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Yamada, Masahiko; Yamane, Hiroyasu; Takano, Yasushi; Ukai, Yasuo

doi:10.1023/a:1002912325702

Cited by 31 publications

(28 citation statements)

References 12 publications

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“…the QCD partition function Z = T ×L 3 D[A, ψ, ψ] e −S[A,ψ,ψ] on a T × L 3 cylinder in Euclidean space, where periodic boundary conditions in the spatial directions of length L and Dirichlet boundary conditions at times x 0 = 0, T are imposed on the gluon and quark fields. 1 Their exact form can be found in Ref. [21].…”

Section: Intermediate Renormalization Schemementioning

confidence: 99%

“…However, with its large mass, the b-quark still escapes a direct numerical treatment [1] and effective theories have to be used to separate the large mass scale from the low-energy bound-state dynamics. (As an exception to this rule, it has recently been demonstrated that also finite-volume methods on lattices with a large number of points represent a possible alternative [2,3].…”

Section: Introductionmentioning

confidence: 99%

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Non-perturbative renormalization of the static axial current in quenched QCD

2003

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Section: Intermediate Renormalization Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non-perturbative renormalization of the static axial current in quenched QCD

2003

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“…This section surveys physics results, although less thoroughly than in the past two years [56,57]. It now makes sense to focus on unquenched calculations, which are just beginning.…”

Section: Spectrum and Ckm Resultsmentioning

confidence: 99%

“…These values are probably robust, because the bag factors seem to be insensitive to n f [57], and the chiral uncertainty is a fraction of the total. Recommendations for f Bs , f B d , and ξ are less straightforward.…”

Section: Semi-leptonic Decaysmentioning

confidence: 99%

Heavy quarks and lattice QCD

Kronfeld

2004

Nuclear Physics B - Proceedings Supplements

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This paper is a review of heavy quarks in lattice gauge theory, focusing on methodology. It includes a status report on some of the calculations that are relevant to heavy-quark spectroscopy and to flavor physics. MOTIVATIONThe study of flavor-and CP -violation is a vital part of particle physics [1]. Often lattice QCD is needed to connect experimental measurements to the fundamental couplings of quarks, which, in the Standard Model, are elements of the CabibboKobayashi-Maskawa (CKM) matrix. Usually the test of CKM is drawn as a set of constraints on the apex of the so-called unitarity triangle (UT). The Particle Data Group's version [2] is shown in Fig. 1. Apart from the wedge sin 2β, theoretical uncertainties dominate, and everyone wonders whether they are reducible and, if so, reliable. Indeed, as Martin Beneke [3] put it at Lattice 2001, the "Standard UT fit is now entirely in the hands of Lattice QCD (up to, perhaps, |V ub |)."The needed hadronic matrix elements are among the simplest in lattice QCD, so we can hope to carry out a full and reliable error analysis. Two criteria are key: First, there must be one stable (or very narrow) hadron in the initial state and one or none in the final state; second, the chiral extrapolation must be under control. Such quantities can be called gold-plated, to remind us that they are the most robust. (They are conceptually and technically much simpler than non-leptonic decays, or resonance masses and widths.) Moreover, realistic, unquenched simulations for gold-plated quantities now seem to be feasible [4,5].Much is at stake. Fits to the CKM matrix are often described as over-constraining the Standard Model, but they are really a test. With (reliable) error bars of a few percent one can imagine a picture like Fig. 2. The base, the angle γ, and the left side come from B (and other) decays that proceed at the tree level of the electroweak interactions. They can be considered to measure the UT's apex. The side labeled "V * td V tb " is obtained from the frequency of B 0 -B 0 mixing; the angle β through the interference of decay with and without mixing. Standard mixing proceeds through box diagrams, so non-Standard processes could compete. Thus, this side tests the CKM theory.

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“…[84,85], some static limit B parameters obtained from extrapolation from charm region with simple linear function in 1/m heavy were found disagreeing with direct static calculations: after all the charm mass may not be sufficiently heavy to justify such a simple extrapolation to the static limit. However, as a mere byproduct of our work on charm, the extrapolation may still be instructive.…”

Section: Extrapolation To Static B Mesonsmentioning

confidence: 99%

Charm as a domain wall fermion in quenched lattice QCD

et al. 2006

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We report a study describing the charm quark by a domain-wall fermion (DWF) in lattice quantum chromodynamics (QCD). Our study uses a quenched gauge ensemble with the DBW2 rectangle-improved gauge action at a lattice cutoff of a −1 ∼ 3 GeV. We calculate masses of heavy-light (charmed) and heavy-heavy (charmonium) mesons with spin-parity J P = 0 ∓ and 1 ∓ , leptonic decay constants of the

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Cited by 31 publications

References 12 publications

Non-perturbative renormalization of the static axial current in quenched QCD

Non-perturbative renormalization of the static axial current in quenched QCD

Heavy quarks and lattice QCD

Charm as a domain wall fermion in quenched lattice QCD

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