Vector meson dominance and the pi^0 transition form factor

Details Vector meson dominance and the pi^0 transition form factor Vector meson dominance and the pi^0 transition form factor

2010-12-27

arxiv.org/abs/1012.5634v2

Phys.Rev.D83:037503,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

A slightly abbreviated version has been published as a Brief Report in Physical Review D

Scientific paper

10.1103/PhysRevD.83.037503

It is shown that the pi^0 transition form factor F(Q_1^2,Q_2^2) differs substantially from its one-real-photon limit F(Q_1^2,0) even for rather small values of Q_2^2 (approx 0.1 GeV^2), which cannot be excluded in experiments with one "untagged" electron. It indicates that the comparison of data with theoretical calculations, which usually assume Q_2^2=0, may be untrustworthy. Our phenomenological model of the pi^0 transition form factor is based on the vector-meson-dominance hypothesis and all its parameters are fixed by using the experimental data on the decays of vector mesons. The model soundness is checked in the two-real-photon limit, where it provides a good parameter-free description of the pi^0 -> 2 gamma decay rate, and in the pi^0 Dalitz decay. The dependence of F(Q_1^2,Q_2^2) on Q_1^2 at several fixed values of Q_2^2 is presented and the comparison with existing data performed.

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