# A Complete Diagrammatic Implementation of the Kinoshita-Lee-Nauenberg Theorem at Next-to-Leading Order

@article{Khalil2017ACD, title={A Complete Diagrammatic Implementation of the Kinoshita-Lee-Nauenberg Theorem at Next-to-Leading Order}, author={Abdullah Khalil and William A. Horowitz}, journal={arXiv: High Energy Physics - Theory}, year={2017} }

We show for the first time in over 50 years how to correctly apply the Kinoshita-Lee-Nauenberg theorem diagrammatically in a next-to-leading order scattering process. We improve on previous works by including all initial and final state soft radiative processes, including absorption and an infinite sum of partially disconnected amplitudes. Crucially, we exploit the Monotone Convergence Theorem to prove that our delicate rearrangement of this formally divergent series is correct. This…

## 2 Citations

### Infrared finiteness and forward scattering

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- 2019

Infrared divergences have long been heralded to cancel in sufficiently inclusive cross-sections, according to the famous Kinoshita-Lee-Nauenberg theorem which mandates an initial and final state sum.…

### On the infrared divergence and global colour in N $$ \mathcal{N} $$ = 4 Yang-Mills theory

- Physics
- 2020

The N $$ \mathcal{N} $$ = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation…

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