Three-loop evolution kernel for transversity operator

A bstract 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 anomal...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2024; no. 9; pp. 192 - 29
Main Authors Manashov, A. N., Moch, S., Shumilov, L. A.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 26.09.2024
Springer Nature B.V
SpringerOpen
Subjects
Accuracy
Classical and Quantum Gravitation
Elementary Particles
Euclidean space
Higher-Order Perturbative Calculations
Kinematics
Operators
Parton Distributions
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Scale and Conformal Symmetries
String Theory
Renormalization Group
Parton Distributions
Scale and Conformal Symmetries
Higher-Order Perturbative Calculations
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2024)192