Finite energy chiral sum rules and tau spectral functions
Feb, 199820 pages
Published in:
- Phys.Rev.D 58 (1998) 096014
e-Print:
- hep-ph/9802447 [hep-ph]
Report number:
- IPNO-TH-98-05,
- LAL-98-05
Citations per year
Abstract:
A combination of finite energy sum rule techniques and Chiral Perturbation Theory (ChPT) is used in order to exploit recent ALEPH data on the non-strange tau vector (V) and axial-vector (A) spectral functions with respect to an experimental determination of the ChPT quantity L_{10}. A constrained fit of R_{\tau,V-A}^(k,l) inverse moments (l<0) and positive spectral moments (l>=0) adjusts simultaneously L_{10} and the nonperturbative power terms of the Operator Product Expansion. We give explicit formulae for the first k=0,1 and l=-1,-2 strange and non-strange inverse moment chiral sum rules to one-loop order generalized ChPT. Our final result reads L^r_{10}(M_\rho)=-(5.13 +/- 0.19)x10^{-3}, where the error includes experimental and theoretical uncertainties.- perturbation theory: chiral
- sum rule: finite energy
- tau: semileptonic decay
- model: weak interaction
- mass spectrum
- spectral representation: moment
- operator product expansion
- numerical calculations: interpretation of experiments
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