Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory

Huang, Bo-Lin; Ou-Yang, Jing

doi:10.48550/arxiv.1911.00846

Cited by 2 publications

(2 citation statements)

References 53 publications

(84 reference statements)

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“…Its value is still under debate, phenomenological studies yielding σ πN ≈ 60 MeV [126,127] (see however Ref. [128] for a smaller prediction), whereas lattice QCD results point to a smaller value σ πN ≈ 30 MeV [28,30,129]. A recent lattice QCD analysis is suggesting that this discrepancy may come from the contamination of excited states with additional pions of the correlators computed on the lattice [130].…”

Section: Ope For the Weinberg Operator Correlatormentioning

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.

show abstract

Section: Ope For the Weinberg Operator Correlatormentioning

confidence: 99%

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

Osamura,

Gubler,

Yamanaka

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Its value is still under debate, phenomenological studies yielding σ πN ≈ 60 MeV [126,127] (see however ref. [128] for a smaller prediction), whereas lattice QCD results point to a smaller value σ πN ≈ 30 MeV [28,30,129]. A recent lattice QCD analysis is suggesting that this discrepancy may come from the contamination of excited states with additional pions of the correlators computed on the lattice [130].…”

Section: Jhep06(2022)072mentioning

confidence: 99%

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

Osamura

Gubler

Yamanaka

2022

J. High Energ. Phys.

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The contribution of the CP violating three-gluon Weinberg operator, $$ \frac{1}{3!}w{f}^{abc}{\epsilon}^{\nu \rho \alpha \beta}{G}_{\mu \nu}^a{G}_{\alpha \beta}^b{G}_{\rho}^{c\mu} $$ 1 3 ! w f abc ϵ νραβ G μν a G αβ b G ρ cμ , 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 199Hg, 129Xe, and 225Ra atoms, as well as those of 2H and 3He nuclei are finally given including comprehensive uncertainty analysis. While the leading contribution of the 199Hg EDM is given by the intrinsic nucleon EDM, that of 129Xe atom may be dominated by the one-pion exchange CP-odd nuclear force generated by the Weinberg operator. From current experimental data of the 199Hg atomic EDM, we obtain an upper limit on the Weinberg operator magnitude of |w| < 4 × 10−10GeV−2 if we assume that it is the only source of CP violation at the scale μ = 1 TeV.

show abstract

Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory

Cited by 2 publications

References 53 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

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

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