QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays

Abstract

We re-examine the estimate of $\als$ and of the QCD condensates from $e^+e^-\rar I=1$ hadrons data. We conclude that $e^{+}{e}^{-}$ at low energies gives a value of $\Lambda$ compatible with the one from LEP and from tau inclusive decay. Using a $\tau$-like inclusive process and QCD spectral sum rules, we estimate the size of the $D$=4 to 9 condensates by a fitting procedure {\it without invoking stability criteria}. We find $\la \als G^2 \ra =(7.1\pm 0.7)10^{-2}$ GeV${}^4$, $ρ\als\la \bar uu\ra^2= (5.8\pm 0.9)10^{-4}$ GeV${}^6$, which confirm previous sum rules estimate based on stability criteria. The corrections due to the $D=8$ condensates and to instantons on the vector component of $\tau$-decay are respectively ${\delta }_1^{(8)}=-(1.5\pm 0.6)10^{-2}(1.78/M_{\tau }{)}^8$ and ${\delta }_1^{(9)}=-(7.0\pm 26.5)10^{-4}(1.78/M_{\tau }{)}^9$, which indicate that the ${\delta }_1^{(8)}$ is one order magnitude higher than the vacuum saturation value, while the $D\ge 9$ instanton-like contribution to the the vector component of the $\tau$-decay width is a negligible correction. We also show that, due to the correlation between the $D=4$ and $1/M_{\tau }^2$ contributions in the ratio of the Laplace sum rules, the present value of the gluon condensate already excludes the recent estimate of the $1/M_{\tau }^2$-term from FESR in the axial-vector channel. Combining our non-perturbative results with the resummed perturbative corrections to the $\tau$-width $R_{\tau }$, we deduce from the present data ${\alpha }_s(M_{\tau })=0.33\pm 0.03$.

Latex files, ps files figures available by requests

References in corpus (2)

• Phenomenological Analysis of a Dimension-Two Operator in QCD and its Impact on ${\alpha }_s(M_{\tau })$
• On Instanton Contributions to the tau Hadronic Width

Cited by in corpus (117)

