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arXiv · 2412.13251

Renormalization-group equations of the LEFT at two loops: dimension-five effects

Luca Naterop·Peter Stoffer
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Abstract

We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with generic mass matrices, we employ the algebraically consistent 't Hooft-Veltman scheme for $\gamma_5$, and we correct for evanescent as well as chiral-symmetry-breaking effects by including the appropriate finite counterterms. We also provide results for the $CP$-even sector in a scheme that coincides with naive dimensional regularization. We discuss two methods to avoid the explicit construction of gauge-variant operators, which in principle are needed for the cancellation of sub-divergences, even in the background-field method. The two methods are consistent with each other and with existing partial results. Our work is a further step towards a complete EFT framework for physics beyond the Standard Model at next-to-leading-logarithmic accuracy.

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Luca Naterop, Peter Stoffer. 2024-12-17. Renormalization-group equations of the LEFT at two loops: dimension-five effects. https://doi.org/10.1007/jhep06(2025)007

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