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  • Letter
  • Open Access

Muon and electron g−2 and proton and cesium weak charges implications on dark Zd models

M. Cadeddu1,*, N. Cargioli2,1,†, F. Dordei1,‡, C. Giunti3,§, and E. Picciau2,1,∥

  • 1Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Cagliari, Complesso Universitario di Monserrato—S.P. per Sestu Km 0.700, 09042 Monserrato (Cagliari), Italy
  • 2Dipartimento di Fisica, Università degli Studi di Cagliari, Complesso Universitario di Monserrato—S.P. per Sestu Km 0.700, 09042 Monserrato (Cagliari), Italy
  • 3Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Torino, Via P. Giuria 1, I–10125 Torino, Italy

  • *matteo.cadeddu@ca.infn.it
  • †nicola.cargioli@ca.infn.it
  • ‡francesca.dordei@cern.ch
  • §carlo.giunti@to.infn.it
  • ∥emmanuele.picciau@ca.infn.it
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Phys. Rev. D 104, L011701 – Published 16 July, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L011701

Abstract

Theories beyond the standard model involving a sub-GeV-scale vector Zd mediator have been largely studied as a possible explanation of the experimental values of the muon and electron anomalous magnetic moments. Motivated by the recent determination of the anomalous muon magnetic moment performed at Fermilab, we derive the constraints on such a model obtained from the magnetic moment determinations and the measurements of the proton and cesium weak charge, QW, performed at low-energy transfer. In order to do so, we revisit the determination of the cesium QW from the atomic parity violation experiment, which depends critically on the value of the average neutron rms radius of Cs133, by determining the latter from a practically model-independent extrapolation from the recent average neutron rms radius of Pb208 performed by the PREX-2 Collaboration. From a combined fit of all the aforementioned experimental results, we obtain rather precise limits on the mass and the kinetic mixing parameter of the Zd boson, namely mZd=47−16+61  MeV and ϵ=2.3−0.4+1.1×10−3, when marginalizing over the Z−Zd mass mixing parameter δ.

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Phys. Rev. D 104, L011701– Published 16 July, 2021
  • Received 16 April 2021
  • Accepted 1 June 2021
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