The pion transition form factor and the pion distribution amplitude

Details The pion transition form factor and the pion distribution amplitude The pion transition form factor and the pion distribution amplitude

2010-01-18

arxiv.org/abs/1001.3075v1

Eur.Phys.J.A46:197-205,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 5 postscript figures, uses epsfig.sty and 1 appendix

Scientific paper

10.1140/epja/i2010-11029-6

Recent BaBaR data on the pion transition form factor, whose Q^2 dependence is much steeper then predicted by asymptotic Quantum Chromodynamics (QCD), have caused a renewed interest in its theoretical description. We present here a formalism based on a model independent low energy description and a high energy description based on QCD, which match at a scale Q_0. The high energy description incorporates a flat pion distribution amplitude, phi(x)=1, at the matching scale Q_0 and QCD evolution from Q_0 to Q>Q_0. The flat pion distribution is connected, through soft pion theorems and chiral symmetry, to the pion valance parton distribution at the same low scale Q_0. The procedure leads to a good description of the data, and incorporating additional twist three effects, to an excellent description of the data.

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