Unraveling duality violations in hadronic tau decays

Details Unraveling duality violations in hadronic tau decays Unraveling duality violations in hadronic tau decays

2008-03-03

arxiv.org/abs/0803.0246v2

Phys.Rev.D77:093006,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 4 Figures. References, comments and a note added. Results unchanged

Scientific paper

10.1103/PhysRevD.77.093006

There are some indications from recent determinations of the strong coupling constant alpha_s and the gluon condensate that the Operator Product Expansion may not be accurate enough to describe non-perturbative effects in hadronic tau decays. This breakdown of the Operator Product Expansion is usually referred to as being due to ``Duality Violations.'' With the help of a physically motivated model, we investigate these duality violations. Based on this model, we argue how they may introduce a non-negligible systematic error in the current analysis, which employs finite-energy sum rules with pinched weights. In particular, this systematic effect might affect the precision determination of alpha_s from tau decays. With a view to a possible future application to real data, we present an alternative method for determining the OPE coefficients that might help estimating, and possibly even reducing, this systematic error.

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