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arXiv · 2607.17440

Relative enhancement of low-mass vector-boson exchange in higher waves matrix elements: parity non-conservation in hydrogen

V. A. Dzuba·V. V. Flambaum·G. K. Vong
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Abstract

Models of unification predict additional $Z'$ boson, which contributes to parity non-conservation (PNC) in atoms. If $Z'$ boson is light, ratio of $Z'$ boson contribution to the Standard Model $Z$ boson contribution to atomic PNC increases with decreasing nuclear charge $Z$ faster than $1/Z^2$. This motivated our previous study of PNC in hydrogen and deuterium proportional to the weak interaction matrix elements $ $. An enormous additional relative enhancement appears in the matrix elements between higher waves, such as $ $, since $p_{3/2}$ and $d_{3/2,5/2}$ wave functions vanish at $r \to 0$, suppressing matrix elements of the contact $Z$ boson mediated contact electron-nucleus interaction. Measurements of $ $ will simplify disentanglement of the $Z'$ contribution from the Standard Model background.

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V. A. Dzuba, V. V. Flambaum, G. K. Vong. 2026-07-19. Relative enhancement of low-mass vector-boson exchange in higher waves matrix elements: parity non-conservation in hydrogen. https://arxiv.org/abs/2607.17440

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