τ Vector Spectral Function from a Chirally Invariant Hadronic Model with Weak Interaction

2014/11/28 by Anja Habersetzer, Habersetzer, Anja · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1411.7881

Presented at the Workshop on Unquenched Hadron Spectroscopy: Non-Perturbative Models and Methods of QCD vs. Experiment, At the occasion of Eef van Beveren's 70th birthday 6 pages, 3 figures

arxiv created 2014/11/28 · openalex publication_date 2014/11/28 · arxiv updated 2014/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The linear sigma model we present here describes the vacuum phenomenology of the N_F=2 scalar, pseudoscalar, vector and axial-vector mesons at energies ≃ 1 GeV. Together with a local SU(2)_L× U(1)_Y symmetry obtained from a local transformation of the fields we obtain a gauge invariant effective description of electroweak interaction with hadrons in the vacuum. We show that the vector channel is described well and that the contributions from the direct decay of W^- → π^- π⁰ are, although quantitatively small, necessary to reproduce the line shape of the vector spectral function.

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• \(τ\) vector and axial-vector spectral functions in the extended linear sigma model

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