### Abstract

Abstract: We calculate for the first time the electric dipole moment (EDM) of the deuteron, ^{3}H, and ^{3}He nuclei generated by the one-meson exchange CP-odd nuclear force in the standard model. The effective |ΔS| = 1 four-quark operators are matched to the |ΔS| = 1 standard model processes involving the CP phase of the Cabibbo-Kobayashi-Maskawa matrix at the electroweak scale and run down to the hadronic scale μ = 1 GeV according to the renormalization group evolution in the next-to-leading logarithmic order. At the hadronic scale, the hadron matrix elements are modeled in the factorization approach. We then obtain the one-meson (pion, eta meson, and kaon) exchange CP-odd nuclear force, which is the combination of the |ΔS| = 1 meson-baryon vertices which issue from the penguin operator and the hyperon-nucleon transition. From this CP-odd nuclear force, the nuclear EDM is calculated with the realistic Argonne v18 interaction and the CP-odd nuclear force using the Gaussian expansion method. It is found that the EDMs of light nuclear systems are of order O (10^{−31})e cm. We also estimate the standard model contribution to other hadronic CP violating observables such as the EDMs of ^{6}Li, ^{9}Be nuclei, and the atomic EDMs of ^{129}Xe, ^{199}Hg, ^{211}Rn, and ^{225}Ra generated through the nuclear Schiff moment. We then analyze the source of theoretical uncertainties and show some possible ways to overcome them.

Original language | English |
---|---|

Article number | 67 |

Pages (from-to) | 1-50 |

Number of pages | 50 |

Journal | Journal of High Energy Physics |

Volume | 2016 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 1 2016 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

^{3}H, and

^{3}He nuclei.

*Journal of High Energy Physics*,

*2016*(2), 1-50. [67]. https://doi.org/10.1007/JHEP02(2016)067

**Standard model contribution to the electric dipole moment of the deuteron, ^{3}H, and ^{3}He nuclei.** / Yamanaka, Nodoka; Hiyama, Emiko.

Research output: Contribution to journal › Article

^{3}H, and

^{3}He nuclei',

*Journal of High Energy Physics*, vol. 2016, no. 2, 67, pp. 1-50. https://doi.org/10.1007/JHEP02(2016)067

^{3}H, and

^{3}He nuclei. Journal of High Energy Physics. 2016 Feb 1;2016(2):1-50. 67. https://doi.org/10.1007/JHEP02(2016)067

}

TY - JOUR

T1 - Standard model contribution to the electric dipole moment of the deuteron, 3H, and 3He nuclei

AU - Yamanaka, Nodoka

AU - Hiyama, Emiko

PY - 2016/2/1

Y1 - 2016/2/1

N2 - Abstract: We calculate for the first time the electric dipole moment (EDM) of the deuteron, 3H, and 3He nuclei generated by the one-meson exchange CP-odd nuclear force in the standard model. The effective |ΔS| = 1 four-quark operators are matched to the |ΔS| = 1 standard model processes involving the CP phase of the Cabibbo-Kobayashi-Maskawa matrix at the electroweak scale and run down to the hadronic scale μ = 1 GeV according to the renormalization group evolution in the next-to-leading logarithmic order. At the hadronic scale, the hadron matrix elements are modeled in the factorization approach. We then obtain the one-meson (pion, eta meson, and kaon) exchange CP-odd nuclear force, which is the combination of the |ΔS| = 1 meson-baryon vertices which issue from the penguin operator and the hyperon-nucleon transition. From this CP-odd nuclear force, the nuclear EDM is calculated with the realistic Argonne v18 interaction and the CP-odd nuclear force using the Gaussian expansion method. It is found that the EDMs of light nuclear systems are of order O (10−31)e cm. We also estimate the standard model contribution to other hadronic CP violating observables such as the EDMs of 6Li, 9Be nuclei, and the atomic EDMs of 129Xe, 199Hg, 211Rn, and 225Ra generated through the nuclear Schiff moment. We then analyze the source of theoretical uncertainties and show some possible ways to overcome them.

AB - Abstract: We calculate for the first time the electric dipole moment (EDM) of the deuteron, 3H, and 3He nuclei generated by the one-meson exchange CP-odd nuclear force in the standard model. The effective |ΔS| = 1 four-quark operators are matched to the |ΔS| = 1 standard model processes involving the CP phase of the Cabibbo-Kobayashi-Maskawa matrix at the electroweak scale and run down to the hadronic scale μ = 1 GeV according to the renormalization group evolution in the next-to-leading logarithmic order. At the hadronic scale, the hadron matrix elements are modeled in the factorization approach. We then obtain the one-meson (pion, eta meson, and kaon) exchange CP-odd nuclear force, which is the combination of the |ΔS| = 1 meson-baryon vertices which issue from the penguin operator and the hyperon-nucleon transition. From this CP-odd nuclear force, the nuclear EDM is calculated with the realistic Argonne v18 interaction and the CP-odd nuclear force using the Gaussian expansion method. It is found that the EDMs of light nuclear systems are of order O (10−31)e cm. We also estimate the standard model contribution to other hadronic CP violating observables such as the EDMs of 6Li, 9Be nuclei, and the atomic EDMs of 129Xe, 199Hg, 211Rn, and 225Ra generated through the nuclear Schiff moment. We then analyze the source of theoretical uncertainties and show some possible ways to overcome them.

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U2 - 10.1007/JHEP02(2016)067

DO - 10.1007/JHEP02(2016)067

M3 - Article

VL - 2016

SP - 1

EP - 50

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

M1 - 67

ER -