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Gauge Invariance and Finite Counterterms in Chiral Gauge Theories
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abstract
We derive the finite one-loop counterterm required to restore the Ward Identities broken by the regularization scheme in chiral gauge theories. Our result is an analytic expression applicable to a wide class of regularizations satisfying a few general properties. We adopt the background field method, which ensures background gauge invariance in the quantized theory, and focus on renormalizable chiral theories with arbitrary gauge group and fermions in general representations. Our approach can be extended to theories involving scalars, such as the Standard Model, or to non-renormalizable theories, such as the SMEFT. As a concrete application, we work out the finite counterterm at one loop in the Standard Model, within dimensional regularization and the Breitenlohner-Maison-'t Hooft-Veltman prescription for $\gamma_5$.
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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