Light cone QCD sum rules study of the rare radiative $\Xi^{*}_{bb}\to\Xi_b\gamma$ decay

TL;DR

This paper calculates the decay rate of the rare $ ext{Xi}^{*}_{bb} o ext{Xi}_b ext{gamma}$ process using light cone QCD sum rules, providing predictions relevant for future experiments at LHCb.

Contribution

It derives new sum rules for four tensor form factors at $q^2=0$ for the $ ext{Xi}^{*}_{bb} o ext{Xi}_b ext{gamma}$ decay within the light cone QCD framework.

Findings

Decay width estimated to be within experimental reach.

Form factors computed at $q^2=0$ using $ ext{Xi}_b$ distribution amplitudes.

Decay could be observed in future high-statistics LHCb studies.

Abstract

The rare radiative decay $\Xi^{*}_{bb}\to\Xi_b\gamma$ is investigated within the light cone QCD sum rules approach. This decay proceeds through the flavor changing neutral current $b\to s$ transition in the Standard Model. The hadronic matrix element of the considered decay is parameterized in terms of four tensor form factors $T_1^{V}(q^2)$, $T_2^{V}(q^2)$, $T_1^{A}(q^2)$ and $T_2^{A}(q^2)$. The sum rules for these form factors describing the $\Xi^{*}_{bb}\to\Xi_b\gamma$ decay are derived at $q^2=0$ point using the $\Xi_b$ distribution amplitudes. The results of the form factors are employed to calculate the corresponding decay width. Our finding indicates that this weak radiative decay could be within reach of future high statistics studies of doubly heavy baryons at LHCb and upcoming facilities.