Abstract (data abstract)

A search for nonresonant Higgs boson pair production in the $b\bar{b}\gamma\gamma$ final state is performed using 140 fb$^{-1}$ of proton--proton collisions at a centre-of-mass energy of 13 TeV recorded by the ATLAS detector at the CERN Large Hadron Collider. This analysis supersedes and expands upon the previous nonresonant ATLAS results in this final state based on the same data sample. The analysis strategy is optimised to probe anomalous values not only of the Higgs ($H$) boson self-coupling modifier $\kappa_\lambda$ but also of the quartic $HHVV$ ($V=W,Z$) coupling modifier $\kappa_{2V}$. No significant excess above the expected background from Standard Model processes is observed. An observed upper limit $\mu_{HH}<4.0$ is set at 95% confidence level on the Higgs boson pair production cross-section normalised to its Standard Model prediction. The 95% confidence intervals for the coupling modifiers are $-1.4<\kappa_\lambda<6.9$ and $-0.5<\kappa_{2V}<2.7$, assuming all other Higgs boson couplings except the one under study are fixed to the Standard Model predictions. The results are interpreted in the Standard Model effective field theory and Higgs effective field theory frameworks in terms of constraints on the couplings of anomalous Higgs boson (self-)interactions

Table 1 ($\kappa_{\lambda}$ obs)

Data from Figure 5(a)

10.17182/hepdata.144918.v1/t1

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$, when all other coupling modifiers are fixed to their...
Table 2 ($\kappa_{\lambda}$ exp)

Data from Figure 5(a)

10.17182/hepdata.144918.v1/t2

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$, when all other coupling modifiers are fixed to their...
Table 3 ($\kappa_{2V}$ obs)

Data from Figure 5(b)

10.17182/hepdata.144918.v1/t3

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$, when all other coupling modifiers are fixed to their...
Table 4 ($\kappa_{2V}$ exp)

Data from Figure 5(b)

10.17182/hepdata.144918.v1/t4

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$, when all other coupling modifiers are fixed to their...
Table 5 ($\kappa_{\lambda}$ vs $\kappa_{2V}$ obs)

Data from Figure 6

10.17182/hepdata.144918.v1/t5

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter space, when...
Table 6 ($\kappa_{\lambda}$ vs $\kappa_{2V}$ exp)

Data from Figure 6

10.17182/hepdata.144918.v1/t6

Likelihood expected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter...
Table 7 ($c_{gghh}$ vs $c_{hhh}$ obs)

Data from Figure 7(a)

10.17182/hepdata.144918.v1/t7

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{gghh}$ versus $c_{hhh}$ HEFT parameter...
Table 8 ($c_{gghh}$ vs $c_{hhh}$ exp)

Data from Figure 7(a)

10.17182/hepdata.144918.v1/t8

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{gghh}$ versus $c_{hhh}$ HEFT...
Table 9 ($c_{tthh}$ vs $c_{hhh}$ obs)

Data from Figure 7(b)

10.17182/hepdata.144918.v1/t9

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{tthh}$ versus $c_{hhh}$ HEFT parameter...
Table 10 ($c_{tthh}$ vs $c_{hhh}$ exp)

Data from Figure 7(b)

10.17182/hepdata.144918.v1/t10

Likelihood exptected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $c_{tthh}$ versus $c_{hhh}$...
Table 11 (95% CL upper limits on the HH ggF XS)

Data from Figure 8

10.17182/hepdata.144918.v1/t11

The observed (filled circles) and expected (hollow circles) 95% CL upper limits on the $HH$ ggF production cross-section in the...
Table 12 ($c_{{H}\boxed{}}$ vs $c_{H}$ obs)

Data from Figure 9

10.17182/hepdata.144918.v1/t12

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT parameter...
Table 13 ($c_{{H}\boxed{}}$ vs $c_{H}$ exp)

Data from Figure 9

10.17182/hepdata.144918.v1/t13

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT...
Table 14 (ggF HH Acc X Eff on $\kappa_{\lambda}$)

Data from Figure 4 in auxiliary material

10.17182/hepdata.144918.v1/t14

The acceptance times efficiency for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each...
Table 15 (VBF HH Acc X Eff on $\kappa_{\lambda}$)

