arXiv 0802.42402008-02hep-ph

大x和小x下QCD硬散射的恢复

Resummations in QCD hard-scattering at large and small x

Nikolaos Kidonakis, Agustin Sabio Vera, Philip Stephens

备注：: 36 pages, 12 figures, invited contribution to the edited book "The Physics of Quarks"; Eqs. 31 and 47 corrected, references updated
发表信息：: 'The Physics of Quarks: New Research' (Horizons in World Physics, Volume 265). Nova Science Publishers, New York, 2009. (ISBN 978-1-60456-802-8). pp. 163-196.

摘要：

本文讨论了在大、小x区域中夸克和胶子的硬散射截面中出现的大粒子的不同表示。对于特定的最终态的产生，大x的跃迁在阈值附近通常占主导地位。这些软胶子修正和共线胶子修正对许多过程产生了大的截面增强，特别是顶夸克和希格斯粒子的产生，并且通常高阶修正降低了截面的因子分解和重整化标度依赖性。在硬子过程的动量转移远小于总碰撞能量的区域，小x粒子占主导地位。这些结果对于描述深度非弹性散射和强子对撞机中的多喷流末态以及部分子分布函数的研究都有重要意义。在小的和大的x处的双折射由程函近似联系在一起，并且由软胶子反常尺寸主导。我们将回顾它们在这两种情况下的作用，并在一个和两个循环中提供一些明确的计算。

英文摘要：

We discuss different resummations of large logarithms that arise in hard-scattering cross sections of quarks and gluons in regions of large and small x. The large-x logarithms are typically dominant near threshold for the production of a specified final state. These soft and collinear gluon corrections produce large enhancements of the cross section for many processes, notably top quark and Higgs production, and typically the higher-order corrections reduce the factorization and renormalization scale dependence of the cross section. The small-x logarithms are dominant in the regime where the momentum transfer of the hard sub-process is much smaller than the total collision energy. These logarithms are important to describe multijet final states in deep inelastic scattering and hadron colliders, and in the study of parton distribution functions. The resummations at small and large x are linked by the eikonal approximation and are dominated by soft gluon anomalous dimensions. We will review their role in both contexts and provide some explicit calculations at one and two loops.

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。

摘要：

英文摘要：

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