Bounding the B_s -> gamma gamma decay from Higgs mediated FCNC transitions

TL;DR

This paper investigates Higgs-mediated flavor-changing neutral current transitions in bottom-strange quarks, constraining the $Hbs$ coupling with experimental data to estimate the $B_s o \gamma\gamma$ decay rate, which could be significantly higher than current limits.

Contribution

It provides the first estimate of the $B_s o \gamma\gamma$ decay branching ratio within an effective Yukawa sector including dimension-six operators, constrained by recent experimental results.

Findings

The $B_s o \gamma\gamma$ decay could have a branching ratio of about $4\times 10^{-8}$.

This estimate is two orders of magnitude above current experimental bounds.

The study constrains the $Hbs$ coupling using $B\to X_s\gamma$ data.

Abstract

The Higgs mediated flavor violating bottom-strange quarks transitions induced at the one-loop level by a nondiagonal $Hbs$ coupling are studied within the context of an effective Yukawa sector that comprises $SU_L(2)\times U_Y(1)$-invariant operators of up to dimension-six. The most recent experimental result on $B\to X_s\gamma$ with hard photons is employed to constraint the $Hbs$ vertex, which is used to estimate the branching ratio for the $B_s\to \gamma\gamma$ decay. It is found that the $B_s\to \gamma\gamma$ decay can reach a branching ratio of the order of $4\times 10^{-8}$, which is 2 orders of magnitude more stringent than the current experimental limit.