Work

Advances at the $\gamma_5$-Frontier

Year: 2024

Type: conference-paper

Abstract: These proceedings discuss the current progress of the no-compromise approach to the dimensional renormalization of chiral gauge theories in the context of the BMHV scheme with non-anticommuting $\gamma_5$. Despite spuriously breaking BRST-invariance in intermediate steps, it is the only scheme which handles the well-known $\gamma_5$-problem mathematically consistently. We begin with a brief motivation, followed by an exposition of our methodology. Specifically, we illustrate the symmetry restoration procedure to obtain the required symmetry-restoring counterterms and provide insights into our computational setups, including recent developments. Building up on this, we present recent results and advances for the multi-loop renormalization of Abelian and non-Abelian chiral gauge theories, before concluding this article with a discussion on prospective implementations of the BMHV regularization in SM-like models.

Source: Loops and Legs in Quantum Field Theory (LL)

DOI: 10.22323/1.467.0022

Authors: Matthias Weißwange, Paul Kühler, Dominik Stöckinger

Institution: Technische Universität Dresden

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Deutsche Forschungsgemeinschaft

Award: G2881226330