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The slope and curvature of $F_+^{K\\pi}$ are fitted to the data yielding $\\lambda_+'=(25.49 \\pm 0.31) \\times 10^{-3}$ and $\\lambda_+\"= (12.22 \\pm 0.14) \\times 10^{-4}$. The pole parameters of the $K^*(892)^\\pm$ are found to be $m_{K^*(892)^\\pm}= 892.0\\pm 0.5$ MeV and $\\Gamma_{K^*(892)^\\pm}= 46.5 \\pm1.1$ MeV. 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Boito, Matthias Jamin, Rafel Escribano","submitted_at":"2010-12-15T23:27:04Z","abstract_excerpt":"The $K\\pi$ vector form factor, $F_+^{K\\pi}$, used to reproduce the Belle spectrum of $\\tauKpi$ decays is described by means of a three-times subtracted dispersion relation also incorporating constraints from $K_{l3}$ decays. The slope and curvature of $F_+^{K\\pi}$ are fitted to the data yielding $\\lambda_+'=(25.49 \\pm 0.31) \\times 10^{-3}$ and $\\lambda_+\"= (12.22 \\pm 0.14) \\times 10^{-4}$. The pole parameters of the $K^*(892)^\\pm$ are found to be $m_{K^*(892)^\\pm}= 892.0\\pm 0.5$ MeV and $\\Gamma_{K^*(892)^\\pm}= 46.5 \\pm1.1$ MeV. 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