PARTICLEFACE 2021: Unraveling New Physics Workshop & Management Committee Meeting

Chiral Theories in Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme: application to chiral QED at 2-loops

15 Jul 2021, 16:00

30m

DVORANA (3. krilo) (Institute Ruđer Bošković)

Submitted Talk Working Group Meeting

Speaker

Dr Hermès Bélusca-Maïto (Department of Physics, Faculty of Sciences, University of Zagreb)

Description

Dimensional regularization and renormalization in the Breitenlohner-Maison/’t Hooft-Veltman scheme, proved to be consistent at all loop orders, is a scheme that is widely used in phenomenological applications of (non-supersymmetric) QFTs. When being employed for theories with chiral fermions, however, the chiral and the BRST symmetries become broken, due to the specific γ5 treatment.

In this talk I present our latest work on the application of algebraic renormalization methods to resolve this problem, illustrated on the specific example of a chiral U(1) (QED) model, up to the two-loop level.
We calculate the unambiguous set of BRST-restoring local finite counterterms, that restore the BRST symmetry and ensures the consistency of this model in the dimensional scheme.

This talk is based on one upcoming publication, and on our recent publication (1-loop): arXiv:2004.14398 (published in JHEP 08 (2020) 08, 024).

Presentation materials

Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure

Hermes_Belusca_PARTICLEFACE_2021.pdf