SHAPE OF PION DISTRIBUTION AMPLITUDE AND TRANSVERSE MOMENTUM IN HARD EXCLUSIVE PROCESSES
The problem is discussed of including transverse momentum effects into the description of the pion-photon transition form factor. It is argued that at low k{sub {perp}}, a consistent description may be obtained within the light-front formalism. On the other hand, the large-k{sub {perp}} limit is most conveniently treated within the Sudakov parameterization framework. It is stressed that these two approaches correspond to different definitions of transverse momentum, with no evident connection between them in the region of intermediate and small k{sub {perp}}. The third way of introducing k{sub {perp}} for the description of the photon-pion transition form factor is based on the "local duality" approach motivated by QCD sum rules. It is observed that for large photon virtualities Q{sup 2}, the local duality expressions look similar to those obtained within the modified perturbative factorization scheme. It is shown that, while the local duality gives a correct (coinciding with the axial anomaly based prediction) result for the real photon point, a straightforward extension of the formulas of the modified factorization approach into the small virtualities domain produces a divergent result. It is pointed out that such lessons should be taken into account while constructing transverse-momentum-dependent schemes for inclusive processes.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1059103
- Report Number(s):
- JLAB-THY-11-1437; DOE/OR/23177-1825
- Journal Information:
- Int.J.Mod.Phys.Conf.Ser., Vol. 04; Conference: QCD Evolution Workshop: from collinear to non collinear case, April 8-9, 2011, Newport News, VA
- Country of Publication:
- United States
- Language:
- English
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