Measurement of the inclusive and differential t$ \overline{t} $γ cross sections in the dilepton channel and effective field theory interpretation in proton-proton collisions at $ \sqrt{s} $ = 13 TeV

The CMS collaboration
JHEP 05 (2022) 091, 2022.

Abstract
The production cross section of a top quark pair in association with a photon is measured in proton-proton collisions in the decay channel with two oppositely charged leptons (e$^\pm\mu^\mp$, e$^+$e$^-$, or $\mu^+\mu^-$). The measurement is performed using 138 fb$^{-1}$ of proton-proton collision data recorded by the CMS experiment at $\sqrt{s} =$ 13 TeV during the 2016-2018 data-taking period of the CERN LHC. A fiducial phase space is defined such that photons radiated by initial-state particles, top quarks, or any of their decay products are included. An inclusive cross section of 175.2 $\pm$ 2.5 (stat) $\pm$ 6.3 (syst) fb is measured in a signal region with at least one jet coming from the hadronization of a bottom quark and exactly one photon with transverse momentum above 20 GeV. Differential cross sections are measured as functions of several kinematic observables of the photon, leptons, and jets, and compared to standard model predictions. The measurements are also interpreted in the standard model effective field theory framework, and limits are found on the relevant Wilson coefficients from these results alone and in combination with a previous CMS measurement of the $\mathrm{t\bar{t}}\gamma$ production process using the lepton+jets final state.

  • Figure 6a

    Data corresponding to figure 6a (upper right)

    10.17182/hepdata.113657.v3/t1

    Observed and predicted event yields as a function of $p_{T}(\gamma)$ in the $e\mu$ channel, after the fit to the data.

  • Figure 6b

    Data corresponding to figure 6b (lower)

    10.17182/hepdata.113657.v3/t2

    Observed and predicted event yields as a function of $p_{T}(\gamma)$ in the $ee$ channel, after the fit to the data.

  • Figure 6c

    Data corresponding to figure 6c (upper left)

    10.17182/hepdata.113657.v3/t3

    Observed and predicted event yields as a function of $p_{T}(\gamma)$ in the $\mu\mu$ channel, after the fit to the data.

  • Figure 7

    Data corresponding to figure 7

    10.17182/hepdata.113657.v3/t4

    Measured inclusive fiducial $tt\gamma$ production cross section in the dilepton final state for the different dilepton-flavour channels and combined.

  • Figure 8a

    Data corresponding to figure 8a (upper left)

    10.17182/hepdata.113657.v3/t5

    Absolute differential $tt\gamma$ production cross section as a function of $p_{T}(\gamma)$ . The values provided in the table are not...

  • Figure 8b

    Data corresponding to figure 8b (upper right)

    10.17182/hepdata.113657.v3/t6

    Absolute differential $tt\gamma$ production cross section as a function of $|\eta |(\gamma)$. The values provided in the table are not...

  • Figure 8c

    Data corresponding to figure 8c (middle left)

    10.17182/hepdata.113657.v3/t7

    Absolute differential $tt\gamma$ production cross section as a function of min $\Delta R(\gamma, \ell)$. The values provided in the table...

  • Figure 8d

    Data corresponding to figure 8d (middle right)

    10.17182/hepdata.113657.v3/t8

    Absolute differential $tt\gamma$ production cross section as a function of $\Delta R(\gamma, \ell_{1})$. The values provided in the table are...

  • Figure 8e

    Data corresponding to figure 8e (lower left)

    10.17182/hepdata.113657.v3/t9

    Absolute differential $tt\gamma$ production cross section as a function of $\Delta R(\gamma, \ell_{2})$. The values provided in the table are...

  • Figure 8f

    Data corresponding to figure 8f (lower right)

    10.17182/hepdata.113657.v3/t10

    Absolute differential $tt\gamma$ production cross section as a function of min $\Delta R(\gamma, b)$. The values provided in the table...

  • Figure 9a

    Data corresponding to figure 9a (upper left)

    10.17182/hepdata.113657.v3/t11

    Absolute differential $tt\gamma$ production cross section as a function of $|\Delta\eta(\ell\ell)|$. The values provided in the table are not divided...

