Twist-3 axial GPDs of the proton from lattice QCD

Abstract

In these proceedings, we summarize results from the first lattice-QCD calculation of the twist-3 axial quark GPDs for the proton using the large-momentum effective theory approach. The calculation is performed using one 𝑁 𝑓 = 2 + 1 + 1 ensemble of maximally twisted mass fermions with a clover term, that has a volume 32 3 × 64, lattice spacing 0.0934 fm, and a pion mass of 260 MeV. The momentum boost of the nucleon matrix elements is 0.83, 1.25, and 1.67 GeV, and the 4-vector momentum transfer squared is 0.69, 1.38, and 2.76 GeV 2 . We perform a number of consistency checks, such as the Burkhardt-Cottingham-type as well as Efremov-Teryaev-Leadertype sum rules.