Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering

Details Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering

1997-03-27

arxiv.org/abs/hep-ph/9703448v1

Phys.Lett. B409 (1997) 461-468

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex209, 2 figures

Scientific paper

10.1016/S0370-2693(97)00872-1

Four of the six parameters defining the two-loop \pi\pi scattering amplitude have been determined using Roy dispersion relations. Combining this information with the Standard \chi PT expressions, we obtain the threshold parameters, low-energy phases and the O(p^4) constants $l_1^r, l_2^r$. The result $l_2^r ( M_{\rho} ) = ( 1.6 \pm 0.4 \pm 0.9 ) \times 10^{-3} ( {\bar l_2} = 4.17 \pm 0.19 \pm 0.43$) reproduces the correct D-waves but it is incompatible with existing Standard \chi PT analyses of $K_{l4}$ form factors beyond one loop.

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