$πK$ sum rules and the SU(3) chiral expansion

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dc.creatorAnanthanarayan, B.
dc.creatorBüttiker, P.
dc.creatorMoussallam, B.
dc.date2001-06-21
dc.date2001-07-31
dc.date.accessioned2026-07-07T12:26:17Z
dc.date.available2026-07-07T12:26:17Z
dc.descriptionA 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 $l=0$ $ππ\to K\overline K$ 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 $L_4$.
dc.description28 pages, 7 figures [v1: small corrections and improvements]
dc.identifierhttps://arxiv.org/abs/hep-ph/0106230
dc.identifierhttp://arxiv.org/abs/hep-ph/0106230
dc.identifierEur.Phys.J.C22:133-148,2001
dc.identifierdoi:10.1007/s100520100766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214832
dc.subjectHigh Energy Physics - Phenomenology
dc.title$πK$ sum rules and the SU(3) chiral expansion
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