Mass singularities in light quark correlators: The strange quark case

Chetyrkin, K.G.; Domínguez, C. A.; Pirjol, Dan; Schilcher, Karl

doi:10.1103/physrevd.51.5090

Cited by 78 publications

(110 citation statements)

References 26 publications

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“…Even more spread are the values deduced with this method by various authors for the s-quark mass [36][37][38][39][40]. A combination of all these derivations: m s (1 GeV) = 170 ± 50 MeV [40] evidentiates how large is the uncertainty in the estimate of m s .…”

Section: Mass Ratiomentioning

confidence: 99%

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Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Bottino

Donato

Fornengo

et al. 2000

Astroparticle Physics

172

179

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We discuss the effect induced on the neutralino-nucleon cross-section by the present uncertainties in the values of the quark masses and of the quark scalar densities in the nucleon. We examine the implications of this aspect on the determination of the neutralino cosmological properties, as derived from measurements of WIMP direct detection. We show that, within current theoretical uncertainties, the DAMA annual modulation data are compatible with a neutralino as a major dark matter component, to an extent which is even larger than the one previously derived. We also comment on implications of the mentioned uncertainties for experiments of indirect dark matter detection. *

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Section: Mass Ratiomentioning

confidence: 99%

“…[34], one uses m s (1 GeV) = 175 ± 25 MeV (27) (which combines the results of Refs. [36,37]) and takes m u + m d = 12.0 ± 2.5 (see Eq. (25)), one obtains…”

Section: Mass Ratiomentioning

confidence: 99%

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Bottino

Donato

Fornengo

et al. 2000

Astroparticle Physics

172

179

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“…Note that the peculiar π/α s terms cancel. The full result depends logarithmically on the renormalization point µ and on the parameters of the theory, like α s , m s , and condensates, which are renormalized at µ; however, as has been advocated in [13], we implement the RG improvement for the case of the scalar correlator in the following way: ψ ′′ (Q 2 ) is evaluated at µ = Q, and the parameters α s and m s are extrapolated from a chosen reference point (in our case Λ MS ) to µ = Q using the four-loop beta functions (compiled in [13]). The condensates are so poorly known and their effect at the chosen scale Q 2 = 4 GeV 2 so small that their µ dependence may be ignored.…”

Section: The Scalar Correlator In Qcdmentioning

confidence: 99%

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

Lebed

Schilcher

1998

Physics Letters B

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We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K → πℓν ℓ to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation incorporates up to four-loop corrections, while the hadronic side uses a recently developed parameterization constructed explicitly to satisfy the dispersive constraints. Using chiral perturbation theory (χPT) as a model for soon-to-be measured data, we find a series of lower bounds on m s increasing with the accuracy to which one believes χPT to represent the full QCD result.11.55. Fv, 13.20.Eb, 12.15.Ff, 12.39.Fe Typeset using REVT E X * lebed@jlab.org † Permanent address:

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“…Fortunately, the existing determinations of the quark mass difference m s − m u (see e.g. the recent analyses in [47,48,49], from which earlier references can be traced back) are on less speculative grounds. They are based on sum rules which involve the two-point function of the divergence of the vector currentsγ µ u; the corresponding spectral function can be normalised using experimental data in a rather model-independent way.…”

Section: Dimensional Analysis and Order Of Magnitude Estimatesmentioning

confidence: 99%

The low energy ππ amplitude to one and two loops

Knecht

Moussallam

Sterna³

et al. 1995

Nuclear Physics B

223

369

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The low-energy ππ amplitude is computed explicitly to two-loop accuracy in the chiral expansion. It depends only on six independent (combinations of) low-energy constants which are not fixed by chiral symmetry. Four of these constants are determined via sum rules which are evaluated using ππ scattering data at higher energies. Dependence of the low-energy phase shifts and of the threshold parameters on the remaining two constants (called α and β) are discussed and compared to the existing data from K l4 experiments. Using generalised χPT, the constants α and β are related to fundamental QCD parameters such as the quark condensate 0|qq|0 and the quark mass ratio m s / m. It is shown that forthcoming accurate low-energy ππ data can be used to provide, for the first time, experimental evidence in favour of or against the existence of a large quarkantiquark condensate in the QCD vacuum.

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Mass singularities in light quark correlators: The strange quark case

Cited by 78 publications

References 26 publications

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

The low energy ππ amplitude to one and two loops

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