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

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

1996-01-17

arxiv.org/abs/hep-ph/9601285v1

Phys.Rev. D54 (1996) 1125-1135

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages using latex with 1 figure embedded using epsf

Scientific paper

10.1103/PhysRevD.54.1125

A Roy equation analysis of the available $\pi\pi$ phase shift data is performed with the $I=0$ S- wave scattering length $a^0_0$ 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}$=-1.70\pm0.15$ and \lb{2}$\approx 5.0$. We remark on the implications of this determination to (combinations of) threshold parameter predictions of the three lowest partial waves.

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