One-loop matching of the $CP$-odd three-gluon operator to the gradient flow
Abstract
The calculation of the neutron electric dipole moment within effective field theories for physics beyond the Standard Model requires non-perturbative hadronic matrix elements of effective operators composed of quark and gluon fields. In order to use input from lattice computations, these matrix elements must be translated from a scheme suitable for lattice QCD to the minimal-subtraction scheme used in the effective-field-theory framework. The accuracy goal in the context of the neutron electric dipole moment necessitates at least a one-loop matching calculation. Here, we provide the one-loop matching coefficients for the -odd three-gluon operator between two different minimally subtracted 't Hooft-Veltman schemes and the gradient flow. This completes our program to obtain the one-loop gradient-flow matching coefficients for all -violating and flavor-conserving operators in the low-energy effective field theory up to dimension six.
Keywords
Cite
@article{arxiv.2308.16221,
title = {One-loop matching of the $CP$-odd three-gluon operator to the gradient flow},
author = {Òscar L. Crosas and Christopher J. Monahan and Matthew D. Rizik and Andrea Shindler and Peter Stoffer},
journal= {arXiv preprint arXiv:2308.16221},
year = {2023}
}
Comments
6 pages, 4 figures; version published in PLB