Precision tests of third-generation four-quark operators: one- and two-loop matching

TL;DR

This paper computes one- and two-loop corrections in SMEFT related to third-generation four-quark operators, aiding model-independent constraints on new physics affecting electroweak and flavor observables.

Contribution

It provides the first detailed two-loop matching calculations for third-generation four-quark operators in SMEFT, with analytic formulas for precision observables.

Findings

Analytic expressions for one- and two-loop matching corrections.

Enhanced precision in SMEFT constraints on new physics.

Facilitation of global SMEFT analyses with new formulas.

Abstract

We calculate the one- and two-loop matching corrections in the Standard Model effective field theory (SMEFT) that impact electroweak precision measurements and flavour physics observables, focusing on the contributions of third-generation four-quark operators. Our results provide a crucial ingredient for a model-independent analysis of constraints on beyond the Standard Model physics that primarily affects the sector of third-generation four-quark operators. Concise analytic expressions are provided for all considered precision observables, which should facilitate their inclusion into global SMEFT analyses.