Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-10-06
Phys.Lett. B324 (1994) 98-104
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages (latex), (CCUTH-93-1 preprint) 4 figs. availiable upon request (email:coriano@vana.physto.se)
Scientific paper
10.1016/0370-2693(94)00048-4
We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive to the parameter $\lambda^2$, the contour radius of a generalized Borel transform. A modified phenomenological model for the continuum contribution is proposed to remove this dependence. It is shown that the best value of the quark-hadron duality interval $s_0=0.6$ GeV$^2$ is close to that in the form factor case ($s_0=0.7$ GeV$^2$). The application of this new model to the pion form factor is examined. A comparison of our predictions with those derived from a modified perturbative calculation including Sudakov suppression is also briefly considered.
Coriano' Claudio
Li Hsiang-nan
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