Feynman Diagrams and Cutting Rules

TL;DR

This paper demonstrates how Feynman diagrams can be evaluated using cutting rules, specifically Cutkosky rules, to compute one-loop amplitudes, with a detailed example involving gg->gH.

Contribution

It introduces a method leveraging cutting rules for calculating massive one-loop amplitudes, showing equivalence with traditional Feynman diagram approaches.

Findings

Cutkosky rules effectively evaluate one-loop amplitudes.

The method is demonstrated on gg->gH process.

Cutting rules simplify calculations for massive particles.

Abstract

We show how Feynman diagrams may be evaluated to take advantage of recent developments in the application of Cutkosky rules to the calculation of one-loop amplitudes. A sample calculation of gg->gH, previously calculated by Ellis et al., is presented illustrating this equivalence. This example demonstrates the use of cutting rules for massive amplitudes.