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Form Factors and QCD in Spacelike and Timelike Region

A. P. Bakulev·A. V. Radyushkin·N. G. Stefanis
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Abstract

We analyze the basic hard exclusive processes: πγ*γ- 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 α_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.

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A. P. Bakulev, A. V. Radyushkin, N. G. Stefanis. 2000-06-19. Form Factors and QCD in Spacelike and Timelike Region. https://doi.org/10.1103/physrevd.62.113001

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