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Dispersive evaluation of the second-class amplitude
τ→ηπν_τ in the standard model
release_bpmucpd43faj3nvbqffzrzaa2q
by
S. Descotes-Genon, E. Kou, B. Moussallam
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as a article
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2013
Abstract
We reevaluate the two form factors relevant for the ηπ second-class
τ decay mode, making systematic use of analyticity, unitarity, combined
with updated inputs to the NLO chiral constraints. We focus, in particular, on
the shape of the ρ resonance peak which is a background-free signature of
a second-class current. Its dispersive construction requires the
ηπ→ππ scattering amplitude which we derive from a family of
Khuri-Treiman equations solutions constrained with accurate recent results on
the η→3π Dalitz plot.
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1303.2879v1
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