QCD sum rules for heavy quark systems

Reinders, L. J.; Rubinstein, H.R.; Yazaki, S.

doi:10.1016/0550-3213(81)90095-x

Cited by 190 publications

(186 citation statements)

References 20 publications

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“…The bottom quark mass values obtained by us are in good agreement to previous determinations from QCD sum rules [22,23,[54][55][56] and a very recent calculation from lattice QCD [57]. Owing to the big sensitivity of the moment sum rules for the Υ system to the quark mass, and the good control over higherorder α s corrections, our result is more precise.…”

Section: Discussionsupporting

confidence: 79%

“…Therefore, they are very sensitive to the heavy quark mass. This fact has been exploited since the very first QCD analyses of charmonium and bottomium [4,[17][18][19][20][21][22][23] to extract rather accurate values of m c and m b . More recently, it has been suggested by Voloshin [24] that the large-n moments can also be used to get a precise determination of α s from the existing data on Υ resonances.…”

Section: Introductionmentioning

confidence: 99%

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Bottom quark mass and αs from the ϒ system

Jamin¹,

Pich²

1997

Nuclear Physics B

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The mass of the bottom quark and the strong coupling constant α s are determined from QCD moment sum rules for the Υ system. Two analyses are performed using both the pole mass M b as well as the mass m b in the M S scheme. In the pole-mass scheme large perturbative corrections resulting from coulombic contributions have to be resummed. In the M S scheme this can be avoided by an appropriate choice for the renormalization scale. For the bottom quark mass we obtain M b = 4.60 ± 0.02 GeV and m b (m b ) = 4.13± 0.06 GeV. Our combined result from both determinations for the strong coupling is α s (M Z ) = 0.119 ± 0.008.

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Section: Discussionsupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Bottom quark mass and αs from the ϒ system

Jamin¹,

Pich²

1997

Nuclear Physics B

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“…After taking into account that our definition, Eq. (3), differs from that in [10] by one additional derivative, the results for the scalar correlator are…”

Section: Qcd Sum Rulesmentioning

confidence: 99%

“…where N = 1, 2, ..., and Q 2 0 ≥ 0 is an external four-momentum squared to be considered as a free parameter [10]. Using Cauchy's theorem in the complex s-plane, which is equivalent to invoking quark-hadron duality, the Hilbert moments become Finite Energy QCD sum rules (FESR), i.e.…”

Section: Qcd Sum Rulesmentioning

confidence: 99%

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(Pseudo)scalar charmonium in finite temperature QCD

et al. 2011

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The hadronic parameters of pseudoscalar (η c ) and scalar (χ c ) charmonium are determined at finite temperature from Hilbert moment QCD sum rules. These parameters are the hadron mass, leptonic decay constant, total width, and continuum threshold (s 0 ). Results for s 0 (T ) in both channels indicate that s 0 (T ) starts approximately constant, and then it decreases monotonically with increasing T until it reaches the QCD threshold, s th = 4m 2 Q , at a critical temperature T = T c ≃ 180 MeV interpreted as the deconfinement temperature. The other hadronic parameters behave qualitatively similarly to those of the J/ψ, as determined in this same framework. The hadron mass is essentially constant, the total width is initially independent of T, and after T /T c ≃ 0.80 it begins to increase with increasing T up to T /T c ≃ 0.90 (0.95) for χ c (η c ), and subsequently it decreases sharply up to T ≃ 0.94 (0.99) T c , for χ c (η c ), beyond which the sum rules are no longer valid. The decay constant of χ c at first remains basically flat up to T ≃ 0.80 T c , then it starts to decrease up to T ≃ 0.90 T c , and finally it increases sharply with increasing T . In the case of η c the decay constant does not change up to T ≃ 0.80 T c where it begins a gentle increase up to T ≃ 0.95 T c beyond which it increases dramatically with increasing T . This behaviour contrasts with that of light-light and heavy-light quark systems, and it suggests the survival of the η c and the χ c states beyond the critical temperature, as already found for the J/ψ from similar QCD sum rules. These conclusions are very stable against changes in the critical temperature in the wide range T c = 180 − 260 MeV.

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Calculations in external fields in quantum chromodynamics. Technical review

et al. 1984

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We review the technique of calculation of operator expansion coefficients. The main emphasis is put on gluon operators which appear in expansion of n‐point functions induced by colourless quark currents. Two convenient schemes are discussed in detail: the abstract operator method and the method based on the Fock‐Schwinger gauge for the vacuum gluon field. We consider a large number of instructive examples important from the point of view of physical applications.

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QCD sum rules for heavy quark systems

Cited by 190 publications

References 20 publications

Bottom quark mass and αs from the ϒ system

Bottom quark mass and αs from the ϒ system

(Pseudo)scalar charmonium in finite temperature QCD

Calculations in external fields in quantum chromodynamics. Technical review

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