Three loop renormalization of 3-quark operators in QCD

Understand

We compute the three loop MSbar anomalous dimension for the 3-quark operator corresponding to the proton.

• This requires the treatment of gamma^5 within dimensional regularization as well as evanescent operators generated through the renormalization.
• We extend the Larin scheme for gamma^5 to a mixing matrix of finite renormalization constants chosen so that chiral symmetry is manifest in four dimensions.
• We also provide the finite part of the Green's function at two loops where the operator is inserted at zero momentum in a quark 3-point function in an arbitrary linear covariant gauge in order to assist with the lattice measurement of the same quantity.