4.4 Article

Helicity evolution at small x: the single-logarithmic contribution

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -

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SPRINGER
DOI: 10.1007/JHEP03(2022)184

关键词

Perturbative QCD; Resummation

资金

  1. U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC0004286]

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We calculate single-logarithmic corrections to the small-x flavor-singlet helicity evolution equations derived recently in the double-logarithmic approximation. These corrections are important in correcting the dominant powers of alpha(s) ln(2) (1/x) summed up by the double-logarithmic kernel from [1-3] at small Bjorken x values and with strong coupling constant alpha(s).
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 alpha(s) ln( )(1/x), which are an important correction to the dominant powers of alpha(s) ln(2) (1/x) summed up by the double-logarithmic kernel from [1-3] at small values of Bjorken x and with alpha(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.

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