  • Figure 9b

    Data corresponding to figure 9b (upper right)

    10.17182/hepdata.113657.v3/t12

    Absolute differential $tt\gamma$ production cross section as a function of $\Delta \phi(\ell\ell)$. The values provided in the table are not...

  • Figure 9c

    Data corresponding to figure 9c (middle left)

    10.17182/hepdata.113657.v3/t13

    Absolute differential $tt\gamma$ production cross section as a function of $p_{T}(\ell\ell) $. The values provided in the table are not...

  • Figure 9d

    Data corresponding to figure 9d (middle right)

    10.17182/hepdata.113657.v3/t14

    Absolute differential $tt\gamma$ production cross section as a function of $p_{T}(\ell_{1})+p_{T}(\ell_{2})$ . The values provided in the table are not...

  • Figure 9e

    Data corresponding to figure 9e (lower left)

    10.17182/hepdata.113657.v3/t15

    Absolute differential $tt\gamma$ production cross section as a function of min $\Delta R(\ell, j)$. The values provided in the table...

  • Figure 9f

    Data corresponding to figure 9f (lower right)

    10.17182/hepdata.113657.v3/t16

    Absolute differential $tt\gamma$ production cross section as a function of $p_{T}(j_{1})$ .

  • Figure 10a

    Data corresponding to figure 10a (upper left)

    10.17182/hepdata.113657.v3/t17

    Normalized differential $tt\gamma$ production cross section as a function of $p_{T}(\gamma)$ . The values provided in the table are not...

  • Figure 10b

    Data corresponding to figure 10b (upper right)

    10.17182/hepdata.113657.v3/t18

    Normalized differential $tt\gamma$ production cross section as a function of $|\eta |(\gamma)$. The values provided in the table are not...

  • Figure 10c

    Data corresponding to figure 10c (middle left)

    10.17182/hepdata.113657.v3/t19

    Normalized differential $tt\gamma$ production cross section as a function of min $\Delta R(\gamma, \ell)$. The values provided in the table...

  • Figure 10d

    Data corresponding to figure 10d (middle right)

    10.17182/hepdata.113657.v3/t20

    Normalized differential $tt\gamma$ production cross section as a function of $\Delta R(\gamma, \ell_{1})$. The values provided in the table are...

  • Figure 10e

    Data corresponding to figure 10e (lower left)

    10.17182/hepdata.113657.v3/t21

    Normalized differential $tt\gamma$ production cross section as a function of $\Delta R(\gamma, \ell_{2})$. The values provided in the table are...

  • Figure 10f

    Data corresponding to figure 10f (lower right)

    10.17182/hepdata.113657.v3/t22

    Normalized differential $tt\gamma$ production cross section as a function of min $\Delta R(\gamma, b)$. The values provided in the table...

  • Figure 11a

    Data corresponding to figure 11a (upper left)

    10.17182/hepdata.113657.v3/t23

    Normalized differential $tt\gamma$ production cross section as a function of $|\Delta\eta(\ell\ell)|$. The values provided in the table are not divided...

  • Figure 11b

    Data corresponding to figure 11b (upper right)

    10.17182/hepdata.113657.v3/t24

    Normalized differential $tt\gamma$ production cross section as a function of $\Delta \phi(\ell\ell)$. The values provided in the table are not...

  • Figure 11c

    Data corresponding to figure 11c (middle left)

    10.17182/hepdata.113657.v3/t25

    Normalized differential $tt\gamma$ production cross section as a function of $p_{T}(\ell\ell) $. The values provided in the table are not...

  • Figure 11d

    Data corresponding to figure 11d (middle right)

    10.17182/hepdata.113657.v3/t26

    Normalized differential $tt\gamma$ production cross section as a function of $p_{T}(\ell_{1})+p_{T}(\ell_{2})$ . The values provided in the table are not...

  • Figure 11e

    Data corresponding to figure 11e (lower left)

    10.17182/hepdata.113657.v3/t27

    Normalized differential $tt\gamma$ production cross section as a function of min $\Delta R(\ell, j)$. The values provided in the table...

