Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays

We propose a dispersive representation of the charged pion vector form factor that is consistent with chiral symmetry and fulfills the constraints imposed by analyticity and unitarity. Unknown parameters are fitted to the very precise data on τ<sup>-</sup> π<sup>-</sup> π<...

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Autores principales: Gómez Dumm, Daniel Alberto, Roig, P.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104374
http://hdl.handle.net/11336/3412
Aporte de:
id I19-R120-10915-104374
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Hadronic tau decays
Chiral Lagrangians
ρ(770) resonance
Electromagnetic form factors
Analytic properties of S matrix
spellingShingle Física
Hadronic tau decays
Chiral Lagrangians
ρ(770) resonance
Electromagnetic form factors
Analytic properties of S matrix
Gómez Dumm, Daniel Alberto
Roig, P.
Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
topic_facet Física
Hadronic tau decays
Chiral Lagrangians
ρ(770) resonance
Electromagnetic form factors
Analytic properties of S matrix
description We propose a dispersive representation of the charged pion vector form factor that is consistent with chiral symmetry and fulfills the constraints imposed by analyticity and unitarity. Unknown parameters are fitted to the very precise data on τ<sup>-</sup> π<sup>-</sup> π<sup>0</sup> ν<sub>τ</sub> decays obtained by Belle, leading to a good description of the corresponding spectral function up to a π π squared invariant mass s ≃ 1.5 GeV<sup>2</sup>. We determine the ρ(770) mass and width pole parameters and obtain the values of low energy observables. The significance of isospin breaking corrections is also discussed. For larger values of s, this representation is complemented with a phenomenological description to allow its implementation in the new TAUOLA hadronic currents.
format Articulo
Preprint
author Gómez Dumm, Daniel Alberto
Roig, P.
author_facet Gómez Dumm, Daniel Alberto
Roig, P.
author_sort Gómez Dumm, Daniel Alberto
title Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
title_short Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
title_full Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
title_fullStr Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
title_full_unstemmed Dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
title_sort dispersive representation of the pion vector form factor in τ→π π ν<sub>τ</sub> decays
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/104374
http://hdl.handle.net/11336/3412
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