table 2.

Observed correlations between the bins of the LH-unfolded cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{jj}}$. See Table 3.

Observed correlations between the bins of the LH-unfolded cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $N_{\mathrm{gap}\,\mathrm{jets}}$. See Table 4.

Observed correlations between the bins of the LH-unfolded cross section of the electroweak $W^\pm W^\pm jj$ production as a function of $\xi_{\mathrm{j}3}$. See Table 5.

Observed correlations between the bins of the LH-unfolded cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\ell\ell}$. See Table 6.

Observed correlations between the bins of the LH-unfolded cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{T}}$. See Table 7.

Observed correlations between the bins of the LH-unfolded cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $m_{\mathrm{jj}}$. See Table 8.

Observed correlations between the bins of the LH-unfolded cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $N_{\mathrm{gap}\,\mathrm{jets}}$. See Table 9.

Observed correlations between the bins of the LH-unfolded cross section of the inclusive $W^\pm W^\pm jj$ production as a function of $\xi_{\mathrm{j}3}$. See Table 10.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label M0 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label M1 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label M7 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient. The limits on M7 were obtained without taking into account the SM-EFT interference for the EW W$^\pm$Zjj final state.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label S02 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label S1 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label T0 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label T1 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Evolution of the one-dimensional expected and observed limits at 95% CL on the parameters corresponding to the quartic operators with label T2 as a function of the cut-off scale. The unitarity bounds as a function of the cut-off scale are defined for one non-zero Wilson coefficient.

Expected and observed exclusion limits at 95% CL for $\sigma_{\mathrm{VBF}}(\mathrm{H}^{\pm\pm}_5) \times \mathcal{B}(\mathrm{H}^{\pm\pm}_5 \rightarrow W^{\pm}W^{\pm})$ as a function of the doubly-charged Higgs mass.

Expected and observed exclusion limits at 95% CL for $\sin\theta_{\mathrm{H}}$ as a function of the doubly-charged Higgs mass in the Georgi-Machacek model.

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>

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.

$R_\mathrm{T}$ distribution using events with trigger particles $5<p_\mathrm{T}^\mathrm{trig}<40~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ in pp collisions at $\sqrt{s}=13~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region for different $R_\mathrm{T}$ intervals using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

Average $p_\mathrm{T}$ as a function of $R_\mathrm{T}$ in the transverse region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for pp collisions at $\sqrt{s}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for p-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the toward region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

$p_\mathrm{T}$-integrated yield normalised to $<N_\mathrm{ch}^\mathrm{T}>$ as a function of $R_\mathrm{T}$ in the away region using events with trigger particles $8<p_\mathrm{T}^\mathrm{trig}<15~\mathrm{GeV}/c$ in the pseudorapidity range of $|\eta|<0.8$ and with $p_\mathrm{T}>0.5~\mathrm{GeV}/c$ for Pb-Pb collisions at $\sqrt{s_\mathrm{NN}}=5.02~\mathrm{TeV}$

CF vs qinv

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Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

Rinv vs mT

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lambda vs mT

lambda vs mT

lambda vs mT

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lambda vs mT

Summary of results for cross-section of non-prompt $\psi(2S)$ decaying to a muon pair for 13 TeV data in fb/GeV. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt fraction of $J/\psi$ decaying to a muon pair as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt fraction of $\psi(2S)$ decaying to a muon pair as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for prompt $\psi(2S)$ over $J/\psi$ ratio as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt $\psi(2S)$ over $J/\psi$ ratio as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Correction factors for an assumed angular dependence $\propto 1+\lambda_{\theta} \cos^2\theta $ in the helicity frame, for several values of the parameter $\lambda_{\theta}$. The correction factors were found to be the same (within 1% - 2%) for $J\psi$ and $\psi(2S)$ mesons, for prompt and non-prompt production mechanisms, and for the three rapidity intervals considered in this paper.