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Related papers: Tests of quark-hadron duality in tau-decays

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QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension $d=2$ and $d=4$. These data are also used to check the validity…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. A. Dominguez , L. A. Hernandez , K. Schilcher , H. Spiesberger

The vector and axial-vector ALEPH hadronic spectral functions from $\tau$-decay are used to probe potential quark-hadron duality violations (DV). This is done in the framework of finite energy QCD sum rules (FESR). A pinched integration…

High Energy Physics - Phenomenology · Physics 2016-07-07 C. A. Dominguez , L. A. Hernandez , K. Schilcher , H. Spiesberger

The ALEPH data on the vector and axial-vector spectral functions, extracted from tau-lepton decays is used in order to test local and global duality, as well as a set of four QCD chiral sum rules. These are the Das-Mathur-Okubo sum rule,…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , K. Schilcher

A set of well known chiral sum rules, expected to be valid in QCD, is confronted with experimental data on the vector and axial-vector hadronic spectral functions, obtained from tau-lepton decay by the ALEPH collaboration. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. A. Dominguez , K. Schilcher

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V-A). The sum rules exhibit poor saturation up to current energies…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. A. Dominguez , K. Schilcher

The saturation of QCD chiral sum rules is reanalyzed in view of the new and complete analysis of the ALEPH experimental data on the difference between vector and axial-vector correlators (V-A). Ordinary finite energy sum rules (FESR)…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jose Bordes , Cesareo A. Dominguez , Jose Penarrocha , Karl Schilcher

We analyse the so-called violations of quark-hadron duality in Finite Energy Sum Rules with the LR correlator, through the study of the possible high-energy behavior of the LR spectral function, taking into account all known short-distance…

High Energy Physics - Phenomenology · Physics 2011-02-15 Martín González-Alonso , Antonio Pich , Joaquim Prades

Recent ALEPH/OPAL data on the V-A spectral functions from hadronic tau decays are used for fixing the QCD continuum threshold at which the first and second Weinberg sum rules should be satisfied in the chiral limit, and for predicting the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephan Narison

The (non-strange) vector and axial-vector spectral functions extracted from $\tau $-decay by the ALEPH collaboration are confronted with QCD in the framework of a Finite Energy QCD sum rule (FESR) involving a polynomial kernel tuned to…

High Energy Physics - Phenomenology · Physics 2009-11-06 C. A. Dominguez , N. F. Nasrallah , K. Schilcher

Hadronic spectral functions measured by the ALEPH collaboration in the vector and axial-vector channels are used to study potential quark-hadron duality violations (DV). This is done entirely in the framework of pinched kernel finite energy…

High Energy Physics - Phenomenology · Physics 2016-09-21 C. A. Dominguez , L. A. Hernandez , K. Schilcher , H. Spiesberger

We analyze the so-called pinched weights, that are generally thought to reduce the violation of quark-hadron duality in Finite-Energy Sum Rules. After showing how this is not true in general, we explain how to address this question for the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Martin Gonzalez-Alonso , Antonio Pich , Joaquim Prades

Using the spectral functions measured in $\tau$ decays, we investigate the actual numerical impact of duality violations on the extraction of the strong coupling. These effects are tiny in the standard $\alpha_s(m_\tau^2)$ determinations…

High Energy Physics - Phenomenology · Physics 2022-08-10 Antonio Pich , Antonio Rodríguez-Sánchez

The thorough analysis of the ALEPH data on hadronic tau-decay is performed in the framework of QCD. The perturbative calculations are performed in 3 and 4-loop approximations. The terms of the operator product expansion (OPE) are accounted…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. V. Geshkenbein , B. L. Ioffe , K. N. Zyablyuk

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The ALEPH data on the (non-strange) vector and axial-vector spectral functions, extracted from tau-lepton decays, is used in order to search for evidence for a dimension-two contribution, $C_{2 V,A}$, to the Operator Product Expansion…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , K. Schilcher

The QCD vacuum condensates in the Operator Product Expansion are extracted from the final ALEPH data on vector and axial-vector spectral functions from $\tau$-decay. Weighted Finite Energy Sum Rules are employed in the framework of both…

High Energy Physics - Phenomenology · Physics 2010-10-27 C. A. Dominguez , K. Schilcher

A novel procedure for extracting hadron characteristics from QCD sum rules, based on effective continuum thresholds (necessary for the implementation of quark-hadron duality) which may depend on the involved momenta and on the Borel…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Oscar Cata , Maarten Golterman , Santi Peris

We present a new framework for the extraction of the strong coupling from hadronic \tau decays through finite-energy sum rules. Our focus is on the small, but still significant non-perturbative effects that, in principle, affect both the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Diogo Boito , Oscar Cata , Maarten Golterman , Matthias Jamin , Kim Maltman , James Osborne , Santiago Peris

The high-precision data from hadronic tau decays allows one to extract information on QCD condensates. Using the finalized ALEPH data, we obtain a more rigorous determination of the dimension 6 and 8 condensates for the V-A correlator. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Almasy , K. Schilcher , H. Spiesberger
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