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arXiv · 1901.02749

Weyl Consistency Conditions and $\gamma_{5}$

C. Poole·A. E. Thomsen
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Abstract

The treatment of $\gamma_{5}$ in Dimensional Regularization leads to ambiguities in field-theoretic calculations, of which one example is the coefficient of a particular term in the four-loop gauge $\beta$-functions of the Standard Model. Using Weyl Consistency Conditions, we present a scheme-independent relation between the coefficient of this term and a corresponding term in the three-loop Yukawa $\beta$-functions, where a semi-na\"ive treatment of $\gamma_{5}$ is sufficient, thereby fixing this ambiguity. We briefly outline an argument by which the same method fixes similar ambiguities at higher orders.

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C. Poole, A. E. Thomsen. 2019-01-09. Weyl Consistency Conditions and $\gamma_{5}$. https://doi.org/10.1103/physrevlett.123.041602

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