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Single-Logarithmic Corrections to Small-$x$ Helicity Evolution
by Yossathorn Tawabutr
This Submission thread is now published as
|As Contributors:||Yossathorn Tawabutr|
|Arxiv Link:||https://arxiv.org/abs/2108.04781v2 (pdf)|
|Date submitted:||2022-03-22 03:44|
|Submitted by:||Tawabutr, Yossathorn|
|Submitted to:||SciPost Physics Proceedings|
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.
Published as SciPost Phys. Proc. 8, 103 (2022)
Author comments upon resubmission
List of changes
- In-text references using colors, i.e. "the blue terms", have been clarified in such a way that readers can understand without access to text colors. However, the explicit colors in the text are still kept, that is, some terms in some equations are still written in blue, as the author believes that it will provide a better illustration for those who can access them.
- Additional references have been added to better put results into context and to provide more resources for interested readers to study the subject further.
Submission & Refereeing History
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