Dimuon and ditau production in photon-photon collisions at next-to-leading order in QED
- Shao, Hua-Sheng et al
- arXiv:2407.13610
 | Selection of diagrams for the photon-fusion production of a pair of charged leptons, $\gaga\to\ellell$ with $\ell^\pm = e^\pm,\mu^\pm,\tau^\pm$, in collisions of electrons, protons, and/or ions: Born (leftmost), and real (second) and virtual (rest of the diagrams) NLO corrections. |
 | Parametric uncertainties in the calculation of exclusive $\gaga\to\ellell$ production cross sections as a function of the $\gaga$ \cm\ energy, due to the hadronic survival probabilities in PbPb (left) and p-p (right) UPCs at the LHC. |
 | Parametric uncertainties in the calculation of exclusive $\gaga\to\ellell$ production cross sections as a function of the $\gaga$ \cm\ energy, due to the hadronic survival probabilities in PbPb (left) and p-p (right) UPCs at the LHC. |
 | Distributions of dimuon acoplanarity $A_{\phi}^{\mm}$ (left) and $\pT^{\mm}$ (right) in \pp\ UPCs at $\sqrts=13$ TeV (within the phase space defined in Table~\ref{tab:dimuoncuts}, third row) computed with \gammaUPC\ (ChFF photon flux) at LO$\,+\,\kt$-smearing (blue dashed histograms) and NLO QED (red histograms) accuracy, and their corresponding combined distributions (filled grey histograms). |
 | Distributions of dimuon acoplanarity $A_{\phi}^{\mm}$ (left) and $\pT^{\mm}$ (right) in \pp\ UPCs at $\sqrts=13$ TeV (within the phase space defined in Table~\ref{tab:dimuoncuts}, third row) computed with \gammaUPC\ (ChFF photon flux) at LO$\,+\,\kt$-smearing (blue dashed histograms) and NLO QED (red histograms) accuracy, and their corresponding combined distributions (filled grey histograms). |
 | Differential cross section for exclusive dimuon production as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, in \pp\ UPCs at $\sqrts=13$~TeV within the fiducial cuts of Table~\ref{tab:dimuoncuts} (third row). The data (dots with orange boxes)~\cite{ATLAS:2017sfe} are compared with LO (blue dashed histogram) and NLO (red histogram) QED predictions with EDFF (left) and ChFF (right) photon fluxes. The lower panels of each plot show the corresponding data/NLO ratios (dots with orange uncertainties boxes) and NLO/LO $K$ factors (violet line). |
 | Distributions for dimuon acoplanarity $A_{\phi}^{\mm}$ (left) and $\pT^{\mm}$ (right) in \PbPb\ UPCs at $\sqrtsnn=5.02$ TeV computed with \gammaUPC\ (ChFF photon flux) at LO$\,+\,\kt$-smearing (blue dashed histograms) and NLO (red histogram) QED accuracy, and their corresponding combined distributions (filled grey histograms). In the left panel, the acoplanarity distributions are compared to the $\mathrm{d}\sigma/\mathrm{d}A_{\phi}$ measurement of Ref.~\cite{ATLAS:2020epq} (black dots with orange uncertainties), and the ratio of data over merged NLO$\,+\,\kt$-smearing prediction is shown in the bottom left panel. |
 | Distributions for dimuon acoplanarity $A_{\phi}^{\mm}$ (left) and $\pT^{\mm}$ (right) in \PbPb\ UPCs at $\sqrtsnn=5.02$ TeV computed with \gammaUPC\ (ChFF photon flux) at LO$\,+\,\kt$-smearing (blue dashed histograms) and NLO (red histogram) QED accuracy, and their corresponding combined distributions (filled grey histograms). In the left panel, the acoplanarity distributions are compared to the $\mathrm{d}\sigma/\mathrm{d}A_{\phi}$ measurement of Ref.~\cite{ATLAS:2020epq} (black dots with orange uncertainties), and the ratio of data over merged NLO$\,+\,\kt$-smearing prediction is shown in the bottom left panel. |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of invariant mass, $\mathrm{d}\sigma/\mathrm{d}m_{\mu^+\mu^-}$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of dimuon rapidity. