arXiv 1408.06822014-08-04hep-ph

多粒子规范理论振幅的红外结构研究进展

Progress on the infrared structure of multi-particle gauge theory amplitudes

Lorenzo Magnea

备注：: 13 pages, 1 figure. Contribution to the Proceedings of "Loops and Legs in Quantum Field Theory", 27 April - 2 May 2014, Weimar, Germany

摘要：

我将回顾最近关于规范理论振幅的红外发散和共线发散的一些激烈活动。这些研究中的中心量是多粒子软反常维度矩阵，它在两个循环中对无质量和有质量粒子都是完全已知的，目前正在三个循环及更高的循环中研究其性质。我将描述如何，在无质量的情况下，简单的偶极结构的异常尺寸高达两个循环可以利用在高能量极限研究的影响，超出了标准形式的Regge因子分解。此外，我将简要回顾一些技术，最近已经开发出计算软反常维数高阶微扰理论，我会给一些应用的例子，包括一个结果有效的所有订单微扰理论的一个特定类别的图表。

英文摘要：

I will review some of the recent intense activity concerning infrared and collinear divergences in gauge theory amplitudes. The central quantity in these studies is the multi-particle soft anomalous dimension matrix, which is completely known at two loops for both massless and massive particles, and whose properties are currently being studied at three-loops and beyond. I will describe how, in the massless case, the simple dipole-like structure of the anomalous dimension up to two loops can be exploited in the high-energy limit to study effects that go beyond the standard form of Regge factorization. Furthermore, I will briefly review some of the techniques that have recently been developed to compute the soft anomalous dimension at high orders in perturbation theory, and I will give some examples of applications, including a result valid to all orders in perturbation theory for a specific class of diagrams.

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摘要：

英文摘要：

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