Does one need the O(epsilon)- and O(epsilon(2))-terms of one-loop amplitudes in a next-to-next-to-leading order calculation ?

作者：Weinzierl Stefan^*

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2011, 84(7): 074007.

DOI：10.1103/PhysRevD.84.074007

This article discusses the occurrence of one-loop amplitudes within a next-to-next-to-leading-order calculation. In a next-to-next-to-leading-order calculation, the one-loop amplitude enters squared and one would therefore naively expect that the O(epsilon)- and O(epsilon(2))-terms of the one-loop amplitudes are required. I show that the calculation of these terms can be avoided if a method is known, which computes the O(epsilon(0))-terms of the finite remainder function of the two-loop amplitude.

• 出版日期2011-10-5