Quark chromomagnetic dipole operators encode low-energy effects of heavy particles on flavor observables related to neutral Kaon mixing or Kaon decays, for example. However, their renormalization on the lattice is complicated by the power-divergent mixing with lower-dimensional operators. The gradient flow provides a promising scheme to circumvent this problem. The matching to the MSbar scheme can be obtained by a perturbative calculation. In this talk, we report on the results for the matching coefficients through NNLO QCD and discuss the impact of these corrections on the theoretical precision.
Janosch Borgulat (RWTH Aachen University) Robert Harlander Matthew Rizik (Michigan State University) Andrea Shindler (Michigan State University)