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Single-Logarithmic Corrections to Small-$x$ Helicity Evolution
by Yossathorn Tawabutr
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Submission summary
| Authors (as registered SciPost users): | Yossathorn Tawabutr |
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| Preprint Link: | https://arxiv.org/abs/2108.04781v1 (pdf) |
| Date submitted: | Aug. 11, 2021, 3:10 a.m. |
| Submitted by: | Yossathorn Tawabutr |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
The small-$x$ quark helicity evolution equations at double-logarithmic order, with the kernel $\sim\alpha_s\ln^2(1/x)$, have been derived previously. In this work, we derive the single-logarithmic corrections to the equations, to order $\alpha_s\ln(1/x)$ of the evolution kernel. The new equations include the effects of the running coupling and the unpolarized small-$x$ evolution, both of which are parametrically significant at single-logarithmic order. The large-$N_c$ and large-$N_c\& N_f$ approximations to the equation are computed. (Here, $N_c$ and $N_f$ are the numbers of quark colors and flavors, respectively.) Their solutions will provide more precise estimates of the quark helicity distribution at small $x$, contributing to the resolution of the proton spin puzzle.