$πK$ Scattering in Three Flavour ChPT

Details $πK$ Scattering in Three Flavour ChPT $πK$ Scattering in Three Flavour ChPT

2004-04-19

arxiv.org/abs/hep-ph/0404150v1

JHEP 0405:036,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages

Scientific paper

10.1088/1126-6708/2004/05/036

We present the scattering lengths for the $\pi K$ processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order (NNLO). The calculation has been performed analytically but we only include analytical results for the dependence on the low-energy constants (LECs) at NNLO due to the size of the expressions. These results, together with resonance estimates of the NNLO LECs are used to obtain constraints on the Zweig rule suppressed LECs at NLO, $L_4^r$ and $L_6^r$. Contrary to expectations from NLO order calculations we find them to be compatible with zero. We do a preliminary study of combining the results from $\pi\pi$ scattering, $\pi K$ scattering and the scalar form-factors and find only a marginal compatibility with all experimental/dispersive input data.

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