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tau -> (3 pions) nu_tau decays in the Resonance Effective Theory

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arxiv hep-ph/0312183 v1 pith:LI6BAWRM submitted 2003-12-15 hep-ph hep-ex

tau -> (3 pions) nu_tau decays in the Resonance Effective Theory

D. Gomez Dumm (1) , A. Pich (2) , J. Portoles (2) ((1) IFLP-La Plata (Argentina) , (2) IFIC-Valencia (Spain)) This is my paper
classification hep-ph hep-ex
keywords resonancedecayseffectiveframeworkfunctionpionsspectraltheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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tau -> (3 pions) nu_tau decays are analysed within the framework of the resonance effective theory of QCD. We work out the relevant Lagrangian that describes the axial-vector current hadronization contributing to these processes, in particular the local a_1(1260)-rho(770)-Goldstone interactions. The new coupling constants are constrained by imposing the asymptotic behaviour of the corresponding spectral function within QCD. Hence we compare the theoretical framework with the experimental data, obtaining a good quality fit from the ALEPH spectral function and branching ratio. We also get values for the mass and on-shell width of the a_1(1260) resonance. In this way we are able to provide the structure functions that have been measured by OPAL and CLEO-II and we find an excellent agreement.

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Cited by 2 Pith papers

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  1. Impact of the $a_1(1260) \pi$ cascade contribution on $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays

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    Adding the a1(1260)pi cascade to the Standard Model isobar description of D0 -> pi+ pi- l+ l- substantially improves agreement with LHCb data and changes several angular observables.

  2. Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region

    hep-ph 2025-05 unverdicted novelty 4.0

    Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0...