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20 April 2024
 
  » arxiv » hep-ph/0005085

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Form Factors and QCD in Spacelike and Timelike Region
A.P. Bakulev ; A.V. Radyushkin ; N.G. Stefanis ;
Date 10 May 2000
Journal Phys.Rev. D62 (2000) 113001
Subject hep-ph
AbstractWe analyze the basic hard exclusive processes: pigamma*gamma - transition, pion and nucleon electromagnetic form factors, and discuss the analytic continuation of QCD formulas from the spacelike q^2<0 to the timelike region q^2 >0 of the relevant momentum transfers. We describe the construction of the timelike version of the coupling constant alpha_s. We show that due to the analytic continuation of the collinear logarithms each eigenfunction of the evolution equation acqiures a phase factor and investigate the resulting interference effects which are shown to be very small. We found no sources for the K-factor-type enhancements in the perturbative QCD contribution to the hadronic form factors. To study the soft part of the pion electromagnetic form factor, we use a QCD sum rule inspired model and show that there are non-canceling Sudakov double logarithms which result in a K-factor-type enhancement in the timelike region.
Source arXiv, hep-ph/0005085
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