Violation of quark-hadron duality and spectral chiral moments in QCD

Gonzalez-Alonso, Martin; Pich, Antonio; Prades, Joaquim

doi:10.1103/PHYSREVD.81.074007

Title: Violation of quark-hadron duality and spectral chiral moments in QCD

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Abstract

We analyze the spectral moments of the V-A two-point correlation function. Using all known short-distance constraints and the most recent experimental data from tau decays, we determine the lowest spectral moments, trying to assess the uncertainties associated with the so-called violations of quark-hadron duality. We have generated a large number of acceptable spectral functions, satisfying all conditions, and have used them to extract the wanted hadronic parameters through a careful statistical analysis. We obtain accurate values for the {chi}PT couplings L{sub 10} and C{sub 87}, and a realistic determination of the dimension six and eight contributions in the operator product expansion, O{sub 6}=(-5.4{sub -1.6}{sup +3.6}){center_dot}10{sup -3} GeV{sup 6} and O{sub 8}=(-8.9{sub -7.4}{sup +12.6}){center_dot}10{sup -3} GeV{sup 8}, showing that the duality-violation effects have been underestimated in previous literature.

Authors:

Gonzalez-Alonso, Martin; Pich, Antonio ^[1]; Prades, Joaquim ^[2]

Departament de Fisica Teorica and IFIC, Universitat de Valencia-CSIC, Apt. Correus 22085, E-46071 Valencia (Spain)
CAFPE and Departamento de Fisica Teorica y del Cosmos, Universidad de Granada, Campus de Fuente Nueva, E-18002 Granada (Spain)

Publication Date:: Thu Apr 01 00:00:00 EDT 2010

OSTI Identifier:: 21409470

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 81; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.81.074007; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CORRELATION FUNCTIONS; COUPLINGS; DUALITY; HADRONS; OPERATOR PRODUCT EXPANSION; PARTICLE DECAY; QUANTUM CHROMODYNAMICS; QUARK-HADRON INTERACTIONS; SPECTRAL FUNCTIONS; DECAY; ELEMENTARY PARTICLES; FIELD THEORIES; FUNCTIONS; INTERACTIONS; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SERIES EXPANSION

Citation Formats


                    Gonzalez-Alonso, Martin, Pich, Antonio, and Prades, Joaquim. Violation of quark-hadron duality and spectral chiral moments in QCD.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVD.81.074007.

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                    Gonzalez-Alonso, Martin, Pich, Antonio, & Prades, Joaquim. Violation of quark-hadron duality and spectral chiral moments in QCD.  United States.  https://doi.org/10.1103/PHYSREVD.81.074007

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                    Gonzalez-Alonso, Martin, Pich, Antonio, and Prades, Joaquim. 2010.  
        "Violation of quark-hadron duality and spectral chiral moments in QCD".  United States.  https://doi.org/10.1103/PHYSREVD.81.074007.

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@article{osti_21409470,

  title        = {Violation of quark-hadron duality and spectral chiral moments in QCD},

  author       = {Gonzalez-Alonso, Martin and Pich, Antonio and Prades, Joaquim},

  abstractNote = {We analyze the spectral moments of the V-A two-point correlation function. Using all known short-distance constraints and the most recent experimental data from tau decays, we determine the lowest spectral moments, trying to assess the uncertainties associated with the so-called violations of quark-hadron duality. We have generated a large number of acceptable spectral functions, satisfying all conditions, and have used them to extract the wanted hadronic parameters through a careful statistical analysis. We obtain accurate values for the {chi}PT couplings L{sub 10} and C{sub 87}, and a realistic determination of the dimension six and eight contributions in the operator product expansion, O{sub 6}=(-5.4{sub -1.6}{sup +3.6}){center_dot}10{sup -3} GeV{sup 6} and O{sub 8}=(-8.9{sub -7.4}{sup +12.6}){center_dot}10{sup -3} GeV{sup 8}, showing that the duality-violation effects have been underestimated in previous literature.},

  doi          = {10.1103/PHYSREVD.81.074007},

  url          = {https://www.osti.gov/biblio/21409470},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 7,

  volume       = 81,

  place        = {United States},

  year         = {Thu Apr 01 00:00:00 EDT 2010},

  month        = {Thu Apr 01 00:00:00 EDT 2010}

}

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