English

Sum rules for CP-violating operators of Weinberg type

High Energy Physics - Phenomenology 2020-12-10 v6

Abstract

We estimate the size of the hadronic matrix elements of CP-violating three-gluon and four-gluon Weinberg operators using sum-rule techniques. In the three-gluon case, we are able to reproduce the expressions given in earlier works, while the four-gluon results obtained in this article are new. Our paper therefore represents the first systematic study of contributions to the electric dipole moment of the neutron due to CP-violating dimension-six and dimension-eight operators. We provide many details on both the derivation of the sum rules as well as the analysis of the uncertainties that plague our final predictions.

Keywords

Cite

@article{arxiv.1909.08955,
  title  = {Sum rules for CP-violating operators of Weinberg type},
  author = {Ulrich Haisch and Amando Hala},
  journal= {arXiv preprint arXiv:1909.08955},
  year   = {2020}
}

Comments

28 pages, 4 figures; v6: discussion on the proton electric dipole moment clarified

R2 v1 2026-06-23T11:20:11.539Z