Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit

Understand

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit.

• These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the flavour non-singlet Wilson operators of deep inelastic scattering and moment n = 2 of the transversity operator, as well as the correlation functions of the latter operators with themselves.
• The explicit values of these gauge independent correlation functions are required to assist with non-perturbative matching to lattice regularized calculations of the same quantities.
• As part of the computation we determine the mixing matrix of renormalization constants of these non-singlet currents with their associated total derivative operators at the same twist to three loops in MSbar.