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arXiv · 2507.08926

Renormalization-group equations of the LEFT at two loops: dimension-six operators

Luca Naterop·Peter Stoffer
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Abstract

We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In line with our previous publications, we obtain the results in the algebraically consistent 't Hooft-Veltman scheme for $\gamma_5$, corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations. We compute the renormalization of the dimension-six four-fermion and three-gluon operators, as well as the power corrections to lower-dimension operators in the presence of masses, i.e., the down-mixing into dimension-five dipole operators, masses, gauge couplings, and theta terms. Our results are of interest for a broad range of low-energy precision searches for physics beyond the Standard Model.

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Luca Naterop, Peter Stoffer. 2025-07-11. Renormalization-group equations of the LEFT at two loops: dimension-six operators. https://doi.org/10.1007/jhep02(2026)016

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