Chiral Condensates, Q7and Q8Matrix Elements and Large-NcQCD

Friot, Samuel; Greynat, David; Rafael, Eduardo de

doi:10.1088/1126-6708/2004/10/043

Cited by 46 publications

(77 citation statements)

References 32 publications

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“…Our result agrees within errors with e.g. that of [9]- [10], and that of [19] but disagrees in sign with [20], [21], [22], and with the result of the minimal hadronic approximation of large N c [2]. In [20] …”

Section: Pinched Sum Rulessupporting

confidence: 70%

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Chiral condensates from tau decay: a critical reappraisal

Bordes

Domínguez

Peñarrocha

et al. 2006

J. High Energy Phys.

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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) exhibit poor saturation up to energies below the tau-lepton mass. A remarkable improvement is achieved by introducing pinched, as well as minimizing polynomial integral kernels. Both methods are used to determine the dimension d = 6 and d = 8 vacuum condensates in the Operator Product Expansion, with the results: O 6 (2.6 GeV 2 ) = −(0.00226 ± 0.00055) GeV 6 , and O 8 (2.6 GeV 2 ) = −(0.0054 ± 0.0033) GeV 8 from pinched FESR, and compatible values from the minimizing polynomial FESR. Some higher dimensional condensates are also determined, although we argue against extending the analysis beyond dimension d = 8. The value of the finite remainder of the (V-A) correlator at zero momentum is also redetermined:Π(0) = −4L 10 = 0.02579±0.00023. The stability and precision of the predictions are significantly improved compared to earlier calculations using the old ALEPH data. Finally, the role and limits of applicability of the Operator Product Expansion in this channel are clarified.

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Section: Pinched Sum Rulessupporting

confidence: 70%

“…In spite of the larger errors there is still a distinct region of duality in the interval: 2.3 ≤ s 0 (GeV 2 ) ≤ 3 , which yields O 8 (2.6 GeV 2 ) = −(0.0054 ± 0.0033) GeV 8 (19) Both the sign and the numerical value of this condensate are controversial (see e.g. Table 1 in [2]). Our result agrees within errors with e.g.…”

Section: Pinched Sum Rulesmentioning

confidence: 99%

Chiral condensates from tau decay: a critical reappraisal

Bordes

Domínguez

Peñarrocha

et al. 2006

J. High Energy Phys.

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“…ChPT Progress on Non-Leptonic and Radiative Kaon Decays Joaquim Prades Recently, several analytical works have been devoted to calculating Im [29] for a comparison-and Im G 8 [25,31], both at NLO in the 1 N c . The nice feature of Im e 2 G E !…”

Section: Pos(kaon)022mentioning

confidence: 99%

ChPT Progress on Non-Leptonic and Radiative Kaon Decays

Prades¹

2008

Proceedings of Kaon International Conference — PoS(KAON)

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“…The smooth variation of the resonance parameters from MHA to MHA+ρ ′ [16] seems to hint the close relation between the truncated RχT and the full QCD ∞ .…”

Section: Minimal Hadronical Approximationmentioning

confidence: 77%

QCD Correlators at Large NC

Sanz-Cillero

2007

Nuclear Physics B - Proceedings Supplements

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This talk explores the spin-1 correlators up to O(αs) through a large NC resonance theory. The phenomenological analyses of this kind must take these corrections into account since they produce a larger impact than the first OPE condensates. It is also necessary to separate low and high energy regimes; fixing the parameters of the lightest multiplets through perturbative QCD arguments is unfair and introduces errors in the determination of the condensates and resonance parameters. This separation of regimes improves our understanding of the Minimal Hadronical Approximation. The study at O(αs) already allows discerning between different hadronical models, where the Regge-like mass spectrum shows the best agreement to phenomenology.

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Chiral Condensates, Q₇and Q₈Matrix Elements and Large-N_cQCD

Cited by 46 publications

References 32 publications

Chiral condensates from tau decay: a critical reappraisal

Chiral condensates from tau decay: a critical reappraisal

ChPT Progress on Non-Leptonic and Radiative Kaon Decays

QCD Correlators at Large NC

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