• New Charmonium States in QCD Sum Rules: a Concise Review
• Can the X(3872) be a 1^{++} four-quark state?
• Masses, decays and mixings of gluonia in QCD
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• QCD Sum Rules for Skeptics
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Gluon Condensates and m_b(m_b) from QCD-Exponential Moments at Higher Orders
• Open Charm and Beauty Chiral Multiplets in QCD
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• $Z_c^{+}(3900)$ decay width in QCD sum rules
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• Hints on the power corrections from current correlators in x-space
• V-A hadronic tau decays : a laboratory for the QCD vacuum
• Z^* Resonances: Phenomenology and Models
• Muon and tau anomalies updated
• Duality between QCD Perturbative Series and Power Corrections
• QCD Tests of the Puzzling Scalar Mesons
• Strange-quark mass from combined e+e- and tau-decay data:test of the isospin symmetry and implications on epsilon'/εand m_{u,d}
• c,b quark masses and f_D_(s), f_B_(s) decay constants from pseudoscalar sum rules in full QCD to order alpha_s^2
• A QCD sum rule calculation for the Y(4140) narrow structure
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• Strange quark mass from e+e- revisited and present status of light quark masses
• QCD sum rules study of the meson Z^+(4430)
• QCD Parameters Correlations from Heavy Quarkonia
• The Strange Quark Mass From Flavor Breaking in Hadronic Tau Decays
• Light Hybrid Mesons in QCD
• A fresh look into m_{c,b} and precise f_{D_(s),B_(s)} from heavy-light QCD spectral sum rules
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• The $\Delta I=1/2$ Selection Rule
• SU(3) mass-splittings of heavy-baryons in QCD
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• The $\Delta S=1$ Weak Chiral Lagrangian as the Effective Theory of the Chiral Quark Model
• On the role of power expansions in quantum field theory
• Mass-splittings of doubly heavy baryons in QCD
• Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD
• $B^{\ast }B\pi (\gamma )$ couplings and $D^*\rar Dπ(γ) $-decays within a $1/M$-expansion in $full$ QCD
• 1^{-+} light exotic mesons in QCD
• The meson $Z^{+}(4430)$ as a tetraquark state
• On the nature of the X(3872) from QCD
• A New Estimate of ${\epsilon }^{\prime }/\epsilon$
• QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra
• Predictive Ability of QCD Sum Rules for Excited Baryons
• Light Quark Masses 99
• Can the ${\pi }^{+}{\chi }_{c1}$ resonance structures be $D^{\ast }{\bar{D}}^{\ast }$ and $D_1\bar{D}$ molecules?
• A QCD sum rule study for a charged bottom-strange scalar meson
• Topological Charge Screening and the `Proton Spin' Beyond the Chiral Limit
• Gluonia, Scalar and Hybrid Mesons in QCD
• Improved light quark masses from pseudoscalar sum rules
• Predicition for the decay width of a charged state near the $D_s{\bar{D}}^{\ast }/D_s^{\ast }\bar{D}$ threshold
• The sigma and f_0(980) from Ke4 + pi-pi scatterings data
• Nature of the X(5568) : a critical Laplace sum rule analysis at N2LO
• Radiative decay of the X(3872) as a mixed molecule-charmonium state in QCD Sum Rules
• Determination of the pion-nucleon coupling constant from QCD sum rules
• Exotic $1^{--}$ States in QCD Sum Rules
• Predicative Ability of QCD Sum Rules for Decuplet Baryons
• Scalar Mesons in QCD
• Vacuum condensates and the pion wave functions in the nonlocal chiral model
• SVZ + 1/q2 expansion versus some QCD holographic Models
• Light scalar mesons in QCD
• Relating $D^{\ast }{\bar{D}}^{\ast }$ currents with $J^{\pi }=0^{+},1^{+}$ and $2^{+}$ to $Z_c$ states
• QCD Sum Rules for the production of the X(3872) as a mixed molecule-charmonium state in B meson decay
• Masses, decays and mixings of gluonia in QCD
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• The B_{s0} meson and the B_{s0}B K coupling from QCD sum rules
• Exotic B_c-like molecules in QCD Sum Rules
• Dispersive analysis of glueball masses
• Y(4260) as a mixed charmonium-tetraquark state
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• 1-- and 0++ heavy four-quark and molecule states in QCD
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• QCD sum rules with spectral densities solved in inverse problems
• Revisiting f_B and m_b(m_b) from HQET spectral sum rules
• A New Estimate of ${\epsilon }^{\prime }/\epsilon$
• Extracting m_c(M_c) and f_{D_s,B} from the pseudoscalar sum rules
• Isospin Breaking and the Extraction of $m_s$ from the $\tau$-Decay-Like Vector Current Sum Rule
• Tests of the nature and of the gluon content of the σ(0.6) from D and D_{s} semileptonic decays
• Di-Gluonium Sum Rules, I = 0 Scalar Mesons and Conformal Anomaly
• B^0_{d,s} - \bar{B}^0_{d,s} mass-differences from QCD spectral sum rules
• Determination of pion-baryon coupling constants from QCD sum rules
• Strange Quark, Tachyonic Gluon Masses and V_{us} from Hadronic Tau Decays
• Possible $J^{PC}=0^{+-}$ Exotic State
• Can the X(4350) narrow structure be a $1^{-+}$ exotic state?
• Are the pentaquark sum rules reliable?
• Predicting the existence of a 2.9 GeV $D{f}_0(980)$ molecular state
• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Experimental Tests of Asymptotic Freedom
• Isospin-Breaking Vector Meson Decay Constants From Continuous Families of Finite Energy Sum Rules
• Scalar mesons in QCD and tests of the gluon content of the sigma
• Vector and Axial-Vector Spectral Functions and QCD
• A comprehensive revisit of the $\rho$ meson with improved Monte-Carlo based QCD sum rules
• Testing QCD with Hypothetical Tau Leptons
• Exploring the $D^{\ast }\rho$ system within QCD sum rules
• Understanding close-lying exotic charmonia states within QCD sum rules
• Exotic tetraquark states with $J^{PC}=0^{+-}$
• QCD Sum Rule Study for a Possible Charmed Pentaquark Θc(3250)
• Correlations between the strange quark condensate, strange quark mass, and kaon PCAC relation
• Determination of the up/down-quark mass within QCD sum rules in the scalar channel
• The Physics of the Ultraviolet Renormalon
• Constraint on the light quark mass $m_q$ from QCD Sum Rules in the $I=0$ scalar channel
• $\Delta S=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Dispersive analysis of excited glueball states
• Issues in the Extraction of m_s and V_us from Hadronic Tau Decay Data
• Slope of the topological charge, proton spin and $0^{-+}$ pseudoscalar di-gluonia spectra
• Renormalization scheme dependence and the problem of determination of alpha_s and the condensates from the semileptonic tau decays
• 1-- and 0++ Four-Quarks and Molecules from QCD Spectral Sum Rules
• A Sum-Rules Analysis of Next-to-Leading-Order (NLO) QCD Perturbative Contributions to a $J^{PC}=0^{+-}$, $du\bar{d}\bar{u}$ Tetraquark Correlator
• QCD parameters and SM-high precision from $e^{+}{e}^{-}$ to Hadrons: Updated
• CP conserved nonleptonic $K\to \pi \pi \pi$ decays in the Chiral Quark Model
• Field strength correlators in QCD with dynamical fermions
• Perturbative QCD relations inspired by hypothetical tau leptons