### 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 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Standard model contribution to the electric dipole moment of the deuteron, <sup>3</sup>H, and <sup>3</sup>He nuclei'. Together they form a unique fingerprint.

## 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