Stability Analysis of Sum Rules for Compton Scattering

Abstract

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.

11 pages (latex), (CCUTH-93-1 preprint) 4 figs. availiable upon request (email:[email protected])

References in corpus (3)

• QCD Sum Rule and Perturbative QCD Approaches to Pion Compton Scattering
• QCD Sum Rules and Compton Scattering
• Power Corrections to QCD Sum Rules for Compton Scattering

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• Confinement of Fermions in Tachyon Matter at Finite Temperature