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Facts of life with gamma(5)
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The increasing precision of many experiments in elementary particle physics leads to continuing interest in perturbative higher order calculations in the electroweak Standard Model or extensions of it. Such calculations are of increasing complexity because more loops and/or more legs are considered. Correspondingly efficient computational methods are mandatory for many calculations. One problem which affects the feasibility of higher order calculations is the problem with gamma(5) in dimensional regularization. Since the subject thirty years after its invention is still controversial I advocate here some ideas which seem not to be common knowledge but might shed some new light on the problem. I present arguments in favor of utilizing an anticommuting gamma(5) and a simple 4-dimensional treatment of the hard anomalies.
Forward citations
Cited by 5 Pith papers
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Low-energy effective field theory below the electroweak scale: matching at one loop
The complete one-loop matching equations between the SMEFT and the low-energy EFT below the electroweak scale are derived up to dimension six, including CP-odd operators and theta-angle matching, for general flavor st...
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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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Renormalization-group equations of the LEFT at two loops: dimension-five effects
The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.
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Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
The two-loop anomalous dimensions for all dimension-six baryon-number-violating LEFT operators are derived in the 't Hooft-Veltman and naive dimensional regularization schemes.
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Gauge invariance and generalised $\eta$ regularisation
An extended η-regularisation formalism unifies dimensional, denominator, and Schwinger-proper-time regularisation as solutions of gauge consistency conditions, and reproduces the chiral anomaly when implemented with t...
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