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arXiv 2209.09015hep-ph
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深虚康普顿散射阈值谱的恢复

Resummation of threshold logarithms in deeply-virtual Compton scattering

Jakob Schoenleber

摘要:

本文导出了动量空间中的π介子-光子跃迁形状因子和深度虚康普顿散射的夸克系数函数中与$\frac{α_s^n}{x \pm ξ} \log (\frac{ξ\pm x}{2ξ})^k$成正比的动量增强贡献的全阶重算公式。以次至次至前导对数精度执行重算。关键的观察是夸克系数函数本身在$x \rightarrow \pm ξ$极限中分解,这允许使用重整化群方程进行重新计算。初步的数值分析表明,由于夸克贡献的再膨胀的修正可能很小。

英文摘要:

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{α_s^n}{x \pm ξ} \log (\frac{ξ\pm x}{2ξ})^k$ in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the $x \rightarrow \pm ξ$ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis suggests that the corrections due to resummation for the quark contribution might be small.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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