Neutron electric dipole moment constraint on scale of minimal left-right symmetric model

Abstract

Using an effective field theory approach, we calculate the neutron electric dipole moment (nEDM) in the minimal left-right symmetric model with both explicit and spontaneous CP violations. We integrate out heavy particles to obtain flavor-neutral CPviolating effective Lagrangian. We run the Wilson coefficients from the electroweak scale to the hadronic scale using one-loop renormalization group equations. Using the state-of-theart hadronic matrix elements, we obtain the nEDM as a function of right-handed W-boson mass and CP-violating parameters. We use the current limit on nEDM combined with the kaon-decay parameter ϵ to provide the most stringent constraint yet on the left-right symmetric scale $$M_{w_{R}}> (10 \pm 3) {\rm TeV} $$ .