Scalars that carry lepton number can help mediate would-be lepton-number-violating processes, such as neutrinoless double β decay or lepton-scattering-mediated nucleon-antinucleon conversion. Here we show that such new scalars can also solve the anomaly in precision determinations of the fine-structure constant α from atom interferometry and from the electron's anomalous magnetic moment, ae≡(g−2)e/2, by reducing ∣ae∣. Study of the phenomenological constraints on these solutions favor a doubly-charged scalar with mass below the GeV scale. Significant constraints arise from the measurement of the parity-violating asymmetry in M{\o}ller scattering, and we consider the implications of the next-generation MOLLER experiment at Jefferson Laboratory and of an improved ae measurement.
@article{arxiv.1907.12571,
title = {LIght scalars with lepton number to solve the $(g-2)_e$ anomaly},
author = {Susan Gardner and Xinshuai Yan},
journal= {arXiv preprint arXiv:1907.12571},
year = {2020}
}
Comments
26 pages, 4 figures; detailed analysis of collider constraints and model adjustment added, conclusions unchanged; refs and ack added