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Title: Transverse-momentum dependent factorization for {gamma}*{pi}{sup 0}{yields}{gamma}

Abstract

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process {gamma}*{pi}{sup 0}{yields}{gamma} can be factorized when the virtuality of the initial photon is large. In contrast to the collinear factorization in which the amplitude is factorized as a convolution of the standard light-cone wave function and a hard part, the TMD factorization yields a convolution of a TMD light-cone wave function, a soft factor and a hard part. We explicitly show that the TMD factorization holds at one-loop level. It is expected that the factorization holds beyond one-loop level because the cancellation of soft divergences is on a diagram-by-diagram basis. We also show that the TMD factorization helps to resum large logarithms of type ln{sup 2}x.

Authors:
 [1];  [1];  [2]
  1. Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China)
  2. (China)
Publication Date:
OSTI Identifier:
20933228
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014014; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FACTORIZATION; GAMMA RADIATION; LIGHT CONE; PHOTONS; PIONS NEUTRAL; TRANSVERSE MOMENTUM; WAVE FUNCTIONS

Citation Formats

Ma, J. P., Wang, Q., and Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210097. Transverse-momentum dependent factorization for {gamma}*{pi}{sup 0}{yields}{gamma}. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.014014.
Ma, J. P., Wang, Q., & Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210097. Transverse-momentum dependent factorization for {gamma}*{pi}{sup 0}{yields}{gamma}. United States. doi:10.1103/PHYSREVD.75.014014.
Ma, J. P., Wang, Q., and Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210097. Mon . "Transverse-momentum dependent factorization for {gamma}*{pi}{sup 0}{yields}{gamma}". United States. doi:10.1103/PHYSREVD.75.014014.
@article{osti_20933228,
title = {Transverse-momentum dependent factorization for {gamma}*{pi}{sup 0}{yields}{gamma}},
author = {Ma, J. P. and Wang, Q. and Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210097},
abstractNote = {With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process {gamma}*{pi}{sup 0}{yields}{gamma} can be factorized when the virtuality of the initial photon is large. In contrast to the collinear factorization in which the amplitude is factorized as a convolution of the standard light-cone wave function and a hard part, the TMD factorization yields a convolution of a TMD light-cone wave function, a soft factor and a hard part. We explicitly show that the TMD factorization holds at one-loop level. It is expected that the factorization holds beyond one-loop level because the cancellation of soft divergences is on a diagram-by-diagram basis. We also show that the TMD factorization helps to resum large logarithms of type ln{sup 2}x.},
doi = {10.1103/PHYSREVD.75.014014},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}