Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for applied to chiral YM theories: full one-loop counterterm and RGE structure
Apr 29, 2020
71 pages
Published in:
- JHEP 08 (2020) 08, 024
- Published: Aug 6, 2020
e-Print:
- 2004.14398 [hep-ph]
Report number:
- ZTF-EP-20-01
View in:
Citations per year
Abstract: (Springer)
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 γ 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.Note:
- 71 pages; v2: references added, minor typos corrected. Formatted for JHEP submission
- Anomalies in Field and String Theories
- BRST Quantization
- Renormalization Group
- Renormalization Regularization and Renormalons
- field theory: scalar
- regularization: dimensional
- invariance: Becchi-Rouet-Stora
- gauge field theory: chiral
- renormalization: algebra
- invariance: gauge
References(102)
Figures(65)
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