Factorization of low-energy gluons in exclusive processes

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.114005· OSTI ID:21407951

Bodwin, Geoffrey T ^[1]; Garcia i Tormo, Xavier ^[1]; Lee, Jungil ^[2]

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1. High Energy Physics Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
2. Department of Physics, Korea University, Seoul 136-701 (Korea, Republic of)

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{sup +}e{sup -} 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.

• OSTI ID: 21407951
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.114005; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
CANCELLATION
COLOR MODEL
ELECTRON-POSITRON INTERACTIONS
FACTORIZATION
GLUONS
MESONS
PHOTONS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
HADRONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUARK MODEL