Chiral dynamics in [formula omitted] unitary chiral perturbation theory

Zhi-Hui Guo,J.A Oller,J Ruiz De Elvira

doi:10.1016/j.physletb.2012.05.021

Zhi-Hui Guo, J.A Oller + Show 1 more

Open Access

https://doi.org/10.1016/j.physletb.2012.05.021

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Abstract

We perform a complete one-loop calculation of meson–meson scattering, and of the scalar and pseudoscalar form factors in U(3) chiral perturbation theory with the inclusion of explicit resonance fields. This effective field theory takes into account the low-energy effects of the QCD UA(1) anomaly explicitly in the dynamics. The calculations are supplied by non-perturbative unitarization techniques that provide the final results for the meson–meson scattering partial waves and the scalar form factors considered. We present thorough analyses on the scattering data, resonance spectroscopy, spectral functions, Weinberg-like sum rules and semi-local duality. The last two requirements establish relations between the scalar spectrum with the pseudoscalar and vector ones, respectively. The NC extrapolation of the various quantities is studied as well. The fulfillment of all these non-trivial aspects of the QCD dynamics by our results gives a strong support to the emerging picture for the scalar dynamics and its related spectrum.

Highlights

Chiral symmetry and UA(1) anomaly are two prominent features of QCD in the low energy sector
Based on the calculated scattering amplitudes and form factors from U (3) χPT, we study semi-local duality [11, 12] between Regge theory and the hadronic degrees of freedom (h.d.f.) and construct the spectral functions to investigate the Weinberg-like spectral function sum rules [13] among the scalar and pseudoscalar correlators
This mixing can be eliminated at the Lagrangian level through a chiral covariant redefinition of the resonance fields, which results in two local chiral operators at the O(p4) level [15]

Summary

Introduction

Chiral symmetry and UA(1) anomaly are two prominent features of QCD in the low energy sector. Based on the calculated scattering amplitudes and form factors from U (3) χPT, we study semi-local duality [11, 12] between Regge theory and the hadronic degrees of freedom (h.d.f.) and construct the spectral functions to investigate the Weinberg-like spectral function sum rules [13] among the scalar and pseudoscalar correlators.

Results

Conclusion