The technique of one-loop calculations for the processes involving Reggeized quarks is described in the framework of gauge invariant effective field theory for the Multi-Regge limit of QCD, which has been introduced by Lipatov and Vyazovsky. The rapidity divergences, associated with the terms enhanced by $\log (s)$, appear in the loop corrections in this formalism. The covariant procedure of regularization of rapidity divergences, preserving the gauge invariance of effective action is described. As an example application, the one-loop correction to the propagator of Reggeized quark and $γQ q$-scattering vertex are computed. Obtained results are used to construct the Regge limit of one-loop $γγ\to q\bar q$ amplitude. The cancellation of rapidity divergences and consistency of the effective field theory prediction with the full QCD result is demonstrated. The rapidity renormalization group within the effective field theory is discussed.
Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
我目前的结果，双回路软异常尺寸的重夸克的生产控制软胶子的再确认在下一个到下一个到领先的对数（NNLL）的准确性。我推导出一个精确结果的显式表达式，并通过e+ e- -> t tbar对顶夸克产生进行数值研究，我构造了一个令人惊讶的简单但非常精确的近似。我表明，双圈软反常尺寸与大量的夸克显示一个简单的比例关系，单圈的结果，只有在有限的夸克质量消失。本文还讨论了强子对撞机中单top和top对产生计算的推广。
