Heavy quark spectroscopy and matrix elements: A lattice study using the static approximation

Ewing, Ann; Flynn, Jonathan M.; Sachrajda, C. T.; Stella, N.; Wittig, Hartmut; Bowler, K.C.; Kenway, R.D.; Mehegan, J.; Richards, David; Michael, C.

doi:10.1103/physrevd.54.3526

Cited by 50 publications

(76 citation statements)

References 65 publications

(129 reference statements)

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“…After we finished the first analysis of our data [13], we found that our value for B B was approximately 30% higher than the result of a similar simulation by the UKQCD collaboration [21]. We suspected that this difference was due to more than just the difference in the actions.…”

Section: Perturbative Matchingmentioning

confidence: 81%

Calculation of theBBparameter in the static limit

1997

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We calculate the B B parameter, relevant for B 0 -B 0 mixing, from a lattice gauge theory simulation at β = 6.0. The bottom quarks are simulated in the static theory, the light quarks with Wilson fermions. Improved smearing functions produced by a variational technique, most, are used to reduce statistical errors and minimize excited-state contamination of the groundstate signal. We obtain B B (4.33 GeV) = 0.98−18 (systematic) which corresponds to B B = 1.40−26 (systematic) for the oneloop renormalization-scheme-independent parameter. The systematic errors include the uncertainty due to alternative (less favored) treatments of the perturbatively-calculated mixing coefficients; this uncertainty is at least as large as residual differences between Wilson-static and clover-static results. Our result agrees with extrapolations of results from relativistic (Wilson) heavy quark simulations.

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Section: Perturbative Matchingmentioning

confidence: 81%

Calculation of theBBparameter in the static limit

1997

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“…MC data for the ground state energy E MC of a static-light meson with the Wilson gauge action can be found in Refs. [42][43][44]. While for the gluon condensate we expected an a 4 -scaling (see Fig.…”

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confidence: 94%

Model Independent Determination of the Gluon Condensate in Four Dimensional SU(3) Gauge Theory

2014

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We determine the non-perturbative gluon condensate of four-dimensional SU(3) gauge theory in a model-independent way. This is achieved by carefully subtracting high order perturbation theory results from non-perturbative lattice QCD determinations of the average plaquette. No indications of dimension two condensates are found. The value of the gluon condensate turns out to be of a similar size as the intrinsic ambiguity inherent to its definition. We also determine the binding energy of a B meson in the heavy quark mass limit.PACS numbers: 12.38. Gc,12.38.Bx,11.55.Hx,12.38.Cy,11.15.Bt The operator product expansion (OPE) [1] is a fundamental tool for theoretical analyses in quantum field theories. Its validity is only proven rigorously within perturbation theory, to arbitrary finite orders [2]. The use of the OPE in a non-perturbative framework was initiated by the ITEP group [3] (see also the discussion in Ref. [4]), which postulated that the OPE of a correlator could be approximated by the following series:where the expectation values of local operators O d are suppressed by inverse powers of a large external momentum Q ≫ Λ QCD , according to their dimensionality d.The Wilson coefficients C d (α) encode the physics at momentum scales larger than Q. These are well approximated by perturbative expansions in the strong coupling parameter α. The large-distance physics is described by the matrix elements O d that usually have to be determined non-perturbatively. Almost all QCD predictions of relevance to particle physics phenomenology are based on factorizations that are generalizations of the above generic OPE.For correlators where O 0 = 1, the first term of the OPE expansion is a perturbative series in α. In pure gluodynamics the first non-trivial gauge invariant local operator has dimension four. Its expectation value is the so-called non-perturbative gluon condensate

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“…[4], UKQCD coll. [12], Christensen et al [13] and also by JLQCD coll. in NRQCD when their results are extrapolated to the infinite mass limit [14].…”

Section: B-parameters From Numerical Simulations On the Latticementioning

confidence: 99%

Width difference in the Bs0-Bs0 system from lattice HQET

Gimenez

Reyes

2001

Nuclear Physics B - Proceedings Supplements

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We present recent results for the prediction of the B 0 s −B 0 s lifetime difference from lattice Heavy Quark Effective Theory simulations. In order to get a next-to-leading order result we have calculated the matching between QCD and HQET and the two loop anomalous dimension in the HQET for all the ∆B = 2 operators, in particular for the operators which enter in the width difference. We obtain for the B 0 s −B 0 s lifetime difference, ∆Γ Bs Γ Bs = (5.1 ± 1.9 ± 1.7) × 10 −2 .

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Heavy quark spectroscopy and matrix elements: A lattice study using the static approximation

Cited by 50 publications

References 65 publications

Calculation of theBBparameter in the static limit

Calculation of theBBparameter in the static limit

Model Independent Determination of the Gluon Condensate in Four Dimensional SU(3) Gauge Theory

Width difference in the Bs0-Bs0 system from lattice HQET

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