SCET中快度标度不确定性的重现
Re-emergence of rapidity scale uncertainty in SCET
摘要：
在SCET中，将全理论模式人为地分离成不同的共线模式和软模式会导致在快度上的发散积分，这在全理论中是不存在的。快度发散在问题中引入了一个额外的标度，并在这个新标度下产生了它自己的重整化群。在有关快度尺度不确定性的文献中存在两种相互矛盾的说法。一个阵营已经表明，微扰计算的结果取决于快度标度的精确选择。另一种是用解析调节器调节快度发散，导出了与快度标度无关的全阶因子分解公式。我们提供了一个简单的解决方案，这一争议，推导出一种替代形式的全阶因式分解公式与分析调节器，尽管正式的快度尺度独立，揭示了如何快度尺度的依赖性时，它被截断在有限阶微扰理论。有了我们的结果，人们可以继续利用分析调节器方法的技术简便性和简单性，同时正确地考虑到快度尺度的依赖性。作为一个应用，我们更新我们早期的研究WW生产与喷气否决，包括快度尺度的不确定性。虽然中心值的预测是不变的，规模的不确定性增加和NLL和NNLL计算之间的一致性得到改善。
英文摘要：
The artificial separation of a full-theory mode into distinct collinear and soft modes in SCET leads to divergent integrals over rapidity, which are not present in the full theory. Rapidity divergence introduces an additional scale into the problem, giving rise to its own renormalization group with respect to this new scale. Two contradicting claims exist in the literature concerning rapidity scale uncertainty. One camp has shown that the results of perturbative calculations depend on the precise choice of rapidity scale. The other has derived an all-order factorization formula with no dependence on rapidity scale, by using a form of analytic regulator to regulate rapidity divergences. We deliver a simple resolution to this controversy by deriving an alternative form of the all-order factorization formula with an analytic regulator that, despite being formally rapidity scale independent, reveals how rapidity scale dependence arises when it is truncated at a finite order in perturbation theory. With our results, one can continue to take advantage of the technical ease and simplicity of the analytic regulator approach while correctly taking into account rapidity scale dependence. As an application, we update our earlier study of WW production with jet-veto by including rapidity scale uncertainty. While the central values of the predictions are unchanged, the scale uncertainties are increased and consistency between the NLL and NNLL calculations are improved.
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