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arXiv 2203.07928hep-ph
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在N $^{3}$ LL准确度和近似N $^{3}$ LO校正下的阈值重建为半包含DIS

Threshold resummation at N$^{3}$LL accuracy and approximate N$^{3}$LO corrections to semi-inclusive DIS

Maurizio Abele, Daniel de Florian, Werner Vogelsang

摘要:

本文将半包容深度非弹性散射(SIDIS)的阈值重算形式提升到了次-领先对数(N $^{3}$ LL)阶,其中包含了三圈硬因子。在强耦合下,我们将结果推广到SIDIS截面,得到了近似的次-主导阶(N $^{3}$ LO)修正.在Mellin矩空间中,这些校正包括在阈值处被增强的或恒定的所有项。我们还考虑了一组在阈值附近被抑制的校正。我们的数值估计表明,适度的变化的横截面的近似N $^{3}$ LO条款,这表明一个非常好的微扰稳定性的SIDIS过程。

英文摘要:

We advance the threshold resummation formalism for semi-inclusive deep-inelastic scattering (SIDIS) to next-to-next-to-next-to-leading logarithmic (N$^{3}$LL) order, including the three-loop hard factor. We expand the results in the strong coupling to obtain approximate next-to-next-to-next-to-leading order (N$^{3}$LO) corrections for the SIDIS cross section. In Mellin moment space, these corrections include all terms that are logarithmically enhanced at threshold, or that are constant. We also consider a set of corrections that are suppressed near threshold. Our numerical estimates show modest changes of the cross section by the approximate N$^{3}$LO terms, suggesting a very good perturbative stability of the SIDIS process.

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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