Three loop anomalous dimension of the non-singlet transversity operator in QCD

Details Three loop anomalous dimension of the non-singlet transversity operator in QCD Three loop anomalous dimension of the non-singlet transversity operator in QCD

2012-03-05

arxiv.org/abs/1203.1022v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 2 figures, file with results

Scientific paper

We calculate the three loop anomalous dimension of non-singlet transverse
operator from N=1 to N=15. Using some guess we have found a general form of
three-loop anomalous dimension for arbitrary N. Obtained result is transformed
into Bjorken-x space by an inverse Mellin transformation. The exact expressions
are presented in both Mellin-N and Bjorken-x space.

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