Small x resummation with quarks: Deep-inelastic scattering

Small x resummation with quarks: Deep-inelastic scattering
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夸克的小 x 恢复:深度非弹性散射

DOI:
10.1016/j.nuclphysb.2008.03.003
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发表时间:
2008
期刊:
影响因子:
2.8
通讯作者:
Altarelli G
Altarelli G
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Altarelli G

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我们把我们以前在纯Yang-Mills理论中关于小-x重动的结果推广到具有nfquark味的全QCD,用一个图解的夸克和胶子分裂函数的二乘二矩阵。我们还构造了相应的深度非弹性系数函数,并展示了如何将这些函数与部分子密度相结合,以在次领先的对数水平上给出完全图解的深度非弹性结构函数F2和FL。我们讨论如何在不同的因式分解方案,包括常用的MS方案,可以执行这种重申。通过与固定阶微扰结果的比较,我们研究了重正化效应的重要性,并讨论了相应的重正化和因式分解尺度变化的不确定性。我们发现,当x小于10− 2时,重算效应的大小与固定阶NNLO修正相当,但形状不同。最后,我们讨论了小x恢复的唯象影响,特别是在从当今实验中提取部分子分布以及将其外推到与未来对撞机(例如大型强子对撞机)相关的运动学方面。
We extend our previous results on small-x resummation in the pure Yang–Mills theory to full QCD with nfquark flavours, with a resummed two-by-two matrix of resummed quark and gluon splitting functions. We also construct the corresponding deep-inelastic coefficient functions, and show how these can be combined with parton densities to give fully resummed deep-inelastic structure functions F2and FLat the next-to-leading logarithmic level. We discuss how this resummation can be performed in different factorization schemes, including the commonly used MS¯ scheme. We study the importance of the resummation effects by comparison with fixed-order perturbative results, and we discuss the corresponding renormalization and factorization scale variation uncertainties. We find that for x below 10−2the resummation effects are comparable in size to the fixed order NNLO corrections, but differ in shape. We finally discuss the phenomenological impact of the small-x resummation, specifically in the extraction of parton distribution from present day experiments and their extrapolation to the kinematics relevant for future colliders such as the LHC.
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