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

Znanstveni rad - Izvorni znanstveni rad

• Autor: Hermès Bélusca-Maïto
• Autor: Amon Ilakovac
• Autor: Marija Mađor-Božinović
• Autor: Dominik Stöckinger
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

We study the application of the Breitenlohner-Maison-’t Hooft-Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of chiral gauge theories, focusing on the specific counterterm structure required by the non-anticommuting Dirac γ5 matrix and the breaking of the BRST invariance. Calculations are performed at the one-loop level in a massless chiral Yang-Mills theory with chiral fermions and real scalar fields. We discuss the setup and properties of the regularized theory in detail. Our central results are the full counterterm structures needed for the correct renormalization: the singular UV-divergent counterterms, including evanescent counterterms that have to be kept for consistency of higher-loop calculations.

We find that the required singular, evanescent counterterms associated with vector and scalar fields are uniquely determined but are not gauge invariant. Furthermore, using the framework of algebraic renormalization, we determine the symmetry-restoring finite counterterms, that are required to restore the BRST invariance, central to the consistency of the theory. These are the necessary building blocks in one-loop and higher-order calculations.

Finally, renormalization group equations are derived within this framework, and the derivation is compared with the more customary calculation in the context of symmetry-invariant regularizations. We explain why, at one-loop level, the extra BMHV-specific counterterms do not change the results for the RGE. The results we find complete those that have been obtained previously in the literature in the absence of scalar fields.

• Ključne riječi (engleski): Anomalies in Field and String Theories; BRST Quantization; Renormalization Group; Renormalization Regularization and Renormalons
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Journal of High Energy Physics
• Brojčani podaci: vol. 2020, br. 8, 024
• p-ISSN: 1126-6708
• e-ISSN: 1029-8479
• DOI: https://doi.org/10.1007/JHEP08(2020)024
• URN:NBN: urn:nbn:hr:217:062828
• Datum objave publikacije: 2020-08-06
• Projekt: Šifra: IP-2016-06-7460; Naziv (hrvatski): Precizni izračuni fizikalnih veličina u supersimetričnim modelima fizike čestica; Kratica: PRECIOUS; Voditelj: Amon Ilakovac; Pravna nadležnost: Hrvatska; Financijer: HRZZ; Linija financiranja: IP
• Projekt: Šifra: IP-2013-11-8799; Naziv (hrvatski): Tvar i međudjelovanja na ubrzivačima i u svemiru; Kratica: MIAU; Voditelj: Krešimir Kumerički; Pravna nadležnost: Hrvatska; Financijer: HRZZ; Linija financiranja: IP
• URL dokumenta: http://link.springer.com/10.1007/JHEP08(2020)024
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: May 22, 2020. Accepted: June 30, 2020. Published: August 6, 2020.
• Datum i vrijeme pohrane: 2020-11-20 18:32:07