English

Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow

High Energy Physics - Lattice 2018-11-07 v1

Abstract

We use the Yang-Mills gradient flow to study the mixing of CP-violating pure gauge operators in continuum QCD with special attention to Weinberg's d=6 purely gluonic operator. The gradient flow allows for a relatively clear derivation of the Wilson coefficients of the CP-violating effective Hamiltonian. This calculation is the first step towards a high-energy matching of matrix elements involving the CP-violating operators between the perturbative and lattice regimes.

Keywords

Cite

@article{arxiv.1810.05637,
  title  = {Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow},
  author = {Matthew Rizik and Christopher Monahan and Andrea Shindler},
  journal= {arXiv preprint arXiv:1810.05637},
  year   = {2018}
}

Comments

7 pages, 1 figure, Proceedings from The 36th Annual International Symposium on Lattice Field Theory