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

A. A. Bagaev, A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin

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.

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

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.

Paper Structure

This paper contains 1 section, 14 equations, 1 figure.

Table of Contents

  1. Acknowledgments

Figures (1)

  • Figure 1: Examples of diagrams containing three gauge fields in the operator vertex