Heavy quark masses 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.2003.10.001

Cited by 59 publications

(77 citation statements)

References 25 publications

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“…Our numbers for M b or m b may then be used as a benchmark result for other methods. Indeed, a comparison shows agreement with [54] and the recent extension of that work [55] m b = 4.42 (7) GeV.…”

Section: Discussionsupporting

confidence: 85%

Heavy quark effective theory computation of the mass of the bottom quark

Morte

Garrón²,

Papinutto

et al. 2007

J. High Energy Phys.

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Section: Discussionsupporting

confidence: 85%

Heavy quark effective theory computation of the mass of the bottom quark

Morte

Garrón²,

Papinutto

et al. 2007

J. High Energy Phys.

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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%

“…The RGI-mass is related to the bare one by a non-perturbatively computed renormalization factor Z m [25], see e.g. [21] for details. Finite mass observables after continuum extrapolation.…”

Section: Results In the Quenched Approximationmentioning

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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“…Different approaches are available on the market to face this problem [3]. I describe a new method which has been developed by the APE group at the University of Rome "Tor Vergata" [1,2], called the step scaling method at Lattice 2002 conference [4].…”

Section: Introductionmentioning

confidence: 99%

Heavy-light decay constants from the step scaling method

Palombi

2004

Nuclear Physics B - Proceedings Supplements

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We discuss results for the heavy-light decay constants in the continuum limit of quenched lattice QCD from finite size scaling techniques. We disentangle the simultaneous presence of the different energy scales characterizing heavy-light physics by first performing simulations at the unphysical volume L0 = 0.4 fm, and then evolving the results towards the infinite volume. We find fB s = 192(6)(4) MeV and fD s = 240(5)(5) MeV. The approach has been developed by the APE group at the University of Rome "Tor Vergata".

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Heavy quark masses in the continuum limit of quenched Lattice QCD

Cited by 59 publications

References 25 publications

Heavy quark effective theory computation of the mass of the bottom quark

Heavy quark effective theory computation of the mass of the bottom quark

Precision for B-meson matrix elements

Heavy-light decay constants from the step scaling method

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