The Inverse Amplitude Method and Adler Zeros

Abstract

The Inverse Amplitude Method is a powerful unitarization technique to enlarge the energy applicability region of Effective Lagrangians. It has been widely used to describe resonances from Chiral Perturbation Theory as well as for the Strongly Interacting Symmetry Breaking Sector. In this work we show how it can be slightly modified to account also for the sub-threshold region, incorporating correctly the Adler zeros required by chiral symmetry and eliminating spurious poles. These improvements produce negligible effects on the physical region.

17 pages, 4 figures

References in corpus (4)

• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• Pion scattering poles and chiral symmetry restoration
• Chiral Extrapolation of light resonances from Unitarized Chiral Perturbation Theory

Cited by in corpus (3)

• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Chiral Extrapolation of light resonances from Unitarized Chiral Perturbation Theory