On the two-boson exchange corrections to parity-violating elastic electron-proton scattering

Abstract

The details of the calculation of the two-boson exchange effects in the parity-violating elastic $ep$ scattering within a simple hadronic model, including both the nucleon and $\Delta (1232)$-resonance intermediate states, are presented. We examine the sensitivity of our results with respect to choice of form factors. We emphasize the importance to use correct relations relating N to $\Delta$ and $\Delta$ to N transition vertex functions. The $N\Delta$ Coulomb quadrupole transition is found to play important role at higher $Q^2\ge 3.0$ GeV${}^2$. We also elucidate the relation between our results and the well-known result on the $\gamma ZE$ effect given by Marciano and Sirlin (MS). The effect of the nucleon contribution ${\delta }_N$ to parity-asymmetry $A_{PV}$, is found to be in general, larger than the corresponding $\Delta$ contribution ${\delta }_{\Delta }$ except at extreme forward angles. The corrections to the extracted values of the strange form factors $G_E^s+\beta G_M^s$ from the HAPPEX, A4, and G0 data are also presented. The total TBE corrections to the extracted values of $G_E^s+\beta G_M^s$ in recent experiments of HAPPEX G0, and A4 are, depending on kinematics, found to be small except in a few cases where they range from -20.6% to $48.3$.

35 pages, 9 figures, accepted by Phys.Rev. C

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• The P2 Experiment - A future high-precision measurement of the electroweak mixing angle at low momentum transfer
• $\Delta (1232)$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering Revisited
• Comparison of Neural Network and Hadronic Model Predictions of Two-Photon Exchange Effect
• Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory
• Strange Vector Form Factors from Parity-Violating Electron Scattering
• Two-photon exchange corrections to ${\gamma }^{\ast }N\Delta$ form factors for $Q^2\le 4$ (Gev/$c$)${}^2$
• Relevance of Two Boson Exchange Effect in Quasi-Elastic Charged Current Neutrino-Nucleon Interaction
• The strangeness form factors of the proton within nonrelativistic constituent quark model revisited
• Hadronic weak charges and parity-violating forward Compton scattering
• Two-Boson Exchange Physics: A Brief Review
• Super-Rosenbluth Measurements with Electrons and Positrons
• Proton strangeness form factors in (4,1) clustering configurations