• Open Access

Reduced uncertainty of the axial γZ-box diagram correction to the proton’s weak charge

Jens Erler, Mikhail Gorchtein, Oleksandr Koshchii, Chien-Yeah Seng, and Hubert Spiesberger
Phys. Rev. D 100, 053007 – Published 17 September 2019

Abstract

We present the fully up-to-date calculation of the γZ-box correction which needs to be taken into account to determine the weak mixing angle at low energies from parity-violating electron proton scattering. We make use of neutrino and antineutrino inclusive scattering data to predict the parity-violating structure function F3γZ by isospin symmetry. Our new analysis confirms previous results for the axial contribution to the γZ-box graph and reduces the uncertainty by a factor of 2. In addition, we note that the presence of parity-violating photon-hadron interactions induces an additional contribution via F3γγ. Using experimental and theoretical constraints on the nucleon anapole moment we are able to estimate the uncertainty associated with this contribution. We point out that future measurements are expected to significantly reduce this latter uncertainty.

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  • Received 24 July 2019

DOI:https://doi.org/10.1103/PhysRevD.100.053007

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Jens Erler1,2, Mikhail Gorchtein3, Oleksandr Koshchii1, Chien-Yeah Seng4,*, and Hubert Spiesberger1,5

  • 1PRISMA+ Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität, Mainz D-55099, Germany
  • 2Departamento de Física Teórica, Instituto de Física, Universidad Nacional Autónoma de México, 04510 CDMX, México
  • 3PRISMA+ Cluster of Excellence, Institut für Kernphysik, Johannes Gutenberg-Universität, Mainz D-55099, Germany
  • 4Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
  • 5Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch 7700, South Africa

  • *Corresponding author. cseng@hiskp.uni-bonn.de

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Issue

Vol. 100, Iss. 5 — 1 September 2019

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