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

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.

31 pages, 1 figure, 3 tables, 1491 diagrams, version published in JHEP

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Cited by in corpus (4)

• Renormalization-group equations of the LEFT at two loops: dimension-six operators
• Constraints on lepton-flavor mixing with third-generation new physics
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting ${\gamma }_5$
• One-loop matching of the LEFT to the QCD gradient flow