Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

Abstract

We report on the use of Feynman-Hellmann techniques to calculate the off-forward Compton amplitude (OFCA) in lattice QCD. At leading-twist, the Euclidean OFCA is parameterised by the Mellin moments of generalised parton distributions (GPDs). Hence we extract GPD moments for two values of the soft momentum transfer, t=-1.10, -2.20\;GeV2 and zero-skewness kinematics at an unphysical pion mass of mπ≈ 470\;MeV. This includes the first determination of the n=4 moments.

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