QCD determination of the strange-quark mass

Domínguez, C. A.; Gend, C. van; Paver, N.

doi:10.1016/0370-2693(91)91391-8

Cited by 22 publications

(21 citation statements)

References 5 publications

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“…At the same time, to help the reader who might want to reproduce our result, the nf dependence which appears from other sources will be left explicit in the following. Thus, putting together (37) and (44) and taking two derivatives with respect to Q2 we obtain A similar relation has been previously used in a QCD sum rule determination of the strange quark mass [2], where it was interpreted in the spirit of [Ill. As explained earlier, in the approach of [ll] the normal-ordered strange quark condensate (times m,) is identified with the VEV of the RG-invariant combination I, defined at one-loop level in Eq.…”

Section: -"mentioning

confidence: 70%

“…By taking advantage of the fact that their total contribution is RG invariant, we choose p = Q, where the coefficient functions are given by (33)-(36). The matrix elements of the operators (31,2,3 can be scaled a t PO TV 1 GeV with the help of (42), where they are known. This procedure leads to -3 47…”

Section: -"mentioning

confidence: 99%

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confidence: 99%

“…Combining t h e results i n (54) a n d (55) into a single prediction a n d including t h e additional error d u e t o uncertainties i n t h e hadronic parameters leads t o [2], which used t h e s a m e fit t o t h e d a t a , b u t employed t h e QCD approach of [3] t o remove mass singularities. T h e errors we q u o t e for t h e strange q u a r k mass a r e larger t h a n those in [2]. T h i s is mostly d u e t o t h e fact t h a t i n [2] t h e gluon condensate was fixed a t t h e single value ((a,/.rr)G2) = 0.03 GeV4, a n d A was allowed t o change i n t h e narrower interval A = 100-200 MeV.…”

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confidence: 99%

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Mass singularities in light quark correlators: The strange quark case

et al. 1995

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The correlators of light quark currents contain mass singularities of the form l n ( m 2 /~' ) . It has been known for quite some time that these mass logarithms can be absorbed into the vacuum expectation values of other operators of appropriate dimension, provided that schemes without normal ordering are used. We discuss in detail this procedure for the case of the mass logarithms m4 l n ( m ' /~~) , including also the mixing with the other dimension-4 operators to two-loop order. As an application we present an improved QCD sum rule determination of the strange quark mass. We obtain 5ii,(l GeV) = 171 & 15 MeV.

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Section: -"mentioning

confidence: 70%

Section: -"mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Mass singularities in light quark correlators: The strange quark case

et al. 1995

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“…[20] reads m s (M 2 τ ) = (119 ± 14 exp ± 12 Vus ± 10 th ) MeV. Other determinations of m s have been obtained by analyses of the divergence of the vector and axial-vector current two-point function correlators [34,35,36,37,38,39,40,41,42,43,44]. The phenomenological information on the associated scalar and pseudoscalar spectral functions is reconstructed from phase-shift resonance analyses which are yet incomplete over the considered mass range and need to be supplemented by other assumed ingredients, in particular the description of the continuum.…”

Section: Comparison With Other Analysesmentioning

confidence: 99%

Strange quark mass from the invariant mass distribution of Cabibbo-suppressed tau decays

et al. 2001

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Quark mass corrections to the τ hadronic width play a significant role only for the strange quark, hence providing a method for determining its mass. The experimental input is the vector plus axial-vector strange spectral function derived from a complete study of tau decays into strange hadronic final states performed by ALEPH. New results on strange decay modes from other experiments are also incorporated. The present analysis determines the strange quark mass at the Mτ mass scale using moments of the spectral function. Justified theoretical constraints are applied to the nonperturbative components and careful attention is paid to the treatment of the perturbative expansions of the moments which exhibit convergence problems. The result obtained, ms(M 2 τ ) = (120 ± 11exp ± 8V us ± 19 th ) MeV = (120 +21 −26 ) MeV, is stable over the scale from Mτ down to about 1.4 GeV. Evolving this result to customary scales yields ms(1 GeV 2 ) = (160 +28 −35 ) MeV and ms(4 GeV 2 ) = (116 +20 −25 ) MeV.

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An upgraded analysis of ɛ′/ɛ at the next-to-leading order

Ciuchini

Franco

Martinelli

et al. 1995

Z. Phys. C - Particles and Fields

182

355

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An upgraded analysis of ǫ, x d and ǫ ′ /ǫ, using the latest determinations of the relevant experimental and theoretical parameters, is presented. Using the recent determination of the top quark mass, m t = (174 ± 17) GeV, our best estimate is ǫ ′ /ǫ = 3.1 ± 2.5, which lies in the range given by E731. We describe our determination of ǫ ′ /ǫ and make a comparison with other similar studies. A detailed discussion of the matching of the full theory to the effective Hamiltonian, written in terms of lattice operators, is also given.

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QCD determination of the strange-quark mass

Cited by 22 publications

References 5 publications

Mass singularities in light quark correlators: The strange quark case

Mass singularities in light quark correlators: The strange quark case

Strange quark mass from the invariant mass distribution of Cabibbo-suppressed tau decays

An upgraded analysis of ɛ′/ɛ at the next-to-leading order

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