Two- and three-loop anomalous dimensions of Weinberg's dimension-six CP-odd gluonic operator
Abstract
We apply a fully automated extension of the -operation capable of calculating higher-loop anomalous dimensions of n-point Green's functions of arbitrary, possibly non-renormalisable, local Quantum Field Theories. We focus on the case of the CP-violating Weinberg operator of the Standard Model Effective Field Theory whose anomalous dimension is so far known only at one loop. We calculate the two-loop anomalous dimension in full QCD and the three-loop anomalous dimensions in the limit of pure Yang-Mills theory. We find sizeable two-loop and large three-loop corrections, due to the appearance of a new quartic group invariant. We discuss phenomenological implications for electric dipole moments and future applications of the method.
Keywords
Cite
@article{arxiv.1907.04923,
title = {Two- and three-loop anomalous dimensions of Weinberg's dimension-six CP-odd gluonic operator},
author = {Jordy de Vries and Giulio Falcioni and Franz Herzog and Ben Ruijl},
journal= {arXiv preprint arXiv:1907.04923},
year = {2020}
}
Comments
New results included: two-loop anomalous dimension in full QCD, constraint on the Wilson coefficient with nEDM bounds. Included new section explaining the computational method