Institute for Theoretical Particle Physics (TTP)

TTP96-20 Structure Functions in Semihadronic Tau Decays

TTP96-20 Structure Functions in Semihadronic Tau Decays

TTP96-20 Structure Functions in Semihadronic Tau Decays

We review a variety of topics related to hadronic structure functions in exclusive semihadronic tau decays. We introduce the concept of structure functions and summarize the most important concepts. We then calculate the decay $\tau \to 3 \pi \nu_\tau$ for very small hadronic invariant mass to one loop in Chiral Perturbation Theory. New interesting features emerge with respect to the known results at tree level, in particular for the structure functions $w_D$ and $w_E$. We discuss the prospects for experimental verification of our predictions. Finally, we discuss various issues at higher $Q^2$, related to hadronic resonance physics. Here we consider $2\pi$, $\pi K$, $3 \pi$, $K \pi K$ and $\pi K \pi$ hadronic final states.

Gilberto Colangelo, Markus Finkemeier, Erwin Mirkes, Res Urech
Nucl. Phys. B499 319-348 1997
PDF PostScript arXiv
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