  • Figure 11f

    Data corresponding to figure 11f (lower right)

    10.17182/hepdata.113657.v3/t28

    Normalized differential $tt\gamma$ production cross section as a function of $p_{T}(j_{1})$ . The values provided in the table are not...

  • Syst. correlation for $p_{T}(\gamma)$

    Additional material related to figure 8a.

    10.17182/hepdata.113657.v3/t29

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $p_{T}(\gamma)$ .

  • Stat. correlation for $p_{T}(\gamma)$

    Additional material related to figure 8a.

    10.17182/hepdata.113657.v3/t30

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $p_{T}(\gamma)$ .

  • Syst. correlation for $|\eta |(\gamma)$

    Additional material related to figure 8b.

    10.17182/hepdata.113657.v3/t31

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $|\eta |(\gamma)$.

  • Stat. correlation for $|\eta |(\gamma)$

    Additional material related to figure 8b.

    10.17182/hepdata.113657.v3/t32

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $|\eta |(\gamma)$.

  • Syst. correlation for min $\Delta R(\gamma, \ell)$

    Additional material related to figure 8c.

    10.17182/hepdata.113657.v3/t33

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of min $\Delta R(\gamma, \ell)$.

  • Stat. correlation for min $\Delta R(\gamma, \ell)$

    Additional material related to figure 8c.

    10.17182/hepdata.113657.v3/t34

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of min $\Delta R(\gamma, \ell)$.

  • Syst. correlation for $\Delta R(\gamma, \ell_{1})$

    Additional material related to figure 8d.

    10.17182/hepdata.113657.v3/t35

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $\Delta R(\gamma, \ell_{1})$.

  • Stat. correlation for $\Delta R(\gamma, \ell_{1})$

    Additional material related to figure 8d.

    10.17182/hepdata.113657.v3/t36

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $\Delta R(\gamma, \ell_{1})$.

  • Syst. correlation for $\Delta R(\gamma, \ell_{2})$

    Additional material related to figure 8e.

    10.17182/hepdata.113657.v3/t37

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $\Delta R(\gamma, \ell_{2})$.

  • Stat. correlation for $\Delta R(\gamma, \ell_{2})$

    Additional material related to figure 8e.

    10.17182/hepdata.113657.v3/t38

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $\Delta R(\gamma, \ell_{2})$.

  • Syst. correlation for min $\Delta R(\gamma, b)$

    Additional material related to figure 8f.

    10.17182/hepdata.113657.v3/t39

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of min $\Delta R(\gamma, b)$.

  • Stat. correlation for min $\Delta R(\gamma, b)$

    Additional material related to figure 8f.

    10.17182/hepdata.113657.v3/t40

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of min $\Delta R(\gamma, b)$.

  • Syst. correlation for $|\Delta\eta(\ell\ell)|$

    Additional material related to figure 9a.

    10.17182/hepdata.113657.v3/t41

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $|\Delta\eta(\ell\ell)|$.

  • Stat. correlation for $|\Delta\eta(\ell\ell)|$

    Additional material related to figure 9a.

    10.17182/hepdata.113657.v3/t42

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $|\Delta\eta(\ell\ell)|$.

  • Syst. correlation for $\Delta \phi(\ell\ell)$

    Additional material related to figure 9b.

    10.17182/hepdata.113657.v3/t43

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $\Delta \phi(\ell\ell)$.

  • Stat. correlation for $\Delta \phi(\ell\ell)$

    Additional material related to figure 9b.

    10.17182/hepdata.113657.v3/t44

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $\Delta \phi(\ell\ell)$.

  • Syst. correlation for $p_{T}(\ell\ell)$

    Additional material related to figure 9c.

    10.17182/hepdata.113657.v3/t45

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $p_{T}(\ell\ell) $.

  • Stat. correlation for $p_{T}(\ell\ell)$

    Additional material related to figure 9c.

    10.17182/hepdata.113657.v3/t46

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $p_{T}(\ell\ell) $.

  • Syst. correlation for $p_{T}(\ell_{1})+p_{T}(\ell_{2})$

    Additional material related to figure 9d.

