arXiv 1408.45642014-08hep-ph

重夸克强子产生的横动量重算

Transverse-momentum resummation for heavy-quark hadroproduction

S. Catani, M. Grazzini, A. Torre

备注：: Some comments expanded and references added. Version published on NPB
发表信息：: Nucl.Phys. B890 (2014) 518-538
DOI：: 10.1016/j.nuclphysb.2014.11.019

摘要：

考虑强子碰撞中一对重夸克（$Q{\bar Q}$）的产生。当重夸克对的横动量$q_T$远小于其不变质量时，QCD微扰展开会受到大对数项的影响，这些项必须标为所有阶数。这种行为在无色大质量系统的强子产生的简单例子中是众所周知的，例如矢量或希格斯玻色子玻色子。在产生$Q{\bar Q}$的情况下，末态重夸克携带色荷，并产生额外的软辐射（通过直接发射和与初始态辐射的干扰），这使得在小$q_T$区域中的磁增强项的评估变得复杂。我们提出了所有的顺序remation结构的对数的贡献，其中包括由于软广角辐射的色流演化因子。恢复是在完全微分水平上相对于所产生的重夸克的运动学变量。软部分子辐射产生的方位角的相关性，充分考虑到的重申形式主义。这些方位角相关纠缠与那些产生的初始状态共线辐射。我们给出了高达次领先阶数和次领先对数准确度的显式分析结果。

英文摘要：

We consider the production of a pair of heavy quarks ($Q{\bar Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all-orders. This behavior is well known from the simpler case of hadroproduction of colourless high-mass systems, such as vector or Higgs boson(s). In the case of $Q{\bar Q}$ production, the final-state heavy quarks carry colour charge and are responsible for additional soft radiation (through direct emission and interferences with initial-state radiation) that complicates the evaluation of the logarithmically-enhanced terms in the small-$q_T$ region. We present the all-order resummation structure of the logarithmic contributions, which includes colour flow evolution factors due to soft wide-angle radiation. Resummation is performed at the completely differential level with respect to the kinematical variables of the produced heavy quarks. Soft-parton radiation produces azimuthal correlations that are fully taken into account by the resummation formalism. These azimuthal correlations are entangled with those that are produced by initial-state collinear radiation. We present explicit analytical results up to next-to-leading order and next-to-next-to-leading logarithmic accuracy.

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