The Olsson sum rule and the rho Regge pole

Details The Olsson sum rule and the rho Regge pole The Olsson sum rule and the rho Regge pole

2006-11-02

arxiv.org/abs/hep-ph/0611023v2

AIP Conf.Proc.892:305-307,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

plain TeX. 1 figure. Contents of talk at Azores Conference. Corrected scale of figure; minor improvements inn text

Scientific paper

10.1063/1.2714401

We consider the Olsson sum rule, i.e., the forward dispersion relation for pion-pion scattering with exchange of isospin unity at threshold. We show that, if using the S0, S2 and P wave expressions of Colangelo, Gasser and Leutwyler, then either the sum rule is not satisfied or, if adjusting the residue of the rho exchange Regge amplitude to have the sum rule satisfied (as recently proposed by Caprini, Colangelo and Leutwyler) then the subsequent high energy amplitude is in disagreement with experimental pi-pi cross sections.

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