Electric dipole moment constraints on CP-violating heavy-quark Yukawas at next-to-leading order

TL;DR

This paper calculates the two-loop QCD effects on CP-violating heavy-quark Yukawas and updates experimental constraints based on electric dipole moment measurements.

Contribution

It provides the complete two-loop QCD anomalous dimension matrix for CP-odd operators and applies it to constrain CP violation in heavy-quark Yukawas.

Findings

Large shifts in Wilson coefficients at NLL order.

Updated bounds on CP-violating phases in bottom and charm Yukawas.

Enhanced sensitivity of EDM measurements to heavy-quark CP violation.

Abstract

Electric dipole moments are sensitive probes of new phases in the Higgs Yukawa couplings. We calculate the complete two-loop QCD anomalous dimension matrix for the mixing of CP-odd scalar and tensor operators and apply our results for a phenomenological study of CP violation in the bottom and charm Yukawa couplings. We find large shifts of the induced Wilson coefficients at next-to-leading-logarithmic order. Using the experimental bound on the electric dipole moment of the neutron, we update the constraints on CP-violating phases in the bottom and charm quark Yukawas.