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.

7 pages, 1 figure, minor changes in the text

References in corpus (4)

• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• $O({\alpha }_s^2)$ and $O({\alpha }_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2\gg m^2$
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Three loop MSbar transversity operator anomalous dimensions for fixed moment n <= 8

Cited by in corpus (6)

• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering