Inverse Amplitude Method and Chiral Zeros

Details Inverse Amplitude Method and Chiral Zeros Inverse Amplitude Method and Chiral Zeros

1997-03-24

arxiv.org/abs/hep-ph/9703403v2

Phys.Rev. D59 (1999) 057502

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figs, REVTeX, Phys. Rev. D version

Scientific paper

10.1103/PhysRevD.59.057502

The inverse amplitude method has previously been successfully applied to $\pi\pi$ scattering in order to extend the range of applicability of chiral perturbation theory. However, in order to take the chiral zeros into account systematically, the previous derivation of the inverse amplitude method has to be modified. It is shown how this can be done to both one and two loops in the chiral expansion. In the physical region, the inclusion of these chiral zeros has very little significance, whereas they become essential in the sub-threshold region. Finally, the crossing properties of the inverse amplitude method are investigated in the sub-threshold region.

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