English

The Chiral Coupling Constants $\lb{1}$ and $\lb{2}$ from \pipi Phase Shifts

High Energy Physics - Phenomenology 2009-10-28 v1

Abstract

A Roy equation analysis of the available ππ\pi\pi phase shift data is performed with the I=0I=0 S- wave scattering length a00a^0_0 in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is developed to extract the chiral coupling constants \lb{1}, \lb{2} and yields \lb{1}=1.70±0.15=-1.70\pm0.15 and \lb{2}5.0\approx 5.0. We remark on the implications of this determination to (combinations of) threshold parameter predictions of the three lowest partial waves.

Cite

@article{arxiv.hep-ph/9601285,
  title  = {The Chiral Coupling Constants $\lb{1}$ and $\lb{2}$ from \pipi Phase Shifts},
  author = {B. Ananthanarayan and P. Büttiker},
  journal= {arXiv preprint arXiv:hep-ph/9601285},
  year   = {2009}
}

Comments

36 pages using latex with 1 figure embedded using epsf