Study of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ decays in covariant quark model

Abstract

We study the rare radiative leptonic decays $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ ($\ell =e,\mu ,\tau$) within the Standard Model, considering both the structure-dependent amplitude and bremsstrahlung. In the framework of the covariant confined quark model developed by us, we calculate the form factors characterizing the $B_s\to \gamma$ transition in the full kinematical region of the dilepton momentum squared and discuss their behavior. We provide the analytic formula for the differential decay distribution and give predictions for the branching fractions in both cases: with and without long-distance contributions. Finally, we compare our results with those obtained in other approaches.

arXiv comment22 pages, 8 figures, 6 tables, more references and material added, a version to appear on PRD

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• Analysis of neutral $B$-meson decays into two muons
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• $D^{\ast }$ Polarization as an Additional Constraint on New Physics in the $b\to c\tau {\bar{\nu }}_{\tau }$ Transition
• Theoretical analysis of the leptonic decays $B\to \ell \ell {\ell }^{\prime }{\bar{\nu }}_{{\ell }^{\prime }}$
• Signatures of a Flavor Changing $Z^{\prime }$ Boson in $B_q\to \gamma Z^{\prime }$
• Prediction of various observables for $B_s^0\to D_s^{(\ast )-}{\ell }^{+}{\nu }_{\ell }$ within covariant confined quark model
• Form factors for $B\to j_1{j}_2$ decays into two currents in QCD
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• Study of $B_s^0\to l^{+}{l}^{-}\gamma$ decays in the nonuniversal Z' model