prikaz prve stranice dokumenta Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure
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Scientific paper - Original scientific paper
Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure
Journal of High Energy Physics, 2020 (2020), 8; 024. https://doi.org/10.1007/JHEP08(2020)024
Bélusca-Maïto, Hermès; Ilakovac, Amon; Mađor-Božinović, Marija; Stöckinger, Dominik

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Bélusca Maïto, H., Ilakovac, A., Mađor Božinović, M. & Stöckinger, D. (2020). Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure. Journal of High Energy Physics, 2020. (8). doi: 10.1007/JHEP08(2020)024

Bélusca Maïto, Hermès, et al. "Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure." Journal of High Energy Physics, vol. 2020, no. 8, 2020. https://doi.org/10.1007/JHEP08(2020)024

Bélusca Maïto, Hermès, Amon Ilakovac, Marija Mađor Božinović and Dominik Stöckinger. "Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure." Journal of High Energy Physics 2020, no. 8 (2020). https://doi.org/10.1007/JHEP08(2020)024

Bélusca Maïto, H., et al. (2020) 'Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure', Journal of High Energy Physics, 2020(8). doi: 10.1007/JHEP08(2020)024

Bélusca Maïto H, Ilakovac A, Mađor Božinović M, Stöckinger D. Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure. Journal of High Energy Physics [Internet]. 2020 August 06 [cited 2024 December 19];2020(8). doi: 10.1007/JHEP08(2020)024

H. Bélusca Maïto, A. Ilakovac, M. Mađor Božinović and D. Stöckinger, "Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure", Journal of High Energy Physics, vol. 2020, no. 8, August 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:062828. [Accessed: 19 December 2024]

Metadata
Title (english)Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ5 applied to chiral YM theories: full one-loop counterterm and RGE structure
AuthorHermès Bélusca-Maïto
AuthorAmon Ilakovac
AuthorMarija Mađor-Božinović
AuthorDominik Stöckinger
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleJournal of High Energy Physics
Numberingvol. 2020, no. 8, 024
p-ISSN1126-6708
e-ISSN1029-8479
DOIhttps://doi.org/10.1007/JHEP08(2020)024
URN:NBNurn:nbn:hr:217:062828
Publication2020-08-06
ProjectNumber: IP-2016-06-7460
Title (croatian): Precizni izračuni fizikalnih veličina u supersimetričnim modelima fizike čestica
Acronym: PRECIOUS
Leader: Amon Ilakovac
Jurisdiction: Croatia
Funding stream: IP
ProjectNumber: IP-2013-11-8799
Title (croatian): Tvar i međudjelovanja na ubrzivačima i u svemiru
Acronym: MIAU
Leader: Krešimir Kumerički
Jurisdiction: Croatia
Funding stream: IP
Document URLhttp://link.springer.com/10.1007/JHEP08(2020)024
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Public noteOpen 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.
Created on2020-11-20 18:32:07