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Three-loop evolution kernel for transversity operator

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arxiv 2407.12696 v2 pith:GTCLZTP5 submitted 2024-07-17 hep-th hep-ph

A. N. Manashov , S. Moch , L. A. Shumilov This is my paper · ORCID
classification hep-thhep-ph
keywords operatorsevolutionkernelquantumtransversityanomalousapproximationbasis
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We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obtain the evolution kernel for the corresponding operators at three loops. The explicit expression for the anomalous dimension matrix in the Gegenbauer basis is given for the first few operators.

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