Electroweak Radiative Corrections to Parity-Violating Electroexcitation of the $\Delta$

Abstract

We analyze the degree to which parity-violating (PV) electroexcitation of the $\Delta (1232)$ resonance may be used to extract the weak neutral axial vector transition form factors. We find that the axial vector electroweak radiative corrections are large and theoretically uncertain, thereby modifying the nominal interpretation of the PV asymmetry in terms of the weak neutral form factors. We also show that, in contrast to the situation for elastic electron scattering, the axial $N\to \Delta$ PV asymmetry does not vanish at the photon point as a consequence of a new term entering the radiative corrections. We argue that an experimental determination of these radiative corrections would be of interest for hadron structure theory, possibly shedding light on the violation of Hara's theorem in weak, radiative hyperon decays.

RevTex, 76 pages

References in corpus (5)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Parity Violating Photoproduction of ${\pi }^{\pm }$ on the $\Delta$ Resonance
• Parity-Violating Pion-Nucleon Coupling h_{πNN}^{(1)} from π^+ Electroproton Production Near the Threshold
• Subleading corrections to parity violating pion photoproduction
• A Measurement of the Branching Ratio and Asymmetry of the Decay Cascade^0-->Sigma^0/gamma

Cited by in corpus (8)

• Hadronic Parity Violation: a New View through the Looking Glass
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Measurement of the parity-violating asymmetry in inclusive electroproduction of ${\pi }^{-}$ near the ${\Delta }^0$ resonance
• Hadronic weak charges and parity-violating forward Compton scattering
• The Δcontribution to the parity-violating nucleon-nucleon force
• Masses of Fermions in Supersymmetric Models