Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
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N 光子振幅的单环费曼图的数值积分
DOI：
10.1103/physrevd.74.093006
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发表时间：
2006
影响因子：
5
通讯作者：
D. Soper
中科院分区：
文献类型：
--
作者：
Z. Nagy;D. Soper
在计算次超前阶高能碰撞中红外安全可观测量的截面时，一种方法是用数值方法进行所有的积分，包括虚环积分。人们将使用减法方案，以类似于用于真实的发射图的方式从被积函数中去除红外发散和共线发散。然后，我们将通过蒙特卡罗积分沿着对末态动量的积分来进行环路积分。在本文中，我们将探讨如何进行数值积分。我们研究的N-光子散射振幅与无质量的电子回路，以便有一个奇异的被积函数的情况下，是不是，但是，如此奇异，需要减法。我们报告N = 4，N = 5与左手耦合，N = 6的结果。
In the calculation of cross sections for infrared-safe observables in high energy collisions at nextto-leading order, one approach is to perform all of the integrations, including the virtual loop integration, numerically. One would use a subtraction scheme that removes infrared and collinear divergences from the integrand in a style similar to that used for real emission graphs. Then one would perform the loop integration by Monte Carlo integration along with the integrations over final state momenta. In this paper, we explore how one can perform the numerical integration. We study the N-photon scattering amplitude with a massless electron loop in order to have a case with a singular integrand that is not, however, so singular as to require the subtractions. We report results for N = 4, N = 5 with left-handed couplings, and N = 6.