Neutral Weak Form Factors of Proton and Neutron

TL;DR

This paper combines light-front holographic QCD and lattice QCD to accurately determine the neutral weak electromagnetic form factors of protons and neutrons, providing new insights into their internal structure and strange quark contributions.

Contribution

It introduces a novel approach that integrates holographic QCD and lattice QCD to compute nucleon neutral weak form factors across a range of momentum transfers.

Findings

Good parametrization of electromagnetic form factors across all momentum transfers.

Precise estimates of neutral weak form factors for $0 \,\text{GeV}^2 \leq Q^2 \leq 0.5 \,\text{GeV}^2$.

Detailed $Q^2$-dependence of strange quark form factors.

Abstract

We determine the nucleon neutral weak electromagnetic form factors $G^{Z,p(n)}_{E,M}$ by combining results from light-front holographic QCD and lattice QCD calculations. We deduce nucleon electromagnetic form factors from light-front holographic QCD which provides a good parametrization of the experimental data of the nucleon electromagnetic form factors in the entire momentum transfer range and isolate the strange quark electromagnetic form factors $G^{s}_{E,M}$ using lattice QCD. From these calculations, we obtain precise estimates of the neutral weak form factors in the momentum transfer range of $0\,\text{GeV}^2\leq Q^2 \leq 0.5 \,\text{GeV}^2 $. From the lattice QCD calculation, we present $Q^2$-dependence of the strange quark form factors. We also deduce the neutral weak Dirac and Pauli form factors $F_{1,2}^{Z,p(n)}$ of the proton and the neutron.