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Two-loop application of the Breitenlohner-Maison/'t Hooft-Veltman scheme with non-anticommuting $\gamma_5$: Full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
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abstract
We apply the BMHV scheme for non-anticommuting $\gamma_5$ to an abelian chiral gauge theory at the two-loop level. As our main result, we determine the full structure of symmetry-restoring counterterms up to the two-loop level. These counterterms turn out to have the same structure as at the one-loop level and a simple interpretation in terms of restoration of well-known Ward identities. In addition, we show that the ultraviolet divergences cannot be canceled completely by counterterms generated by field and parameter renormalization, and we determine needed UV divergent evanescent counterterms. The paper establishes the two-loop methodology based on the quantum action principle and direct computations of Slavnov-Taylor identity breakings. The same method will be applicable to nonabelian gauge theories.
Forward citations
Cited by 2 Pith papers
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Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme
First 4-loop BMHV renormalization of an Abelian chiral gauge theory, with explicit finite symmetry-restoring counterterms and an application to the SM fermionic sector.
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Constraining four-heavy-quark operators with top-quark, Higgs, and electroweak precision data
A combined fit of LHC and LEP data constrains the five four-heavy-quark Wilson coefficients, and shows that gamma5-scheme choices can shift the resulting bounds.
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