Helicity evolution at small x: the single-logarithmic contribution

A bstract We calculate single-logarithmic corrections to the small- x flavor-singlet helicity evolution equations derived recently [ 1 – 3 ] in the double-logarithmic approximation. The new single-logarithmic part of the evolution kernel sums up powers of α s ln(1 /x ), which are an important correc...

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Bibliographic Details
Published in:The journal of high energy physics 2022-03, Vol.2022 (3), p.184-58, Article 184
Main Authors: Kovchegov, Yuri V., Tarasov, Andrey, Tawabutr, Yossathorn
Format: Article
Language:English
Subjects:
Approximation
Classical and Quantum Gravitation
Coupling
Elementary Particles
Evolution
Helicity
High energy physics
Integrals
Kernels
Mathematical analysis
NUCLEAR PHYSICS AND RADIATION PHYSICS
Perturbation theory
Perturbative QCD
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
Resummation
String Theory
Transverse momentum
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Summary:A bstract We calculate single-logarithmic corrections to the small- x flavor-singlet helicity evolution equations derived recently [ 1 – 3 ] in the double-logarithmic approximation. The new single-logarithmic part of the evolution kernel sums up powers of α s ln(1 /x ), which are an important correction to the dominant powers of α s ln 2 (1 /x ) summed up by the double-logarithmic kernel from [ 1 – 3 ] at small values of Bjorken x and with α s the strong coupling constant. The single-logarithmic terms arise separately from either the longitudinal or transverse momentum integrals. Consequently, the evolution equations we derive employing the light-cone perturbation theory simultaneously include the small-x evolution kernel and the leading-order polarized DGLAP splitting functions. We further enhance the equations by calculating the running coupling corrections to the kernel.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2022)184