Dresden 2013 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 73: Hadronenstruktur und -spektroskopie
HK 73.6: Vortrag
Donnerstag, 7. März 2013, 18:15–18:30, HSZ-105
τ Spectral Functions within a Linear Sigma Model withElectroweak Interactions — •Anja Habersetzer1, Francesco Giacosa1, and Dirk H. Rischke1,2 — 1Institut 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.