Weak Neutral-Current Axial-Vector Form Factor and Neutrino-Nucleon Scattering

We perform a phenomenological analysis, where we combine a calculation of the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section data from MiniBooNE experiments to determine the weak axial-vector form factor $G_A^Z(Q^2)$. We show that the precise value of $G_A^Z(0)$ obtained from the lattice calculation greatly improves the precision of the form factor extraction. Finally, we show that a consistent determination of the form factor from neutrino and anti-neutrino scattering data requires a non-zero contribution from the strange quark EM form factor in the neutral current scattering process.