Inverse amplitude method in chiral perturbation theory



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Dobado González, Antonio and Peláez Sagredo, José Ramón (1997) Inverse amplitude method in chiral perturbation theory. Physical Review D , 56 (5). pp. 3057-3073. ISSN 0556-2821

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Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) chiral perturbation theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in terms of cuts and poles. Indeed, using the chiral parameter estimates obtained from low-energy experiments we obtain the poles associated with the p(770) and K*(982) resonances. Just by fixing their actual masses we obtain a parametrization of the pi pi and pi K phase shifts in eight different channels. With this fit we have then calculated several low-energy phenomenological parameters estimating their errors. Among others, we have obtained the chiral parameters and scattering lengths, which can be relevant for future experiments.

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© 1997 The American Physical Society.
J.R.P would like to thank the Theory Group at Berkeley
for their kind hospitality and the Jaime del Amo oundation
for financial support. He also wishes to thank M. S. Chanowitz for calling his attention to the f 0 problem. We have also profitted from discussions with U. G. Meissner on the pK elastic scattering amplitudes and M. R. Pennington on the Adler zero problem and the left cut contribution. We thank D. Toublan too, for pointing an error in our calculations as well as C. Carone for reading the manuscript. This work has been partially supported by the Ministerio de Educación y Ciencia (Spain) (CICYT AEN93-0776). Partial support by U.S. DOE under contract No. DE-AC03-76SF00098 is gratefully acknowledged.

Uncontrolled Keywords:Symmetry-Breaking Sector, Pi-Pi Scattering, One-Loop, Gev-C, Equivalence Theorem, Weak-Interactions, Standard Model, K Scattering, Momentum-Transfer, 1/N Expansion
Subjects:Sciences > Physics
ID Code:22750
Deposited On:11 Sep 2013 14:17
Last Modified:12 Nov 2014 12:51

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