Unraveling duality violations in hadronic tau decays

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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 ... continued below

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Cata, Oscar; Cata, Oscar; Golterman, Maarten & Peris, Santiago March 3, 2008.

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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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  • Journal Name: Physical Review D; Journal Volume: 77; Related Information: Journal Publication Date: 19 May 2008

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  • Report No.: LBNL-465E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 934758
  • Archival Resource Key: ark:/67531/metadc899116

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  • March 3, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 3, 2016, 2:23 p.m.

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Cata, Oscar; Cata, Oscar; Golterman, Maarten & Peris, Santiago. Unraveling duality violations in hadronic tau decays, article, March 3, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc899116/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.