The charm quark's mass in quenched QCD

Rolf, Juri; Sint, Stefan

doi:10.1016/s0920-5632(01)01675-9

Cited by 8 publications

(5 citation statements)

References 16 publications

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“…The hyperfine splitting with M( 1 S 0 ) fixed to the experimental η c value will be used below when we estimate the systematic uncertainty in our calculation. An alternative possibility, which we have not explored, would be to fix the charm quark point by using the D s meson mass, as done for instance in heavylight spectroscopy and for the determination of the charm quark mass [30,31]. This would be free of OZI ambiguities.…”

Section: Charmonium Spectrum From Non-perturbatively Improved Clover ...mentioning

confidence: 99%

“…We can also make use of formulas ( 5) and ( 6) to extract an estimate of the magnitude of non-perturbative contributions to the wave function at the origin (δ NP ). For this we use m c (m c ) = 1.301 (34) GeV from [30] and extract from the equations both δ NP and α s . Plugging our values for |Ψ ηc (0)| 2 and |Ψ J/ψ (0)| 2 gives δ NP = −0.12 and α s = 0.761.…”

Section: Wave Functionsmentioning

confidence: 99%

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Quenched charmonium spectrum

Choe¹,

Forcrand²,

Pérez³

et al. 2003

J. High Energy Phys.

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We study charmonium using the standard relativistic formalism in the quenched approximation, on a set of lattices with isotropic lattice spacings ranging from 0.1 to 0.04 fm. We concentrate on the calculation of the hyperfine splitting between η c and J/ψ, aiming for a controlled continuum extrapolation of this quantity. The splitting extracted from the non-perturbatively improved clover Dirac operator shows very little dependence on the lattice spacing for a ≤ 0.1fm. The dependence is much stronger for Wilson and tree-level improved clover operators, but they still yield consistent extrapolations if sufficiently fine lattices, a ≤ 0.07 fm (aM(η c ) ≤ 1), are used. Our result for the hyperfine splitting is 77(2)(6) MeV (where Sommer's parameter, r 0 , is used to fix the scale). This value remains about 30% below experiment. Dynamical fermions and OZI-forbidden diagrams both contribute to the remainder. Results for the η c and J/ψ wave functions are also presented.

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Section: Charmonium Spectrum From Non-perturbatively Improved Clover ...mentioning

confidence: 99%

Section: Wave Functionsmentioning

confidence: 99%

Quenched charmonium spectrum

Choe¹,

Forcrand²,

Pérez³

et al. 2003

J. High Energy Phys.

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“…For the charmed quark, a preliminary study shows that these effects are under control for the spectrum, if one takes the continuum limit. 133 To get a semi-quantitative feel for the uncertainties, let us consider a generic quantity Q with heavy quark expansion…”

Section: Lattice Spacing Effects: Symanzik Effective Field Theorymentioning

confidence: 99%

Uses of Effective Field Theory in Lattice QCD

Kronfeld

2002

At the Frontier of Particle Physics

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Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out large-scale numerical calculations in lattice gauge theory. As in any numerical technique, there are several sources of uncertainty. This chapter explains how effective field theories are used to keep them under control and, then, obtain a sensible error bar. After a short survey of the numerical technique, we explain why effective field theories are necessary and useful. Then four important cases are reviewed: Symanzik's effective field theory of lattice spacing effects; heavy-quark effective theory as a tool for controlling discretization effects of heavy quarks; chiral perturbation theory as a tool for reaching the chiral limit; and a general field theory of hadrons for deriving finite volume corrections.

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“…To complete the picture, the results for the c (Rolf & Sint 2002) Note the wide range in mass scales, which is one reason why QCD simulations are so costly. It is neither possible nor necessary to compute the t quark mass in lattice QCD, since, being so high, it can be determined accurately using perturbation theory.…”

Section: (A) Quark Massesmentioning

confidence: 99%

Simulation of the strong interaction

Kenway

2002

Philosophical Transactions of the Royal Society of London. Seri

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In the Standard Model (SM) of particle physics, quarks are permanently confined by the strong interaction into bound states called hadrons. The values of some parameters, such as the quark masses and the strengths of the decays of one quark flavour into another, cannot be measured directly and must be deduced from experiments on hadrons. This requires calculations of the strong-interaction effects within the bound states, which are only possible using numerical simulations of quantum chromodynamics (QCD), the quantum field theory of the strong interaction. In conjunction with experimental data from B factories over the next few years, QCD simulations may provide clues to physics beyond the SM. The simulations are computationally intensive and, for the past 20 years, have exploited leading-edge computing technology. This continues today, with a project to develop a 10 Tflops computer for QCD costing less than 1 US dollar per Mflops.

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The charm quark's mass in quenched QCD

Cited by 8 publications

References 16 publications

Quenched charmonium spectrum

Quenched charmonium spectrum

Uses of Effective Field Theory in Lattice QCD

Simulation of the strong interaction

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