Radiative corrections in K --> pi l+ l- decays

Abstract

We calculate radiative corrections to the flavor-changing neutral current process K --> pi l+ l-, both for charged and neutral kaon decays. While the soft-photon approximation is shown to work well for the muon channels, we discuss the necessity of further phase space cuts with electrons in the final state. It is also shown how to transfer our results to other decays such as eta --> gamma l+ l- or omega --> pi0 l+ l-.

12 pages, 9 figures; reference added, matches version published in EPJC

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• QED Corrections in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ at the Double-Differential Level
• Lepton flavor (universality) violation in rare kaon decays
• Soft-Photon Corrections to $\bar{B}\to D{\tau }^{-}{\bar{\nu }}_{\tau }$ Relative to $\bar{B}\to D{\mu }^{-}{\bar{\nu }}_{\mu }$
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• A measurement of the $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decay
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• The 27-plet contributions to the CP-conserving $K\to \pi l^{+}{l}^{-}$ decays
• $C$ and $CP$ violation in effective field theories
• Workshop summary -- Kaons@CERN 2023
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$
• Radiative modes $K^{+}\to {\pi }^{+}{\gamma }^{\ast }{\gamma }^{(\ast )}$ and the $K^{+}\to {\pi }^{+}4e$ decay