Isovector axial form factor of the nucleon from lattice QCD

Abstract

The isovector axial form factor of the nucleon plays a key role in interpreting data from long-baseline neutrino oscillation experiments. We perform a lattice-QCD based calculation of this form factor, introducing a new method to directly extract its z expansion from lattice correlators. Our final parametrization of the form factor, which extends up to spacelike virtualities of 0.7 GeV 2 with fully quantified uncertainties, agrees with previous lattice calculations but is significantly less steep than neutrino-deuterium scattering data suggests.