Thursday, January 31, 2013

1301.7167 (Daniel Gómez Dumm et al.)

Dispersive analysis of $τ^-\toπ^-π^0ν_τ$ Belle data    [PDF]

Daniel Gómez Dumm, Pablo Roig
We analyse Belle data on the decay $\tau^- \to \pi^- \pi^0 \nu_\tau$ using a dispersive representation of the vector form factor which is consistent with chiral symmetry and preserves analyticity and unitarity exactly. We fit the unknown theoretical parameters from the data, determining the values of the related low-energy observables $\left\langle r^2\right\rangle^\pi_V$ and $c_V^\pi$. The implementation of isospin breaking effects is also discussed.
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