Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 59, Issue 4, Pages 821-829Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-008-0834-9
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Funding
- Ramon y Cajal program
- Ministerio de Educacion y Ciencia [FPA2005-02211]
- EU [MRTN-CT-2006-035482]
- Spanish Consolider-Ingenio [CSD2007-00042]
- Generalitat de Catalunya [2005-SGR-00994]
- ICREA Funding Source: Custom
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Recent experimental data for the differential decay distribution of the decay tau(-) -> v(tau)K(S)pi(-) the Belle collaboration are described by a theoretical model which is composed of the contributing vector and scalar form factors F-+(K pi)(s) and F-0(K pi) (s). Both form factors are constructed such that they fulfil constraints posed by analyticity and unitarity. A good description of the experimental measurement is achieved by incorporating two vector resonances and working with a three-times-subtracted dispersion relation in order to suppress higher-energy contributions. The resonance parameters of the charged K*(892) meson, defined as the pole of F-+(K pi)(s) in the complex s-plane, can be extracted, with the result M-K* = 892.0 +/- 0.9 MeV and Gamma(K*) = 46.2 +/- 0.4 MeV. Finally, employing a three-times-subtracted dispersion relation allows one to determine the slope and curvature parameters lambda(+)' = (24.7 +/- 0.8) x 10(-3) and lambda(+)'' = (12.0 +/- 0.2) x 10(-4) of the vector form factor F-+(K pi) (s) directly from the data.
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