Factorization of low-energy gluons in exclusive processes

Details Factorization of low-energy gluons in exclusive processes Factorization of low-energy gluons in exclusive processes

2009-03-03

arxiv.org/abs/0903.0569v6

Phys.Rev.D81:114005,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 10 figures, 2 tables, version published in Physical Review D

Scientific paper

10.1103/PhysRevD.81.114005

We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e^+e^- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.

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