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arXiv 2108.04781hep-phhep-exnucl-exnucl-th
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小螺旋度$x$演化的单对数修正

Single-Logarithmic Corrections to Small-$x$ Helicity Evolution

Yossathorn Tawabutr

摘要:

以前已经导出了以$\simα_s\ln^2(1/x)$为核的双对数级小- $x$夸克螺旋度演化方程。在这项工作中,我们推导出单对数校正方程,为了$α_s\ln(1/x)$的发展内核。新的方程包括运行耦合和非极化的小$x$演变,这两者都是参数显着的单对数阶的影响。计算了方程的大$N_c$和大$N_c\& N_f$近似. (Here、$N_c$和$N_f$分别是夸克颜色和味的数量。)他们的解决方案将提供更精确的估计夸克螺旋度分布在小$x$,有助于解决质子自旋之谜。

英文摘要:

The small-$x$ quark helicity evolution equations at double-logarithmic order, with the kernel $\simα_s\ln^2(1/x)$, have been derived previously. In this work, we derive the single-logarithmic corrections to the equations, to order $α_s\ln(1/x)$ 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.

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