Abstract
Dispersive representations of the K π vector and scalar form factors are used to fit the spectrum of τ → Kπντ obtained by the Belle collaboration incorporating constraints from results for K l3 decays. The slope and curvature of the vector form factor are obtained directly from the data through the use of a three-times-subtracted dispersion relation. We find λ′+ = (25.49 ± 0.31) × 10−3 and λ″+ = (12.22 ± 0.14) × 10−4. From the pole position on the second Riemann sheet the mass and width of the K*(892)± are found to be m K*(892)± = 892.0 ± 0.5MeV and ΓK*(892)± = 46.5 ± 1.1MeV. The phase-space integrals needed for K l3 decays are calculated as well. Furthermore, the K π isospin-1/2 P-wave threshold parameters are derived from the phase of the vector form factor. For the scattering length and the effective range we find respectively a 1/21 = (0.166 ± 0.004)m −3π and b 1/21 = (0.258 ± 0.009)m −5π .
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ArXiv ePrint: 1007.1858
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Boito, D.R., Escribano, R. & Jamin, M. Kπ vector form factor constrained by τ → Kπντ and Kl3 decays. J. High Energ. Phys. 2010, 31 (2010). https://doi.org/10.1007/JHEP09(2010)031
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DOI: https://doi.org/10.1007/JHEP09(2010)031