QCD Corrections to Neutron Electric Dipole Moment from Dimension-six Four-Quark Operators

TL;DR

This paper derives renormalization-group equations for CP-violating four-quark operators at dimension six and applies them to models with scalar bosons to analyze their effects on the neutron electric dipole moment.

Contribution

It provides the first derivation of one-loop renormalization-group equations for flavor-conserving CP-violating four-quark operators at dimension six.

Findings

Renormalization-group equations for four-quark operators are established.

Application to scalar boson models shows their impact on neutron EDM.

Results help constrain CP-violating interactions in beyond Standard Model physics.

Abstract

In this paper, the renormalization-group equations for the (flavor-conserving) CP-violating interaction are derived up to the dimension six, including all the four-quark operators, at one-loop level. We apply them to the models with the neutral scalar boson or the color-octet scalar boson which have CP-violating Yukawa interactions with quarks, and discuss the neutron electric dipole moment in these models.