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of dimuon absolute rapidity, $\mathrm{d}\sigma/\mathrm{d}|y_{\mu^+\mu^-}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV in different ranges of invariant mass. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the cosine of the scattering angle in the rest frame of the dimuon system, $\mathrm{d}\sigma/\mathrm{d}|\cos{\theta^\star_{\mm}}|$, for exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (over $|y_{\mu\mu}|<2.4$). The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the minimum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{min}}$, left) and maximum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{max}}$, right) energy of the initial photon in exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the minimum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{min}}$, left) and maximum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{max}}$, right) energy of the initial photon in exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the minimum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{min}}$, left) and maximum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{max}}$, right) energy of the initial photon in exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Differential cross section as a function of the minimum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{min}}$, left) and maximum ($\mathrm{d}\sigma/dE_{\gamma,\mathrm{max}}$, right) energy of the initial photon in exclusive dimuon production in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV. The data (black dots with orange uncertainties)~\cite{ATLAS:2020epq} are compared with LO (blue dashed histogram) and NLO (red histogram) QED \gammaUPC\ predictions with ChFF (top) and EDFF (bottom) $\gamma$ fluxes. The lower panels of each plot show the corresponding data/NLO ratios (black dots with orange uncertainties) and NLO/LO $K$ factors (violet histogram). |
 | Predicted $\gaga\to\tautau$ differential cross sections at NLO QED accuracy as a function of ditau mass $\mathrm{d}\sigma/\mathrm{d}m_{\tata}$ (left) and $\mathrm{d}\sigma/\mathrm{d}\pT^{\tau}$ (right) in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (for $m_{\tata} > 4$~GeV, $|y^\tau|< 2.5$) using the ChFF (red) and EDFF (blue) photon fluxes. The lower plots show the corresponding $\mathrm{d}\sigma^\mathrm{NLO}/\mathrm{d}\sigma^\mathrm{LO}$ $K$ factors. |
 | Predicted $\gaga\to\tautau$ differential cross sections at NLO QED accuracy as a function of ditau mass $\mathrm{d}\sigma/\mathrm{d}m_{\tata}$ (left) and $\mathrm{d}\sigma/\mathrm{d}\pT^{\tau}$ (right) in \PbPb\ UPCs at $\sqrtsnn=5.02$~TeV (for $m_{\tata} > 4$~GeV, $|y^\tau|< 2.5$) using the ChFF (red) and EDFF (blue) photon fluxes. The lower plots show the corresponding $\mathrm{d}\sigma^\mathrm{NLO}/\mathrm{d}\sigma^\mathrm{LO}$ $K$ factors. |
 | Predicted $\gaga\to\tautau$ differential cross sections at NLO QED accuracy as a function of ditau mass $\mathrm{d}\sigma/\mathrm{d}m_{\tata}$ (left) and $\mathrm{d}\sigma/\mathrm{d}\pT^{\tau}$ (right) in \pp\ UPCs at $\sqrts=13.6$~TeV (for $m_{\tata}>50$~GeV, $|y^\tau|< 2.5$) using the ChFF (red) and EDFF (blue) photon fluxes. The lower plots show the corresponding $\mathrm{d}\sigma^\mathrm{NLO}/\mathrm{d}\sigma^\mathrm{LO}$ $K$ factors. |
 | Predicted $\gaga\to\tautau$ differential cross sections at NLO QED accuracy as a function of ditau mass $\mathrm{d}\sigma/\mathrm{d}m_{\tata}$ (left) and $\mathrm{d}\sigma/\mathrm{d}\pT^{\tau}$ (right) in \pp\ UPCs at $\sqrts=13.6$~TeV (for $m_{\tata}>50$~GeV, $|y^\tau|< 2.5$) using the ChFF (red) and EDFF (blue) photon fluxes. The lower plots show the corresponding $\mathrm{d}\sigma^\mathrm{NLO}/\mathrm{d}\sigma^\mathrm{LO}$ $K$ factors. |