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  • Letter
  • Open Access

Effects of dispersion parity-violating interaction in electron scattering and atoms

V. V. Flambaum* and I. B. Samsonov†

  • *Contact author: v.flambaum@unsw.edu.au
  • †Contact author: igor.samsonov@unsw.edu.au
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Phys. Rev. D 114, L011302 – Published 6 July, 2026

DOI: https://doi.org/10.1103/cb8l-bt9n

Abstract

Exchange of two neutrinos (as well as other fermions) generates a long-range parity-violating potential of the form ∼G2/r5, with characteristic range ℏ/(2mνc). In atomic systems the corresponding matrix elements converge at distances r<10/MZ, so that the interaction between electron and quarks effectively reduces to a contact term ∼G2MZ2δ3(r→)∼Gαδ3(r→). This interaction produces a −0.8% correction to the effective weak charge of cesium, resolving the 2σ discrepancy between the Standard Model prediction and the measured Cs parity-violation amplitude. The corresponding value of the weak mixing angle is sin2θW=0.2375(19) at q2≈0, in agreement with the Standard Model prediction sin2θW=0.23873. The relative correction to the proton weak charge is about 3%. Using these results, we revisit the limits on an additional Z′ boson and obtain a constraint on isospin-conserving oblique radiative corrections characterized by the Peskin–Takeuchi parameter S=−0.32(53) at q2≈0.

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Phys. Rev. D 114, L011302– Published 6 July, 2026
  • Received 15 March 2026
  • Accepted 11 June 2026
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