Heavy Quarks on the Lattice

Hashimoto, S.; Onogi, Tetsuya

doi:10.1146/annurev.nucl.53.041002.110550

Cited by 17 publications

(9 citation statements)

References 224 publications

(245 reference statements)

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“…The renormalization-scale dependence for the correlation function in (18) comes from three sources. Let us, for the moment, focus on the leading double-logarithmic terms:…”

Section: Renormalization-scale Dependence Of the Correlatormentioning

confidence: 99%

“…However, the non-perturbative dynamics encoded in the light-cone distribution amplitudes and the soft form factors remains undetermined without further phenomenological or theoretical input. In the past, the two "standard" tools to deal with non-perturbative dynamics in QCD were space-time lattice simulations (see for instance [16,17,18]) and QCD/light-cone sum rules (see for instance [19,20,21]). The specific features of the heavy-quark expansion in heavy-to-light transitions at large recoil are reflected in the rather complicated dynamics encoded in SCET.…”

Section: Introductionmentioning

confidence: 99%

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Light-cone sum rules in soft-collinear effective theory

2006

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We derive light-cone sum rules (LCSRs) for exclusive B-meson decays into light energetic hadrons from correlation functions within soft-collinear effective theory (SCET). In these sum rules the short-distance scale refers to "hard-collinear" interactions with virtualities of order Λ QCD m b . Hard scales (related to virtualities of order m 2 b ) are integrated out and enter via external coefficient functions in the sum rule. Soft dynamics is encoded in light-cone distribution amplitudes for the B-meson, which describe both the factorizable and non-factorizable contributions to exclusive B-meson decay amplitudes. As an example, we provide a detailed study of the SCET sum rule for the B → π transition form factor at large recoil, including radiative corrections from hard-collinear loop diagrams at first order in the strong coupling constant. We find remarkable conceptual and numerical differences with the heavy-quark limit of the conventional LCSR approach in QCD.

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“…The renormalization-scale dependence for the correlation function in (18) comes from three sources. Let us, for the moment, focus on the leading double-logarithmic terms:…”

Section: Renormalization-scale Dependence Of the Correlatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light-cone sum rules in soft-collinear effective theory

2006

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“…This is particularly so in B-physics, where the difficulty of simulating light quarks with masses that make contact to the regime where chiral perturbation theory is applicable meets the additional requirement of correctly describing the physics of the heavy b-quark. The former requires lattices of a large enough physical size, say 2 − 3 fm across and the latter a small lattice spacing, a, or the control of an effective theory (see [1,2,3,4,5] for more detailed accounts of the difficulties and recent progress). In this letter we exclusively discuss a method to cope with the discretization errors associated with the heavy quark dynamics.…”

Section: Introductionmentioning

confidence: 99%

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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“…Various ways of coping with this problem have been proposed and investigated. Referring the reader to reviews for other approaches [129][130][131], we directly turn to HQET. Already in 1987 Estia Eichten suggested that to describe the non-perturbative dynamics of hadrons with a single heavy quark, it is a good approximation to consider this quark to be static, i.e.…”

Section: Iii1 Introductionmentioning

confidence: 99%

NON-PERTURBATIVE QCD: RENORMALIZATION, O(A)-IMPROVEMENT AND MATCHING TO HEAVY QUARK EFFECTIVE THEORY

Sommer¹

2007

Perspectives in Lattice QCD

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We give an introduction to three topics in lattice gauge theory:I. The Schrödinger functional and O(a) improvement.O(a) improvement has been reviewed several times. Here we focus on explaining the basic ideas in detail and then proceed directly to an overview of the literature and our personal assessment of what has been achieved and what is missing.II. The computation of the running coupling, running quark masses and the extraction of the renormalization group invariants.We focus on the basic strategy and on the large effort that has been invested in understanding the continuum limit. We point out what remains to be done.III. Non-perturbative Heavy Quark Effective Theory.Since the literature on this subject is still rather sparse, we go beyond the basic ideas and discuss in some detail how the theory works in principle and in practice.

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Heavy Quarks on the Lattice

Cited by 17 publications

References 224 publications

Light-cone sum rules in soft-collinear effective theory

Light-cone sum rules in soft-collinear effective theory

Precision for B-meson matrix elements

NON-PERTURBATIVE QCD: RENORMALIZATION, O(A)-IMPROVEMENT AND MATCHING TO HEAVY QUARK EFFECTIVE THEORY

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