15–17 Jun 2022
Universidad de Granada
Europe/Madrid timezone

Gauge Invariance and Finite Counterterms in Chiral Gauge Theories

16 Jun 2022, 15:00
30m

Speaker

Luca Vecchi (EPFL - Ecole Polytechnique Federale Lausanne (CH))

Description

We derive the finite one-loop counterterm required to restore the Ward Identities broken by the regularization scheme in chiral gauge theories. Our result is an analytic expression applicable to a wide class of regularizations satisfying a few general properties. We adopt the background field method, which ensures background gauge invariance in the quantized theory, and focus on renormalizable chiral theories with arbitrary gauge group and fermions in general representations. Our approach can be extended to theories involving scalars, such as the Standard Model, or to non-renormalizable theories, such as the SMEFT. As a concrete application, we work out the finite counterterm at one loop in the Standard Model, within dimensional regularization and the Breitenlohner-Maison-'t Hooft-Veltman prescription for gamma5.

Presentation materials