Abstract
We study nuclear electric dipole moments induced by ∆F = 1 effective operators in the Standard Model Effective Field Theory. Such contributions arise through renormalization group evolutions and matching conditions at the electroweak symmetry breaking scale. We provide one-loop formulae for the matching conditions. We also discuss correlations of these effects with ∆F = 2 observables such as ϵK and Delta {M}_{B_d} .
Highlights
JHEP04(2020)053 class of NP can induce EDMs through quark flavor-changing interactions by exchanging the W boson
We study nuclear electric dipole moments induced by ∆F = 1 effective operators in the Standard Model Effective Field Theory
At the EWSB scale, they are matched onto the effective operators in the low-scale effective field theory (LEFT) by integrating out W, Z, H and t
Summary
We provide formulae for evaluating the EDMs induced by flavor-changing operators. By decoupling NP particles, their contributions are encoded in higher dimensional operators in the SMEFT These operators are evolved by following the RGEs. Anomalous dimensions in the SMEFT are provided at the one-loop level in refs. We provide the one-loop matching formulae between the SMEFT ∆F = 1 operators and the LEFT ∆F = 0 CP -violating operators. At the EWSB scale, the SMEFT operators are matched to the LEFT operators The latter operators for EDMs are defined as LCPV =. F ABC is the structure constant, and mq is a mass for quark q These operators are mixed through the RGEs, which are found in refs. The SMEFT ∆F = 1 operators can generate ∆F = 0 amplitudes through the one-loop matching conditions at the EWSB scale.
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