Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-11-07
Phys.Rev. D63 (2001) 114009
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, 7 figs, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.63.114009
We develop a unitarity approach to consider the final state interaction corrections to the tree level graphs calculated from Chiral Perturbation Theory ($\chi PT$) allowing the inclusion of explicit resonance fields. The method is discussed considering the coupled channel pion and kaon vector form factors. These form factors are then matched with the one loop $\chi PT$ results. A very good description of experimental data is accomplished for the vector form factors and for the $\pi\pi$ P-wave phase shifts up to $\sqrt{s}\lesssim 1.2$ GeV, beyond which multiparticle states play a non negligible role. In particular the low and resonance energy regions are discussed in detail and for the former a comparison with one and two loop $\chi PT$ is made showing a remarkable coincidence with the two loop $\chi PT$ results.
Oller Jose Antonio
Oset Eulogio
Palomar J. E.
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