Data from Figure 5(a) in auxiliary material

10.17182/hepdata.144918.v1/t15

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each...
Table 16 (VBF HH Acc X Eff on $\kappa_{2V}$)

Data from Figure 5(b) in auxiliary material

10.17182/hepdata.144918.v1/t16

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each...
Table 17 (HH expected yields on $\kappa_{\lambda}$)

Data from Figure 6 in auxiliary material

10.17182/hepdata.144918.v1/t17

Expected yields of the signal $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ after applying the analysis preselection...
Table 18 (ggF HH Acc X Eff on $c_{hhh}$)

Data from Figure 7(a) in auxiliary material

10.17182/hepdata.144918.v1/t18

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$...
Table 19 (ggF HH Acc X Eff on $c_{tthh}$)

Data from Figure 7(b) in auxiliary material

10.17182/hepdata.144918.v1/t19

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$...
Table 20 (ggF HH Acc X Eff on $c_{gghh}$)

Data from Figure 7(c) in auxiliary material

10.17182/hepdata.144918.v1/t20

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$...
Table 21 (ggF HH Acc X Eff on $c_{H}$)

Data from Figure 7(d) in auxiliary material

10.17182/hepdata.144918.v1/t21

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$...
Table 22 (ggF HH Acc X Eff on $c_{{H}\boxed{}}$)

Data from Figure 7(e) in auxiliary material

10.17182/hepdata.144918.v1/t22

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$...
Table 23 (HH expected yields on $c_{hhh}$)

Data from Figure 8(a) in auxiliary material

10.17182/hepdata.144918.v1/t23

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$ HEFT coefficients....
Table 24 (HH expected yields on $c_{tthh}$)

Data from Figure 8(b) in auxiliary material

10.17182/hepdata.144918.v1/t24

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$ HEFT coefficients....
Table 25 (HH expected yields on $c_{gghh}$)

Data from Figure 8(c) in auxiliary material

10.17182/hepdata.144918.v1/t25

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$ HEFT coefficients....
Table 26 (HH expected yields on $c_{H}$)

Data from Figure 8(d) in auxiliary material

10.17182/hepdata.144918.v1/t26

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$ SMEFT coefficients....
Table 27 (HH expected yields on $c_{{H}\boxed{}}$)

Data from Figure 8(e) in auxiliary material

10.17182/hepdata.144918.v1/t27

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients....
Table 28 (Low mass 1 $m_{\gamma\gamma}$ distributions)

Data from Figure 11(a) in auxiliary material

10.17182/hepdata.144918.v1/t28

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 29 (Low mass 2 $m_{\gamma\gamma}$ distributions)

Data from Figure 11(b) in auxiliary material

10.17182/hepdata.144918.v1/t29

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 30 (Low mass 3 $m_{\gamma\gamma}$ distributions)

Data from Figure 11(c) in auxiliary material

10.17182/hepdata.144918.v1/t30

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 31 (Low mass 4 $m_{\gamma\gamma}$ distributions)

Data from Figure 11(d) in auxiliary material

10.17182/hepdata.144918.v1/t31

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 32 (High mass 1 $m_{\gamma\gamma}$ distributions)

Data from Figure 12(a) in auxiliary material

10.17182/hepdata.144918.v1/t32

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 33 (High mass 2 $m_{\gamma\gamma}$ distributions)

Data from Figure 12(b) in auxiliary material

10.17182/hepdata.144918.v1/t33

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 34 (High mass 3 $m_{\gamma\gamma}$ distributions)

Data from Figure 12(c) in auxiliary material

10.17182/hepdata.144918.v1/t34

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of...
Table 35 ($c_{hhh}$ obs)

Data from Figure 14(a) in auxiliary material

10.17182/hepdata.144918.v1/t35

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are...
Table 36 ($c_{hhh}$ exp)

Data from Figure 14(a) in auxiliary material

10.17182/hepdata.144918.v1/t36

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are...
Table 37 ($c_{gghh}$ obs)

Data from Figure 14(b) in auxiliary material

10.17182/hepdata.144918.v1/t37

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are...
Table 38 ($c_{gghh}$ exp)

Data from Figure 14(b) in auxiliary material

10.17182/hepdata.144918.v1/t38

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are...
Table 39 ($c_{tthh}$ obs)

Data from Figure 14(c) in auxiliary material

10.17182/hepdata.144918.v1/t39

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are...
Table 40 ($c_{tthh}$ exp)

