The 16th moment of the three loop anomalous dimension of the non-singlet transversity operator in QCD

TL;DR

This paper computes the three-loop anomalous dimension for the non-singlet transversity operator in QCD at Mellin moment N=16, confirming previous predictions and supporting the general expression for arbitrary moments.

Contribution

It provides the explicit three-loop anomalous dimension for N=16, validating the general formula and confirming previous theoretical predictions in QCD.

Findings

Result matches previous predictions, confirming correctness.

Supports the general expression for arbitrary Mellin moments.

Serves as a benchmark for future calculations.

Abstract

We present the result of the three loop anomalous dimension of non-singlet transversity operator in QCD for the Mellin moment N=16. The obtained result coincides with the prediction from arXiv:1203.1022 and can serve as a confirmation of the correctness of the general expression for three loop anomalous dimension of non-singlet transversity operator in QCD for the arbitrary Mellin moment.