Completing the four-body contributions to $\bar{B}\rightarrow X_s \gamma$ at NLO

TL;DR

This paper discusses the progress in calculating four-particle contributions to the inclusive radiative decay of B mesons at next-to-leading order, aiming to complete the theoretical prediction for this process.

Contribution

It presents the ongoing calculation of multiparticle contributions at NLO, including the evaluation of complex one-loop and tree-level processes, addressing IR divergences and gamma_5 issues.

Findings

Progress in calculating four-particle contributions at NLO

Discussion of IR divergence treatment and gamma_5 subtleties

Work towards completing the theoretical prediction for B→X_sγ decay

Abstract

We report on the status of the ongoing calculation of multiparticle contributions to the inclusive radiative $\bar{B} \rightarrow X_s \gamma$ decay at next-to leading order. This effort amounts to the evaluation of the four-particle process $b\rightarrow s \bar{q} q \gamma$ at the one-loop level, supplemented by the corresponding five-particle tree-level cuts $b\rightarrow s \bar{q} q \gamma + g$ of the gluon bremsstrahlung. Knowledge of these pieces will formally complete the $\bar{B} \rightarrow X_s \gamma$ decay at the next-to-leading order. The different steps such as the generation of the amplitude, its renormalization, and the treatment of occurring IR-divergences are discussed. Moreover, we elaborate on the subtleties that arise when treating $\gamma_5$ in $D$ dimensions.