Data from Figure 14(c) in auxiliary material

10.17182/hepdata.144918.v1/t40

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are...
Table 41 ($c_{H}$ obs)

Data from Figure 16(a) in auxiliary material

10.17182/hepdata.144918.v1/t41

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are...
Table 42 ($c_{H}$ exp)

Data from Figure 16(a) in auxiliary material

10.17182/hepdata.144918.v1/t42

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are...
Table 43 ($c_{{H}\boxed{}}$ obs)

Data from Figure 16(b) in auxiliary material

10.17182/hepdata.144918.v1/t43

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are...
Table 44 ($c_{{H}\boxed{}}$ exp)

Data from Figure 16(b) in auxiliary material

10.17182/hepdata.144918.v1/t44

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are...
Table 45 (constraints at 68% and 95% CL on the coefficients)

Data from Figure 18 in auxiliary material

10.17182/hepdata.144918.v1/t45

Summary of the expected (blue) and observed (orange) one-dimensional constraints at 68% (solid error bars) and 95% (dashed error bars)...

Table 1 ($\kappa_{\lambda}$ obs)

Table 2 ($\kappa_{\lambda}$ exp)

Table 3 ($\kappa_{2V}$ obs)

Table 4 ($\kappa_{2V}$ exp)

Table 5 ($\kappa_{\lambda}$ vs $\kappa_{2V}$ obs)

Table 6 ($\kappa_{\lambda}$ vs $\kappa_{2V}$ exp)

Table 7 ($c_{gghh}$ vs $c_{hhh}$ obs)

Table 8 ($c_{gghh}$ vs $c_{hhh}$ exp)

Table 9 ($c_{tthh}$ vs $c_{hhh}$ obs)

Table 10 ($c_{tthh}$ vs $c_{hhh}$ exp)

Table 11 (95% CL upper limits on the HH ggF XS)

Table 12 ($c_{{H}\boxed{}}$ vs $c_{H}$ obs)

Table 13 ($c_{{H}\boxed{}}$ vs $c_{H}$ exp)

Table 14 (ggF HH Acc X Eff on $\kappa_{\lambda}$)

Table 15 (VBF HH Acc X Eff on $\kappa_{\lambda}$)

Table 16 (VBF HH Acc X Eff on $\kappa_{2V}$)

Table 17 (HH expected yields on $\kappa_{\lambda}$)

Table 18 (ggF HH Acc X Eff on $c_{hhh}$)

Table 19 (ggF HH Acc X Eff on $c_{tthh}$)

Table 20 (ggF HH Acc X Eff on $c_{gghh}$)

Table 21 (ggF HH Acc X Eff on $c_{H}$)

Table 22 (ggF HH Acc X Eff on $c_{{H}\boxed{}}$)

Table 23 (HH expected yields on $c_{hhh}$)

Table 24 (HH expected yields on $c_{tthh}$)

Table 25 (HH expected yields on $c_{gghh}$)

Table 26 (HH expected yields on $c_{H}$)

Table 27 (HH expected yields on $c_{{H}\boxed{}}$)

Table 28 (Low mass 1 $m_{\gamma\gamma}$ distributions)

Table 29 (Low mass 2 $m_{\gamma\gamma}$ distributions)

Table 30 (Low mass 3 $m_{\gamma\gamma}$ distributions)

Table 31 (Low mass 4 $m_{\gamma\gamma}$ distributions)

Table 32 (High mass 1 $m_{\gamma\gamma}$ distributions)

Table 33 (High mass 2 $m_{\gamma\gamma}$ distributions)

Table 34 (High mass 3 $m_{\gamma\gamma}$ distributions)

Table 35 ($c_{hhh}$ obs)

Table 36 ($c_{hhh}$ exp)

Table 37 ($c_{gghh}$ obs)

Table 38 ($c_{gghh}$ exp)

Table 39 ($c_{tthh}$ obs)

Table 40 ($c_{tthh}$ exp)

Table 41 ($c_{H}$ obs)

Table 42 ($c_{H}$ exp)

Table 43 ($c_{{H}\boxed{}}$ obs)

Table 44 ($c_{{H}\boxed{}}$ exp)

Table 45 (constraints at 68% and 95% CL on the coefficients)

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