$\mathcal{T}$, $\mathcal{P}$-odd electron-nucleon interaction via a Higgs-boson exchange at the quark-gluon level
Abstract
The electron pseudoscalar -- nucleon scalar ,~-odd interaction within the framework of the Standard Model is considered as an exchange mediated by the Higgs boson at the quark-gluon level. violation is introduced through a phase factor in the Cabibbo-Kobayashi-Maskawa matrix, which characterizes the flavor structure of the quark loop. We explicitly demonstrate that the total three-loop contribution vanishes for the Higgs boson exchange mechanism. A nonzero contribution appears at the four-loop quark-gluon level only with the insertion of an additional gluon line between the quarks. The estimate of the -odd electron-nucleon interaction coupling constant after reduction of divergencies of the quark loop integral using the Glashow-Iliopoulos-Maiani (GIM) mechanism yields a value . The final result, expressed in terms of the equivalent electron electric dipole moment (EDM), is , and its order of magnitude coincides with that of the GIM estimate of the EDM at the quark-gluon level. Our parametric estimate of the EDM differs from previous studies by a factor that depends on the mass of the quark.
Keywords
Cite
@article{arxiv.2502.16243,
title = {$\mathcal{T}$, $\mathcal{P}$-odd electron-nucleon interaction via a Higgs-boson exchange at the quark-gluon level},
author = {D. V. Chubukov and I. A. Aleksandrov},
journal= {arXiv preprint arXiv:2502.16243},
year = {2025}
}