Quark-hadron duality constraints on γZ box corrections to parity-violating elastic scattering

Abstract

We examine the interference γZ box corrections to parity-violating elastic electron--proton scattering in the light of the recent observation of quark-hadron duality in parity-violating deep-inelastic scattering from the deuteron, and the approximate isospin independence of duality in the electromagnetic nucleon structure functions down to Q^2 \approx 1 GeV^2. Assuming that a similar behavior also holds for the γZ proton structure functions, we find that duality constrains the γZ box correction to the proton's weak charge to be \Re e\, \square_{γZ}^V = (5.4 \pm 0.4) \times 10^{-3} at the kinematics of the Q_{\text{weak}} experiment. Within the same model we also provide estimates of the γZ corrections for future parity-violating experiments, such as MOLLER at Jefferson Lab and MESA at Mainz.

10 pages, 3 figures. Final version to be published in Phys. Lett. B

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• Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron Resonance Region Transverse Cross Sections
• Gamma-Z box contributions to parity violating elastic e-p scattering
• Proton Spin Structure in the Resonance Region
• The Qweak Experiment: A Search for New Physics at the TeV Scale via a Measurement of the Proton's Weak Charge
• Direct observation of quark-hadron duality in the free neutron F_2 structure function
• Hadronic gamma-Z box corrections in M\oller scattering

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