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Resonance Effective Theory: Bridging the Gap Between Theory and Experiment in Hadron Decays

This work presents a comprehensive analysis of hadron τ decays using Resonance Effective Theory (RET) within Quantum Chromodynamics (QCD). It examines axial-vector form factors, analyzing experimental data from ALEPH, CLEO-II, and OPAL. The study compares established models by Gounaris & Sakurai and Kühn & Santamaría, assessing their effectiveness in describing the data. Key findings include new parameterizations for structure functions and insights into asymptotic behaviors governed by QCD. The outlook emphasizes the potential for further refinements in understanding τ → 3Pντ processes.

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Resonance Effective Theory: Bridging the Gap Between Theory and Experiment in Hadron Decays

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  1. : Resonance Effective Theory versus Experiment J. Portolés IFIC, Valencia

  2. Summary • Short overview: Hadron  decays • Axial-Vector form factors • The Resonance Effective Theory of QCD Spectrum and structure functions • Analysis of experimental data: ALEPH,CLEO-IIandOPAL

  3. Form factors in up to now • Models Gounaris & Sakurai (1968) Kühn & Santamaría (1990) • Quantity and Quality of data: ALEPH, CLEO-II, OPAL • Parameterization to analyse experimental data TAUOLA[Z. Was & collab.]

  4. About TAUOLA • Kühn & Santamaríamodel • Low-energyexpansionin

  5. : Axial-vector form factors

  6. in the Resonance Effective Theory [D. Gómez Dumm, A. Pich, J.P., hep-ph/0312183] • ResonanceChiralTheory (RcT) [Ecker et al. 1989] + ….. but • Oneoctetofresonancesonly • Off-shellwidthsfor(770) anda1(1260) • AsymptoticbehaviourruledbyQCD

  7. Resonance Chiral Theory + 1/NC   a1 LRT = L(2) + LV+ LA + LVAP 5unknown couplings

  8. Asymptotic behaviour of ImA [G. Floratos, S. Narison, E. de Rafael,1979] • QCD ruled asymptotic behaviour of form factors 3unknowncouplings • Feynman diagrams :1 ONLYunknown, 0 Four parameters a1(1260)

  9. Fit to the ALEPH spectrum

  10. Structure functions OPAL CLEO-II

  11. Outlook • Axial-vector form factors in Good description ofALEPH,CLEO-II andOPALexperimental data New determination of : Prediction of Structure Functions : main features already included tiny contributions from • Room for improvement : • Analysis of all   3P processes

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