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Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Standard Model Parameters and Renormalization
Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow
M.D. Rizik,* C. Monahan, A. Shindler
*corresponding author
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Published on: 2019 May 29
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.
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