Erratum: Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections [Phys. Rev. D<b>89</b>, 031502(R) (2014)]

Dowdall, R. J.; Davies, C. T. H.; Hammant, Thomas C.; Horgan, R.R.; Hughes, Ciaran

doi:10.1103/physrevd.92.039904

Cited by 45 publications

(122 citation statements)

References 2 publications

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“…For NRQCD the dominant source of such effects for the vector to pseudoscalar meson mass difference is the term proportional to c 4 in the NRQCD Hamiltonian, Eq. (2) [10,22].…”

Section: Discussionmentioning

confidence: 99%

“…The action used here builds on the standard NRQCD action [19] accurate through v 4 in the heavy quark velocity v (using power-counting terminology for bottomonium) by including one-loop radiative corrections to many of the v 4 coefficients [6,20]. We studied the effect of these improvements on the bottomonium spectrum in [6,21,22] and in B, B s and B c meson masses in [10].…”

Section: A Nrqcd Valence Quarksmentioning

confidence: 99%

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B-meson decay constants: A more complete picture from full lattice QCD

et al. 2015

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We extend the picture of B-meson decay constants obtained in lattice QCD beyond those of the B, B s and B c to give the first full lattice QCD results for the B Ã , B Ã s and B Ã c . We use improved nonrelativistic QCD for the valence b quark and the highly improved staggered quark (HISQ) action for the lighter quarks on gluon field configurations that include the effect of u=d, s and c quarks in the sea with u=d quark masses going down to physical values. For the ratio of vector to pseudoscalar decay constants, we find f B Ã =f B ¼ 0.941ð26Þ, f B Ã s =f B s ¼ 0.953ð23Þ (both 2σ less than 1.0) and f B Ã c =f B c ¼ 0.988ð27Þ. Taking correlated uncertainties into account we see clear indications that the ratio increases as the mass of the lighter quark increases. We compare our results to those using the HISQ formalism for all quarks and find good agreement both on decay constant values when the heaviest quark is a b and on the dependence on the mass of the heaviest quark in the region of the b. Finally, we give an overview plot of decay constants for gold-plated mesons, the most complete picture of these hadronic parameters to date.

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“…For NRQCD the dominant source of such effects for the vector to pseudoscalar meson mass difference is the term proportional to c 4 in the NRQCD Hamiltonian, Eq. (2) [10,22].…”

Section: Discussionmentioning

confidence: 99%

Section: A Nrqcd Valence Quarksmentioning

confidence: 99%

B-meson decay constants: A more complete picture from full lattice QCD

et al. 2015

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“…Including aδH v 6 terms in the evolution equations makes the η b kinetic mass lower than that of the Υ, as they include relativistic corrections to the σ · B term. The spin-averaged kinetic mass gets smaller and the bare quark mass gets larger [16].…”

Section: B B-quarks Using Nrqcdmentioning

confidence: 99%

“…We use a lattice NRQCD action correct through O(v 4 ), with additional spin-dependent O(v 6 ) terms 1 and include discretisation corrections. This lattice formalism has already been used successfully to study bottomonium S, P and D wave mass splittings [13,15], precise hyperfine splittings [16,17], B meson decay constants [18], Υ and Υ leptonic widths [19] and B, D meson mass splittings [17]. The Hamiltonian evolution equations can be written as…”

Section: B B-quarks Using Nrqcdmentioning

confidence: 99%

“…However, relativistic corrections to σ · B (the term proportional to c 7 in the Hamiltonian above) are needed to correctly feed this splitting into the kinetic mass. On a fine lattice, a value of c 4 = 1.18 and c 7 = 1.25 was needed to yield a hyperfine splitting using kinetic masses which agreed with experiment within errors [16]. In order to remove the sensitivity to the σ · B term when tuning am b , one does not use the kinetic mass of a single state, but the spin-averaged kinetic mass of the Υ and η b [13,21].…”

Section: B B-quarks Using Nrqcdmentioning

confidence: 99%

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Hindered M1 radiative decay ofϒ(2S)from lattice NRQCD

et al. 2015

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We present a calculation of the hindered M1 Υ(2S) → η b (1S)γ decay rate using lattice nonrelativistic QCD. The calculation includes spin-dependent relativistic corrections to the NRQCD action through O(v 6 ) in the quark's relative velocity, relativistic corrections to the leading order current which mediates the transition through the quark's magnetic moment, radiative corrections to the leading spin-magnetic coupling and for the first time a full error budget. We also use gluon field ensembles at multiple lattice spacing values, all of which include u, d, s and c quark vacuum polarisation. Our result for the branching fraction is B(Υ(2S) → η b (1S)γ) = 5.4(1.8) × 10 −4 , which agrees with the current experimental value.

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Coulomb artifacts and bottomonium hyperfine splitting in lattice NRQCD

Liu

Penin

Rayyan

2017

J. High Energ. Phys.

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Abstract:We study the role of the lattice artifacts associated with the Coulomb binding effects in the analysis of the heavy quarkonium within lattice NRQCD. We find that a "naïve" perturbative matching generates spurious linear Coulomb artifacts, which result in a large systematic error in the lattice predictions for the heavy quarkonium spectrum. This effect is responsible, in particular, for the discrepancy between the recent determinations of the bottomonium hyperfine splitting in the radiatively improved lattice NRQCD [1,2]. We show that the correct matching procedure which provides full control over discretization errors is based on the asymptotic expansion of the lattice theory about the continuum limit, which gives M Υ(1S) − M η b (1S) = 52.9 ± 5.5 MeV [1].

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Erratum: Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections [Phys. Rev. D89, 031502(R) (2014)]

Cited by 45 publications

References 2 publications

B-meson decay constants: A more complete picture from full lattice QCD

B-meson decay constants: A more complete picture from full lattice QCD

Hindered M1 radiative decay ofϒ(2S)from lattice NRQCD

Coulomb artifacts and bottomonium hyperfine splitting in lattice NRQCD

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