English

One-loop matching of the $CP$-odd three-gluon operator to the gradient flow

High Energy Physics - Lattice 2023-11-17 v2 High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Theory

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 CPCP-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 CPCP-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