Next-to-Leading-Order QCD Predictions for the $\Sigma$ Dirac Form Factors

Abstract

In this work, we compute the next-to-leading-order QCD corrections to the Dirac electromagnetic form factors of the $\Sigma$ hyperons within the hard-collinear factorization framework at leading power. The corresponding short-distance coefficient functions are extracted from the relevant seven-point partonic correlation functions. We find that the one-loop radiative corrections to the leading-twist hard-scattering contributions are numerically significant over a broad range of momentum transfer. Combining the perturbatively calculated hard kernels with nonperturbative $\Sigma$ distribution amplitudes determined from lattice QCD, we present state-of-the-art theoretical predictions for the $\Sigma$ hyperon electromagnetic form factors.