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Dresden 2013 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 73: Hadronenstruktur und -spektroskopie

HK 73.6: Talk

Thursday, March 7, 2013, 18:15–18:30, HSZ-105

τ Spectral Functions within a Linear Sigma Model withElectroweak Interactions — •Anja Habersetzer1, Francesco Giacosa1, and Dirk H. Rischke1,21Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Straße 1, D-60438 Frankfurt — 2Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Straße 1, D-60438 Frankfurt

We present the (axial-) vector spectral function for the τ lepton within a Linear Sigma Model with global chiral U(2)L× U(2)R symmetry. The τ decays weakly with intermediate ρ and a1 meson states. The electroweak interaction was introduced via a SU(2)L × U(1)Y gauge transformation of the hadronic fields and an additional gauge invariant term. The spontaneously broken chiral symmetry leads to a mass difference between the chiral partners ρ and a1 and is also exhibited in the vector and axial-vector coupling constants. We show the results for the τ spectral function in the vector and axial-vector channel and compare them to the spectral functions as measured by the ALEPH collaboration.
Supported by the Helmholtz Research School for Quark Matter Studies (H-QM) and HGS-HIRe and GSI.

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