Heavy–light decay constants in the continuum limit of quenched lattice QCD

Divitiis, Giulia Maria de; Guagnelli, M.; Palombi, Filippo; Petronzio, R.; Tantalo, Nazario

doi:10.1016/j.nuclphysb.2003.09.013

Cited by 40 publications

(50 citation statements)

References 46 publications

(58 reference statements)

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“…The data at finite heavy quark mass are taken from [21,22]. As there, we choose N = 2 steps, s = 2 and L 0 = 0.4 fm.…”

Section: Results In the Quenched Approximationmentioning

confidence: 99%

“…This finite size effect is negligible when L is large enough, which we here assume to be the case for L ≥ L N . Following [21,22], we express O as a product of factors,…”

Section: Strategymentioning

confidence: 99%

“…For their detailed accumulation we refer to [44]. An impression on the quality of the continuum extrapolations is easily obtained from the graphs in [21,22,44]. Since here our emphasis is on the use of the static approximation, we do not reproduce those details.…”

Section: At Finite Heavy Quark Massmentioning

confidence: 99%

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Precision for B-meson matrix elements

Guazzini¹,

Sommer²,

Tantalo

2008

J. High Energy Phys.

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We demonstrate how HQET and the Step Scaling Method for B-physics, pioneered by the Tor Vergata group, can be combined to reach a further improved precision. The observables considered are the mass of the b-quark and the B smeson decay constant. The demonstration is carried out in quenched lattice QCD. We start from a small volume, where one can use a standard O(a)-improved relativistic action for the b-quark, and compute two step scaling functions which relate the observables to the large volume ones. In all steps we extrapolate to the continuum limit, separately in HQET and in QCD for masses below m b . The physical point m b is then reached by an interpolation of the continuum results in 1/m. The essential, expected and verified, feature is that the step scaling fuctions have a weak mass-dependence resulting in an easy interpolation to the physical point. With r 0 = 0.5 fm and the experimental B s and K masses as input, we find F Bs = 191(6) MeV and the renormalization group invariant mass M b = 6.88(10) GeV, translating into m b (m b ) = 4.42(6) GeV in the MS scheme. This approach seems very promising for full QCD.

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“…The data at finite heavy quark mass are taken from [21,22]. As there, we choose N = 2 steps, s = 2 and L 0 = 0.4 fm.…”

Section: Results In the Quenched Approximationmentioning

confidence: 99%

“…This finite size effect is negligible when L is large enough, which we here assume to be the case for L ≥ L N . Following [21,22], we express O as a product of factors,…”

Section: Strategymentioning

confidence: 99%

See 1 more Smart Citation

Precision for B-meson matrix elements

Guazzini¹,

Sommer²,

Tantalo

2008

J. High Energy Phys.

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“…We deal with these two scales in (quenched) lattice QCD with the SSM introduced in [2,3], but constraining the large mass behaviour by HQET [4]. The computation of an observable O(m h ) using the SSM is based on the identity…”

Section: Hqet and Step Scaling Methods (Ssm)mentioning

confidence: 99%

Mb and fBs from a combination of HQET and QCD

Guazzini¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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We compute the mass of the b-quark and the B s meson decay constant in quenched lattice QCD using a combination of HQET and the standard relativistic QCD Lagrangian. We start from a small volume, where one can directly deal with the b-quark, and compute the evolution to a big volume, where the finite size effects are negligible through step scaling functions which give the change of the observables when L is changed to 2L. In all steps we extrapolate to the continuum limit, separately in HQET and in QCD for masses below m b . The point m b is then reached by an interpolation of the continuum results. With r 0 = 0.5 fm and the experimental B s and K masses we find f B s = 191(6) MeV and the renormalization group invariant mass M b = 6.89(11) GeV, translating into m b (m b ) = 4.42(7) GeV in the MS scheme.

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“…Thanks to rapid growth of computational resources, discretization errors in this approach for a relatively light heavy quark like charm are beginning to be brought under control. Several studies have already been made in this direction [19,20,21,22,23].…”

Section: Introductionmentioning

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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Heavy–light decay constants in the continuum limit of quenched lattice QCD

Cited by 40 publications

References 46 publications

Precision for B-meson matrix elements

Precision for B-meson matrix elements

Mb and fBs from a combination of HQET and QCD

Charm as a domain wall fermion in quenched lattice QCD

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