Resonance Region Structure Functions and Parity Violating Deep Inelastic Scattering

TL;DR

This paper investigates the structure functions relevant to parity violating deep inelastic scattering in the resonance region, comparing different models and highlighting discrepancies that impact weak charge calculations.

Contribution

It provides predictions for asymmetry values using various models of off-diagonal structure functions and assesses their differences in the resonance region.

Findings

Notable disagreements among models for structure functions

Implications for the calculation of the $b1 Z$-box correction

Highlights need for direct data on $F_{1,2,3}^{b1 Z}(x,Q^2)$

Abstract

The primary motive of parity violating deep inelastic scattering experiments has been to test the standard model, particularly the axial couplings to the quarks, in the scaling region. The measurements can also test for the validity of models for the off-diagonal structure functions $F_{1,2,3}^{\gamma Z}(x,Q^2)$ in the resonance region. The off-diagonal structure functions are important for the accurate calculation of the $\gamma Z$-box correction to the weak charge of the proton. Currently, with no data to determine $F_{1,2,3}^{\gamma Z}(x,Q^2)$ directly, models are constructed by modifying existing fits to electromagnetic data. We present the asymmetry value for deuteron and proton target predicted by several different $F_{1,2,3}^{\gamma Z}(x,Q^2)$ models, and demonstrate that there are notable disagreements.