SciPost Submission Page
Single-Logarithmic Corrections to Small-$x$ Helicity Evolution
by Yossathorn Tawabutr
This is not the latest submitted version.
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Yossathorn Tawabutr |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2108.04781v1 (pdf) |
| Date submitted: | 2021-08-11 03:10 |
| Submitted by: | Tawabutr, Yossathorn |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| 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.
Current status:
Reports on this Submission
Report
This work details attempts to describe the asymptotic behavior of the quark helicity contribution at vanishing x. The introduction of foundational terms is much appreciated, and makes this particularly approachable. The Journal's acceptance criteria for these proceedings are met.