    10.17182/hepdata.113657.v3/t47

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $p_{T}(\ell_{1})+p_{T}(\ell_{2})$ .

  • Stat. correlation for $p_{T}(\ell_{1})+p_{T}(\ell_{2})$

    Additional material related to figure 9d.

    10.17182/hepdata.113657.v3/t48

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $p_{T}(\ell_{1})+p_{T}(\ell_{2})$ .

  • Syst. correlation for min $\Delta R(\ell, j)$

    Additional material related to figure 9e.

    10.17182/hepdata.113657.v3/t49

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of min $\Delta R(\ell, j)$.

  • Stat. correlation for min $\Delta R(\ell, j)$

    Additional material related to figure 9e.

    10.17182/hepdata.113657.v3/t50

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of min $\Delta R(\ell, j)$.

  • Syst. correlation for $p_{T}(j_{1})$

    Additional material related to figure 9f.

    10.17182/hepdata.113657.v3/t51

    Correlation matrix of the systematic uncertainty in the absolute differential cross section as a function of $p_{T}(j_{1})$ .

  • Stat. correlation for $p_{T}(j_{1})$

    Additional material related to figure 9f.

    10.17182/hepdata.113657.v3/t52

    Correlation matrix of the statistical uncertainty in the absolute differential cross section as a function of $p_{T}(j_{1})$ .

  • Figure 12a

    Data corresponding to figure 12a (upper left)

    10.17182/hepdata.113657.v3/t53

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c_{tZ}$, using the photon pT...

  • Figure 12b

    Data corresponding to figure 12b (upper right)

    10.17182/hepdata.113657.v3/t54

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c_{tZ}$, using the combination of...

  • Figure 12c

    Data corresponding to figure 12c (lower left)

    10.17182/hepdata.113657.v3/t55

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c^{I}_{tZ}$, using the photon pT...

  • Figure 12d

    Data corresponding to figure 12d (lower right)

    10.17182/hepdata.113657.v3/t56

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c^{I}_{tZ}$, using the combination of...

  • Profiled dilepton $c_{tZ}$ scan

    Similar plot to figure 12a, but profiling $c^{I}_{tZ}$

    10.17182/hepdata.113657.v3/t57

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c_{tZ}$, using the photon pT...

  • Profiled combined $c_{tZ}$ scan

    Similar plot to figure 12b, but profiling $c^{I}_{tZ}$

    10.17182/hepdata.113657.v3/t58

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c_{tZ}$, using the combination of...

  • Profiled dilepton $c^{I}_{tZ}$ scan

    Similar plot to figure 12c, but profiling $c_{tZ}$

    10.17182/hepdata.113657.v3/t59

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c^{I}_{tZ}$, using the photon pT...

  • Profiled combined $c^{I}_{tZ}$ scan

    Similar plot to figure 12d, but profiling $c_{tZ}$

    10.17182/hepdata.113657.v3/t60

    Negative log-likelihood difference from the best-fit value for the one-dimensional scans of the Wilson coefficient $c^{I}_{tZ}$, using the combination of...

  • Figure 13a

    Data corresponding to figure 13a (left)

    10.17182/hepdata.113657.v3/t61

    Negative log-likelihood difference from the best-fit value as a function of Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$ from the interpretation of...

  • Figure 13b

    Data corresponding to figure 13b (right)

    10.17182/hepdata.113657.v3/t62

    Negative log-likelihood difference from the best-fit value as a function of Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$ from the interpretation of...

  • Table 5

    Data corresponding to table 5

    10.17182/hepdata.113657.v3/t63

    One-dimensional 68 and 95% CL intervals obtained for the Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$, using the photon $p_{T}$ distribution from...

  • Figure 14

    Data corresponding to figure 14

    10.17182/hepdata.113657.v3/t64

    Comparison of observed $95\%$ CL intervals for the Wilson coefficients $c_{tZ}$ and $c^{I}_{tZ}$. Results are shown from a CMS ttZ...

Version 3 modifications: Included additional plots of likelihood scans and minor caption changes

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