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arXiv 1806.03080hep-phnucl-th
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从偶极图中次领先阶深度非弹性散射截面中软胶子发散的因式分解

Factorization of the soft gluon divergence from the dipole picture deep inelastic scattering cross sections at next-to-leading order

B. Ducloué, H. Hänninen, T. Lappi, Y. Zhu

摘要:

我们使用一个因式分解方案类似于一个单一的包容性向前强子的生产,因式分解软胶子分歧目前在深非弹性散射截面在偶极图片在次领先顺序(NLO)。我们的数值计算表明,在这个精心构造的计划,它是可能的,以获得有意义的结果在非线性光学的DIS截面,所以我们能够定量研究最近推导的非线性光学修正DIS截面。我们发现,非线性光学校正可以是显着的和敏感的细节的因式分解方案用于remation的大规模的矩阵到BK演化方程。在近似因式分解方案的情况下,我们观察到DIS截面的问题行为,类似于类似因式分解的单包容性截面。

英文摘要:

We use a factorization scheme analogous to one proposed for single inclusive forward hadron production to factorize the soft gluon divergence present in the deep inelastic scattering cross sections in the dipole picture at next-to-leading order (NLO). We show numerically that in this carefully constructed scheme it is possible to obtain meaningful results for the DIS cross sections at NLO, and so we are able to quantitatively study the recently derived NLO corrections to the DIS cross sections. We find that the NLO corrections can be significant and sensitive to the details of the factorization scheme used for the resummation of the large logarithms into the BK evolution equation. In the case of an approximative factorization scheme we observe a problematic behavior of the DIS cross sections similar to what has been seen with analogously factorized single inclusive cross sections.

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