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

Abstract

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

30 pages, 4 figures, file with results, minor changes in the text, references added, confirmation from the recent calculation of N=16 (arXiv:1206.2890) added

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Cited by in corpus (19)

• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• 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 Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• First Forcer results on deep-inelastic scattering and related quantities
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• BFKL pomeron in the next-to-next-to-leading approximation in the planar N=4 SYM theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory
• A calculation of the three-loop helicity-dependent splitting functions in QCD
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• Off-forward anomalous dimensions of non-singlet transversity operators