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

Luca Naterop, Peter Stoffer

2025Journal of High Energy Physics9 citationsDOIOpen Access PDF

Abstract

A bstract We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power counting. We obtain the results in two different schemes: in the algebraically consistent ’t Hooft-Veltman scheme for γ 5 , corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations; and in naive dimensional regularization, which in the considered sector of the theory does not lead to any ill-defined γ 5 -odd traces. Our results are of interest for a reanalysis of the constraints on physics beyond the Standard Model from proton-decay searches within an EFT framework at next-to-leading-logarithmic accuracy.

Topics & Concepts

PhysicsRenormalization groupBaryon numberParticle physicsCritical dimensionMathematical physicsDimension (graph theory)Functional renormalization groupBaryonGroup (periodic table)Theoretical physicsQuantum electrodynamicsQuantum mechanicsCombinatoricsMathematicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsDark Matter and Cosmic Phenomena