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- W2022083528 abstract "We analyse the pion electromagnetic, charged-current, and $pigamma$ transition form factors at timelike momentum transfers $q$, $q^2=sle 1.4$ GeV$^2$, using a dispersion approach. We discuss in detail the propagator matrix of the photon-vector-meson system and define certain reduced amplitudes, or vertex functions, describing the coupling of this system to final states. We then apply the derived analytic expressions to the analysis of the recent $e^+e^-to pi^+pi^-$, $tau^-to pi^-pi^0nu_tau$, and $e^+e^-to pi^0gamma$ data. We find the reduced amplitudes for the coupling of the photon and vector mesons to two pseudoscalars to be constant, independent of $s$, in the range considered, indicating a freezing of the amplitudes for $sle 1$ GeV. The fit to the form factor data leads to the following values of the Breit-Wigner resonance masses m_{rho^-}=775.3pm 0.8 MeV, m_{rho^0}=773.7pm 0.6 MeV and m_omega=782.43pm 0.05 MeV, where the errors are only statistical." @default.
- W2022083528 created "2016-06-24" @default.
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- W2022083528 date "2004-05-01" @default.
- W2022083528 modified "2023-09-24" @default.
- W2022083528 title "Masses and couplings of vector mesonsfrom the pion electromagnetic, weak, and $pigamma$ transition form factors" @default.
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- W2022083528 doi "https://doi.org/10.1140/epjc/s2004-01726-4" @default.
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