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Impact of the Electroweak Weinberg Operator on the Electric Dipole Moment of Electron
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Impact of the Electroweak Weinberg Operator on the Electric Dipole Moment of Electron
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Recent progresses in the measurements of the electric dipole moment (EDM) of the electron using the paramagnetic atom or molecule are remarkable. In this paper, we calculate a contribution to the electron EDM at three-loop level, introducing the CP-violating Yukawa couplings of new SU(2)$_L$ multiplets. At two-loop level, the Yukawa interactions generate a CP-violating dimension-six operator, composed of three SU(2)$_L$ field strengths, called the electroweak Weinberg operator. Another one-loop diagram with the operator inserted induces the electron EDM. We find that even if new SU(2)$_L$ particles have masses around TeV-scale, the electron EDM may be larger than the Standard Model contribution to the paramagnetic atom or molecule EDMs. We also discuss the relation between the Barr-Zee diagram contribution at two-loop level and the three-loop one, assuming that the SM Higgs has new Yukawa interactions with the SU(2)$_L$ multiplets.
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Cited by 1 Pith paper
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Full Three-Loop Electroweak Multiplet Contributions to the Electron Electric Dipole Moment
The full three-loop electron EDM from CP-violating SU(2)_L multiplet Yukawa interactions is exactly three times larger (at leading order) than the electroweak-Weinberg operator contribution alone.
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