$\pi K$ sum rules and the SU(3) chiral expansion

Ananthanarayan, B and Büttiker, P and Moussallam, B (2001) $\pi K$ sum rules and the SU(3) chiral expansion. [Preprint]

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Abstract

A recently proposed set of sum rules, based on the pion-Kaon scattering amplitudes and their crossing-symmetric conjugates are analysed in detail. A key role is played by the $l=0$ $\pi\pi\to K\overline K$ amplitude which requires an extrapolation to be performed. It is shown how this is tightly constrained from analyticity, chiral counting and the available experimental data, and its stability is tested. A re-evaluation of the $O(p^4)$ chiral couplings $L_1$, $L_2$, $L_3$ is obtained, as well as a new evaluation of the large $N_c$ suppressed coupling $L_4$.

Item Type:	Preprint
Additional Information:	Eur.Phys.J. C22 (2001) 133-148
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	25 Aug 2008
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/804

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