The perturbative pion-photon transition form factors with transverse momentum corrections

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, LaTeX, 3 Postscript figures, to be appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.53.6582

We perform a perturbative QCD analysis of the quark transverse momentum effect on the pion-photon transition form factors $F_{\pi \gamma}$ and $F_{\pi \gamma^*}$ in the standard light-cone formalism, with two phenomenological models of wavefunction as the input of the non-perturbative aspect of the pion. We point out that the transverse momentum dependence in both the numerator and the denominator of the hard scattering amplitude is of the same importance and should be considered consistently. It is shown that after taking into account the quark transverse momentum corrections, the results obtained from different model wave function are consistent with the available experimental data at finite $Q^2$.

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