Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum

Weiss, C.

doi:10.48550/arxiv.2103.13471

Cited by 2 publications

(2 citation statements)

References 36 publications

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“…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%

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Osamura,

Gubler,

Yamanaka

2022

Preprint

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The contribution of the CP violating three-gluon Weinberg operator, 1 3! w f abc νραβ G a µν G b αβ G cµ ρ , to the atomic and nuclear EDMs is estimated using QCD sum rules. After calculating the transition matrix element between the pion and the vacuum through the Weinberg operator, we obtain the long-range CP-odd nuclear force by determining the isovector CP-odd pion-nucleon vertex, using chiral perturbation theory at NLO. The EDMs of 199 Hg, 129 Xe, 225 Ra, 2 H, and 3 He are finally given including comprehensive uncertainty analysis. While the leading contribution of the 199 Hg EDM is given by the intrinsic nucleon EDM, that of 129 Xe atom may be dominated by the one-pion exchange CP-odd nuclear force generated by the Weinberg operator. From current experimental data of the 199 Hg atomic EDM, we obtain an upper limit on the Weinberg operator magnitude of |w| < 4×10 −10 GeV −2 if we assume that it is the only source of CP violation at the scale µ = 1 TeV.

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Section: Introductionmentioning

confidence: 99%

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Osamura,

Gubler,

Yamanaka

2022

Preprint

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“…Here w is expressed in the unit of GeV −2 . There are also other interesting approaches, such as the analysis of higher twist contribution of the parton distribution functions [97,98], instanton models [99], etc. The most promising way is to use lattice QCD, but quantitative results are not yet available [100][101][102][103].…”

Section: Introductionmentioning

confidence: 99%

Weinberg operator contribution to the CP-odd nuclear force in the quark model

Yamanaka¹,

Oka²

2022

Preprint

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The contribution of the CP violating three-gluon interaction, proposed by Weinberg, to the shortrange CP-odd nuclear force is evaluated in the nonrelativistic quark model. We first show that the naive leading contribution generated by the quark exchange process vanishes at sufficiently short distance within the resonating group method, by considering the one-loop level gluon exchange CP-odd interquark potential induced by the Weinberg operator with massive quarks and gluons. We then estimate the true leading contribution by evaluating the gluonic correction to the CP-odd interquark potential in the closure approximation. It is found that the resulting irreducible CP-odd nuclear force is comparable to that generated by the chiral rotation of the CP-even short-range nuclear force, where the CP-odd mass calculated with QCD sum rules is used as input. The explicit calculation of the electric dipole moment (EDM) of the 3 He nucleus yields d (irr)3 He (w) = −1.5 w e MeV. The total 3 He EDM, accounting for the intrinsic nucleon EDM, the pion-exchange and the shortrange CP-odd nuclear force, is d (tot)3 He (w) = 20 +14 −11 w e MeV, with the dominant effect coming from the intrinsic nucleon EDM.

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Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum

Cited by 2 publications

References 36 publications

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Weinberg operator contribution to the CP-odd nuclear force in the quark model

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