The KLN Theorem and Soft Radiation in Gauge Theories: Abelian Case

Details The KLN Theorem and Soft Radiation in Gauge Theories: Abelian Case The KLN Theorem and Soft Radiation in Gauge Theories: Abelian Case

1997-02-06

arxiv.org/abs/hep-ph/9702270v1

Phys.Rev. D56 (1997) 377-387

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, LaTeX, 14 figures

Scientific paper

10.1103/PhysRevD.56.377

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 rearrangement of the perturbation theory is performed such that the purely disconnected diagrams are factored out. The remaining effect of the disconnected diagrams results in a simple modification of the usual Feynman rules for the S-matrix elements. As an application, we show that when combined with the Low theorem, this leads to a proof of the absense of the $1/Q$ corrections to inclusive processes (like the Drell-Yan process). In this paper the abelian case is discussed to all orders in the coupling.

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