L. Girlanda et J. Stern, The decay tau -> 3 pi nu(tau), as a probe of the mechanism of dynamical chiral symmetry breaking, NUCL PHYS B, 575(1-2), 2000, pp. 285-312
The decays tau --> 3 pi + nu(tau) are analyzed at one loop order in the fra
mework of Generalized Chiral Perturbation Theory, in order to test the sens
itivity to the size of spontaneous chiral symmetry breaking parameters, con
tained in the S-wave. The latter, due to a kinematical suppression, at thre
shold, of the P-wave, is relatively large enough to be detectable at high-e
nergy machines, through azimuthal left-right asymmetries. This quantity (fo
r the pi(-) pi(-) pi(+) mode), integrated from threshold to Q(2) = 0.35 GeV
2, varies from (17 +/- 3)% in the standard case of large condensate up to (
40 +/- 5)% in the extreme case of tiny condensate. The feasibility of such
measurement at high luminosity colliders (e.g., CLEO) is discussed. This me
thod provides an independent cross-check of forthcoming experimental determ
ination of the two-light-flavor chiral condensate, based on low-energy pi p
i scattering. (C) 2000 Elsevier Science B.V. All rights reserved.