外腿修正作为大振幅的起源
External-leg corrections as an origin of large logarithms
摘要：
获得新重粒子产生和衰变过程的精确理论预测对于限制超越标准模型（BSM）理论的允许参数空间、正确评估发现的敏感性以及区分不同的发现和衰变过程具有重要意义。可能的BSM场景。在这种情况下，众所周知，大的对数修正可能出现在广泛分离的质量尺度的存在。我们指出，存在一种新的类型的可能的大，Sudakov样，在重标量的外腿修正的双曲。与通常的Sudakov矩阵不同，这些矩阵还可以通过大的三线性耦合得到增强。这样大的反射率与红外奇点，我们回顾了几种技术，以解决这些在一个循环。除了这个讨论，我们还提出了推导的两个回路的修正包含这种类型的大的reflums，指出在这种情况下，采用壳重正化计划的重要性。最后，我们说明了我们的计算和检查可能的幅度，这些修正的一个简单的标量玩具模型，以及衰变过程中涉及重停夸克的最小超对称标准模型和一个重希格斯玻色子的下一个到两个希格斯双重模型。
英文摘要：
Obtaining precise theoretical predictions for both production and decay processes of heavy new particles is of great importance to constrain the allowed parameter spaces of Beyond-the-Standard-Model (BSM) theories, and to properly assess the sensitivity for discoveries and for discriminating between different possible BSM scenarios. In this context, it is well known that large logarithmic corrections can appear in the presence of widely separated mass scales. We point out the existence of a new type of possible large, Sudakov-like, logarithms in external-leg corrections of heavy scalars. To the difference of usual Sudakov logarithms, these can furthermore potentially be enhanced by large trilinear couplings. Such large logarithms are associated with infrared singularities and we review several techniques to address these at one loop. In addition to this discussion, we also present the derivation of the two-loop corrections containing this type of large logarithms, pointing out in this context the importance of adopting an on-shell renormalisation scheme. Finally, we illustrate our calculations and examine the possible magnitude of these corrections for a simple scalar toy model as well as for decay processes involving heavy stop quarks in the Minimal Supersymmetric Standard Model and a heavy Higgs boson in the Next-to-Two-Higgs-Doublet Model.
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