$B_s\to \mu^+\mu^-$ and $\bar{B} \to X_s \gamma$ to NNLO

TL;DR

This paper reviews recent high-precision theoretical calculations of rare B-meson decays, specifically $B_s o \mu^+\mu^-$ and $ar{B} o X_s \gamma$, including NNLO QCD and NLO electroweak corrections, and discusses associated uncertainties.

Contribution

It provides a comprehensive review of the latest NNLO QCD and NLO electroweak corrections for these rare decay processes and analyzes the uncertainties in the theoretical predictions.

Findings

Updated decay rate predictions with reduced uncertainties

Assessment of the impact of higher-order corrections on experimental comparisons

Identification of remaining theoretical uncertainties

Abstract

In this contribution, the recent calculation of next-to-next-to-leading order QCD and next-to-leading order electroweak corrections to the decay $B_s\to \mu^+\mu^-$ is reviewed, and a detailed discussion of the uncertainty of the theory prediction is provided. Furthermore, we discuss the status of the next-to-next-to-leading order QCD corrections to $\bar{B} \to X_s \gamma$.