• Corpus ID: 119382691

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}
}
• Published 3 January 2017
• Mathematics
• arXiv: High Energy Physics - Theory
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

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References

SHOWING 1-10 OF 14 REFERENCES

Kinoshita-Lee-Nauenberg theorem and soft radiation in gauge theories: Abelian case

• Mathematics
• 1997
We present a covariant formulation of the Kinoshita-Lee-Nauenberg (KLN) theorem for processes involving the radiation of soft particles. The role of the disconnected diagrams is explored and a

Collinearity, convergence and cancelling infrared divergences

• Physics
• 2005
The Lee-Nauenberg theorem is a fundamental quantum mechanical result which provides the standard theoretical response to the problem of collinear and infrared divergences. Its argument, that the

Mass singularities of Feynman amplitudes

Feynman amplitudes, regarded as functions of masses, exhibit various singularities when masses of internal and external lines are allowed to go to zero. In this paper, properties of these mass

Cancellation of soft and collinear divergences in noncommutative QED

• Computer Science
• 2006
In noncommutative QED, collinear divergences due to triple photon splitting vertex, were encountered, which are shown to be canceled out by the nonCommutative version of KLN theorem, guaranteeing that there is no mixing between the Collinear, soft Divergences and noncommUTative IR diverGences.

Role of quark-gluon degenerate states in perturbative quantum chromodynamics

• Physics
• 1982
Motivated by the fact that the noncancellation of the infrared divergences in quantum chromodynamics may be avoided by using the soft degenerate states or the coherent states in the initial state, we

Soft Collinear Degeneracies in an Asymptotically Free Theory

• Mathematics
• 2010
In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences are cancelled if one sums over initial and final state degenerate cross-sections and uses an

Degenerate Systems and Mass Singularities

• Mathematics, Physics
• 1964
For a system with degenerate energies, the power series expansions of the s-matrix elements may become singular. An elementary quantum mechanical theorem is proved which shows that under certain