Heavy-quark renormalization parameters in nonrelativistic QCD

Davies, C. T. H.; Thacker, Beth

doi:10.1103/physrevd.45.915

Cited by 42 publications

(74 citation statements)

References 5 publications

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“…√ 2Z L is equal to f B √ M B in the f π = 132 MeV convention, modulo a lattice-to-continuum renormalisation constant. This renormalisation constant has only been calculated for an NRQCD action with no σ.B term and with no u 0 transformation of the U µ [8]. A fairly large O(g 2 ) contribution was found in that case, but a major component of it was the wave function renormalisation of the heavy quark.…”

Section: F Bmentioning

confidence: 90%

Heavy-light physics with NRQCD

1994

Nuclear Physics B - Proceedings Supplements

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First results are obtained for B mesons using a heavy propagator calculated using NRQCD, and a light Wilson propagator. Results from 13 quenched configurations of size 16 3 × 48 at β = 6.0 give a value for fB of less than 200 MeV and a B * −B splitting of 32(8) MeV. Superior signal/noise behaviour is observed over static propagators on the same configurations. No extrapolation to the b mass for the heavy quark is required.

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Section: F Bmentioning

confidence: 90%

Heavy-light physics with NRQCD

1994

Nuclear Physics B - Proceedings Supplements

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“…Both factors are calculated at the one-loop level [16,17,19], 5) and the numerical coefficients A and B are given in Table I of [19]. The heavy-light meson mass evaluated with (6.3) using the V -scheme coupling α V (q * ) [24] at q * = 1/a is listed in Table X.…”

Section: Results For the Form Factors A Energy-momentum Dispersimentioning

confidence: 99%

“…One may use perturbation theory to achieve this tuning. For example, one-loop calculation of energy shift and mass renormalization was carried out for lattice NRQCD by Davies and Thacker [16] and by Morningstar [17] sometime ago, and then by ourselves [18][19][20] for the above particular form of the NRQCD action. 1 To improve the perturbative expansion we utilize the tadpole improvement procedure where all the gauge links in the action (3.2) are divided by its mean field value u 0 determined from the plaquette expectation value as u 0 ≡ ( TrU P /3) 1/4 .…”

Section: Lattice Nrqcdmentioning

confidence: 99%

Differential decay rate ofB→πlνsemileptonic decay with lattice nonrelativistic QCD

et al. 2001

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We present a lattice QCD calculation of B → πlν semileptonic decay form factors in the small pion recoil momentum region. The calculation is performed on a quenched 16 3 × 48 lattice at β = 5.9 with the NRQCD action including the full 1/M terms. The form factors f 1 (v · k π ) and f 2 (v · k π ) defined in the heavy quark effective theory for which the heavy quark scaling is manifest are adpoted, and we find that the 1/M correction to the scaling is small for the B meson. The dependence of form factors on the light quark mass and on the recoil energy is found to be mild, and we use a global fit of the form factors at various quark masses and recoil energies to obtain model independent results for the physical differential decay rate. We find that the B * pole contribution dominates the form factor f + (q 2 ) for small pion recoil energy, and obtain the differential decay rate integrated over the kinematic region q 2 > 18 GeV 2 to be |V ub | 2 × (1.18 ± 0.37 ± 0.08 ± 0.31) psec −1 , where the first error is statistical, the second is that from perturbative calculation, and the third is the systematic error from finite lattice spacing and the chiral extrapolation. We also discuss the systematic errors in the soft pion limit

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“…[78] to [80] present calculations of two of these quantities to first order in α s : the renormalization factor Z m , which connects the bare lattice heavy quark mass to its pole mass, and E 0 , the shift from zero of the nonrelativistic energy of a heavy quark at rest. Ref.…”

Section: Quark Mass and Energy Renormalization In Lattice Nrqcdmentioning

confidence: 99%

Scale setting forαsbeyond leading order

2003

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We present a general procedure for incorporating higher-order information into the scale-setting prescription of Brodsky, Lepage and Mackenzie. In particular, we show how to apply this prescription when the leading coefficient or coefficients in a series in the strong coupling αs are anomalously small and the original prescription can give an unphysical scale. We give a general method for computing an optimum scale numerically, within dimensional regularization, and in cases when the coefficients of a series are known. We apply it to the heavy quark mass and energy renormalization in lattice NRQCD, and to a variety of known series. Among the latter, we find significant corrections to the scales for the ratio of e + e − to hadrons over muons, the ratio of the quark pole to MS mass, the semi-leptonic B-meson decay width, and the top decay width. Scales for the latter two decay widths, expressed in terms of MS masses, increase by factors of five and thirteen, respectively, substantially reducing the size of radiative corrections.

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Heavy-quark renormalization parameters in nonrelativistic QCD

Cited by 42 publications

References 5 publications

Heavy-light physics with NRQCD

Heavy-light physics with NRQCD

Differential decay rate ofB→πlνsemileptonic decay with lattice nonrelativistic QCD

Scale setting forαsbeyond leading order

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