Tau Decays and Chiral Perturbation Theory

Details Tau Decays and Chiral Perturbation Theory Tau Decays and Chiral Perturbation Theory

1996-04-10

arxiv.org/abs/hep-ph/9604279v1

Phys.Rev. D54 (1996) 4403-4418

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, Latex, including 8 Postscript figures. The complete paper is also available via anonymous ftp at ftp://www-ttp.physi

Scientific paper

10.1103/PhysRevD.54.4403

In a small window of phase space, chiral perturbation theory can be used to make standard model predictions for tau decays into two and three pions. For $\tau \to 2\pi \nu_\tau$, we give the analytical result for the relevant form factor $F_V$ up to two loops, then calculate the differential spectrum and compare with available data. For $\tau \to 3 \pi \nu_\tau$, we have calculated the hadronic matrix element to one loop. We discuss the decomposition of the three pion states into partition states and we give detailed predictions for the decay in terms of structure functions. We also compare with low energy predictions of meson dominance models. Overall, we find good agreement, but also some interesting discrepancies, which might have consequences beyond the limit of validity of chiral perturbation theory.

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