Matching Conditions for $b \to s \gamma$ and $b \to s gluon$ in Extensions of the Standard Model

TL;DR

This paper calculates the matching conditions for operators involved in rare B-meson decays within various Standard Model extensions, including two-loop QCD corrections, highlighting their importance in precise new physics predictions.

Contribution

It provides leading-order matching conditions with two-loop QCD corrections for $b o s \,\gamma$ and $b o s \,gluon$ transitions in extended Standard Model frameworks.

Findings

Two-loop QCD corrections can significantly affect Wilson coefficients.

Approximate cancellations among contributions make these corrections numerically important.

The results aid in more accurate predictions of rare B-meson decay processes.

Abstract

We evaluate matching conditions for the Wilson coefficients of operators mediating the $b \to s \gamma$ and $b \to s gluon$ transitions in a large class of extensions of the Standard Model. The calculation is performed at the leading order in flavor-changing couplings and includes two-loop QCD corrections. These corrections can be numerically important when approximate cancellations occur among the new physics contributions and/or the SM one.