Precise determination of the σ pole location from a dispersive analysis



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Garcia Martin, R. and Kamiński, Robert and Peláez Sagredo, José Ramón (2008) Precise determination of the σ pole location from a dispersive analysis. In Scadron70: Workshop on Scalar Mesons and Related Topics: honoring Michael D. Scadron's 70th birthday. AIP Conference Proceedings (1030). Amer Inst Physics. ISBN 978-0-7354-0554-7

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We review how the use of recent precise data on kaon decays together with forward dispersion relations (FDR) and Roy’s equations allow us to determine the σ resonance pole position very precisely, by using only experimental input. In addition, we present preliminary results for a modified set of Roy-like equations with only one subtraction, that showaremarkable improvement in the precision around the σ region. For practical applications, these results are shown to be very well approximated by a very simple conformal expansion

Item Type:Book Section
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ISSN: 0094-243X
©Amer Inst Physics.
Workshop on Scalar Mesons and Related Topics (2008. Lisboa, Portugal).
We thank Prof. F. J. Ynduráin for his comments and suggestions, the organizers for creating the nice scientific atmosphere of the workshop and the Spanish research contracts PR27/05-13955-BSCH, FPA2004-02602, UCM-CAM 910309 and BFM2003-00856 for partial financial support.

Uncontrolled Keywords:Roy's equations; Dispersion relations; Sigma; Scalar Mesons; Meson-meson scattering
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35287
Deposited On:27 Jan 2016 17:28
Last Modified:10 Dec 2018 15:09

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