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

Journal Article · · Physical Review. D, Particles Fields
;  [1];  [2]
  1. Departament de Fisica Teorica and IFIC, Universitat de Valencia-CSIC, Apt. Correus 22085, E-46071 Valencia (Spain)
  2. CAFPE and Departamento de Fisica Teorica y del Cosmos, Universidad de Granada, Campus de Fuente Nueva, E-18002 Granada (Spain)

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.

OSTI ID:
21409470
Journal Information:
Physical Review. D, Particles Fields, Vol. 81, Issue 7; Other Information: DOI: 10.1103/PhysRevD.81.074007; (c) 2010 The American Physical Society; ISSN 0556-2821
Country of Publication:
United States
Language:
English