2020
DOI: 10.48550/arxiv.2006.00281
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Quark level and hadronic contributions to the electric dipole moment of charged leptons in the standard model

Yasuhiro Yamaguchi,
Nodoka Yamanaka

Abstract: We evaluate the electric dipole moment (EDM) of charged leptons in the standard model, where the complex phase of the Cabibbo-Kobayashi-Maskawa matrix is the only source of CP violation. We first prove that, at the quark-gluon level, it is suppressed by a factor of m 2 b m 2 c m 2 s at all orders of perturbation due to the GIM mechanism. We then calculate the hadronic long distance contribution generated by vector mesons at one-loop level. The |∆S| = 1 weak hadronic interaction is derived using the factorizati… Show more

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Cited by 5 publications
(6 citation statements)
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“…From the CPT theorem, T-violation implies CP-violation. The SM predicts an electron EDM (eEDM) value, denoted by d e , of |d e | ∼ 10 −39 e cm [6,7], which falls far outside the range of values current experiments can probe. However, several beyond the SM (BSM) paradigms predict values of the eEDM that are many orders of magnitude larger, such as variants of the Supersymmetric (SUSY) model and the left-right symmetric model, which, depending on the parameters, can predict a value of the eEDM as large as |d e | ∼ 10 −27 e cm [8,9].…”
Section: Introductionmentioning
confidence: 81%
See 1 more Smart Citation
“…From the CPT theorem, T-violation implies CP-violation. The SM predicts an electron EDM (eEDM) value, denoted by d e , of |d e | ∼ 10 −39 e cm [6,7], which falls far outside the range of values current experiments can probe. However, several beyond the SM (BSM) paradigms predict values of the eEDM that are many orders of magnitude larger, such as variants of the Supersymmetric (SUSY) model and the left-right symmetric model, which, depending on the parameters, can predict a value of the eEDM as large as |d e | ∼ 10 −27 e cm [8,9].…”
Section: Introductionmentioning
confidence: 81%
“…We briefly touch upon the SM contribution to the paramagnetic systems induced by the CP phase of the CKM matrix. As mentioned in the Introduction, the electron EDM is small (d e ∼ 10 −39 e cm) [6,7]. The leading contribution to the paramagnetic systems is actually from the S-PS interaction (see Fig.…”
mentioning
confidence: 85%
“…The discovery of a non-vanishing electric dipole moment (EDM) of any fundamental particle in next generation experiments would unambiguously signal the existence of new sources of CP-violation beyond the Standard Model (SM) of particle physics. Indeed, many such models predict EDMs of elementary particles that are within reach of current experiments, with the SM contribution estimated to lie several orders of magnitude lower [1][2][3]. Such a discovery could supply a crucial ingredient towards solving the long standing problem of the origin of the cosmic baryon asymmetry [4,5].…”
Section: Introductionmentioning
confidence: 87%
“…is known to be unobservably small [91][92][93]. While the effect of the Weinberg operator to the nucleon EDM has already been evaluated [66,[94][95][96][97][98][99][100], its contribution to the CP-odd nuclear force, which is expected to be one of the leading effects to the atomic and nuclear EDMs, is less known.…”
Section: Introductionmentioning
confidence: 99%