1-Loop Matching of gauge invariant dim-6 operators for B decays

TL;DR

This paper reviews the one-loop matching of gauge-invariant dimension-six operators onto the effective Hamiltonian for B meson decays, providing a model-independent approach to new physics effects beyond the Standard Model.

Contribution

It presents the first comprehensive calculation of one-loop matching conditions for dimension-six operators relevant to B decays within the Standard Model gauge symmetry.

Findings

Derived explicit one-loop matching formulas for operators

Clarified the impact of new physics on B decay processes

Provided tools for model-independent analysis of B decay anomalies

Abstract

Physics beyond the Standard Model, realized above the electroweak scale, can be incorporated in a model independent way in the Wilson coefficients of higher dimensional gauge invariant operators. In these proceedings we review the matching of the $SU(3)_C\times SU(2)_L\times U(1)_Y$ gauge invariant dimension-six operators on the effective Hamiltonian governing $b\to s$ and $b\to c$ transitions, including the leading 1-loop effects.