PIRSA:22070001

# Gauge Invariance and Finite Counterterms in Chiral Gauge Theories

### APA

Cornella, C. (2022). Gauge Invariance and Finite Counterterms in Chiral Gauge Theories. Perimeter Institute. https://pirsa.org/22070001

### MLA

Cornella, Claudia. Gauge Invariance and Finite Counterterms in Chiral Gauge Theories. Perimeter Institute, Jul. 12, 2022, https://pirsa.org/22070001

### BibTex

```          @misc{ pirsa_22070001,
doi = {},
url = {https://pirsa.org/22070001},
author = {Cornella, Claudia},
keywords = {Particle Physics},
language = {en},
title = {Gauge Invariance and Finite Counterterms in Chiral Gauge Theories},
publisher = {Perimeter Institute},
year = {2022},
month = {jul},
note = {PIRSA:22070001 see, \url{https://pirsa.org}}
}
```

Claudia Cornella Johannes Gutenberg University Mainz

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## Abstract

Any consistent regularization scheme induces an apparent violation of gauge invariance in non-anomalous chiral gauge theories. This violation shows up in perturbative calculations, and can be removed by including appropriate finite counterterms. In this talk I will discuss the derivation of such counterterms for a renormalizable chiral gauge theory.  I will use the background field method, which ensures background gauge invariance in the quantized theory. As a concrete application, I will show the finite counterterm at one loop in the Standard Model, within dimensional regularization and the Breitenlohner-Maison-'t Hooft-Veltman prescription for gamma5.