Abstract
The renormalization of the third moment of the twist-2 flavor nonsinglet Wilson operator is given to two loops in the ${\mathrm{RI}}^{\ensuremath{'}}/\mathrm{SMOM}$ renormalization scheme. This involves renormalizing the operator itself and the two total derivative operators into which it mixes by inserting it into a quark 2-point function and evaluating the amplitudes at the symmetric subtraction point. The corresponding two loop conversion functions are derived from which the three loop Landau gauge anomalous dimension is deduced. The full set of amplitudes for the two loop Green's function for each of the operators are given in both the $\overline{\mathrm{MS}}$ and ${\mathrm{RI}}^{\ensuremath{'}}/\mathrm{SMOM}$ schemes.
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