Implications of the ALEPH {tau} -Lepton Decay Data for Perturbative and Nonperturbative QCD

Journal Article · Mon Apr 30 00:00:00 EDT 2001 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.86.3973· OSTI ID:40205767

Scha''fer, Thomas; Shuryak, Edward V

We use ALEPH data on hadronic {tau} decays in order to calculate Euclidean coordinate space correlation functions in the vector and axial-vector channels. The linear combination V-A receives no perturbative contribution and is quantitatively reproduced by the instanton liquid model. In the case of V+A the instanton calculation is in good agreement with the data once perturbative corrections are included. These corrections clearly show the evolution of {alpha}{sub s} . We also analyze the range of validity of the operator product expansion (OPE). We conclude that the range of validity of the OPE is limited to x{approx}<0.3 fm , whereas the instanton model describes the data over the entire range.

• Sponsoring Organization: (US)
• OSTI ID: 40205767
• Journal Information: Physical Review Letters, Vol. 86, Issue 18; Other Information: DOI: 10.1103/PhysRevLett.86.3973; Othernumber: PRLTAO000086000018003973000001; 044114PRL; PBD: 30 Apr 2001; ISSN 0031-9007
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATION FUNCTIONS
DECAY
INSTANTONS
OPERATOR PRODUCT EXPANSION
QUANTUM CHROMODYNAMICS
VECTORS