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

2021/04/30 by M. Cadeddu, N. Cargioli, F. Dordei +2
Physics and Astronomy · #Muon #Nuclear physics #Nuclear physics research studies #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.104.l011701

published as Phys. Rev. D 104, 011701 (2021) · 6 pages, 5 figures. Matches version published in Physical Review D Letter

openalex created_date 2021/04/13 · openalex publication_date 2021/07/16 · arxiv created 2021/07/19 · arxiv updated 2021/07/21 · openalex updated_date 2026/08/05

Abstract

Theories beyond the standard model involving a sub-GeV-scale vector Z_d 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, Q_W, performed at low-energy transfer. In order to do so, we revisit the determination of the cesium Q_W from the atomic parity violation experiment, which depends critically on the value of the average neutron rms radius of ¹³³Cs, by determining the latter from a practically model-independent extrapolation from the recent average neutron rms radius of ²⁰⁸Pb 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 Z_d boson, namely m_Z_d=47_\ensuremath-16⁺⁶¹ MeV and ϵ=2.3_\ensuremath-0.4^+1.1\ifmmode×\else\texttimes\fi10^\ensuremath-3, when marginalizing over the Z\ensuremath-Z_d mass mixing parameter \ensuremathδ.

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