Revisiting electroweak radiative corrections to $b\to s\ell\ell$ in SMEFT

TL;DR

This paper reevaluates electroweak radiative corrections in SMEFT for B-meson decays, providing detailed one-loop matching formulas and emphasizing gauge independence without flavor symmetry assumptions.

Contribution

It offers new one-loop matching formulae for SMEFT operators relevant to B-meson decays, including flavor mixing and gauge independence considerations.

Findings

Explicit one-loop matching formulas for SMEFT operators.

Demonstration of gauge independence in the calculations.

No flavor symmetry imposed in the analysis.

Abstract

We revisit electroweak radiative corrections to Standard Model Effective Field Theory (SMEFT) operators which are relevant for the $B$-meson semileptonic decays. The one-loop matching formulae onto the low-energy effective field theory are provided without imposing any flavor symmetry. The on-shell conditions are applied especially in dealing with quark-flavor mixings. Also, the gauge independence is shown explicitly in the $R_\xi$ gauge.