Heavy Quarks on the Lattice

McNeile, Craig

doi:10.1007/978-3-540-40975-5_4

Cited by 6 publications

(9 citation statements)

References 81 publications

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“…BLFQ has been applied successfully to a range of non-perturbative problems, Heavy quarkonium is an ideal laboratory for studying non-perturbative aspects of QCD and their interplay with the perturbative physics [26]. Conventional theoretical tools include the non-relativistic potential models (NRPMs) [27,28], non-relativistic QCD (NRQCD) [29], heavy quark effective field theory [30], Dyson-Schwinger Equations (DSE) [31][32][33][34], and Lattice QCD [35]. The recent discoveries of tetraquark [36] and pentaquark [37] states have renewed interests in the theoretical investigation of heavy quarkonium.…”

Section: Introductionmentioning

confidence: 99%

Heavy quarkonium in a holographic basis

et al. 2016

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We study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front wavefunction (LFWF) as our basis function and solve the non-perturbative dynamics by diagonalizing the Hamiltonian matrix. We obtain the mass spectrum for charmonium and bottomonium. With the obtained LFWFs, we also compute the decay constants and the charge form factors for selected eigenstates. The results are compared with the experimental measurements and with other established methods.including the electron anomalous magnetic moment [16,17], non-linear Compton scattering [18,19] and the positronium spectrum [20,21]. In this paper, we apply the BLFQ approach to the heavy quarkonium.Working with the full QCD Hamiltonian is a formidable task. In practice, we truncate the Fock space to a finite number of particles. The leading-order truncation |qq + |qqg introduces the one-gluon exchange which produces correct short-distance physics as well as the spin-dependent interaction needed for the fine and hyperfine structures. The Abelian version of this interaction was extensively used in the literature [20,[22][23][24][25] to calculate the QED bound-state spectrum in LFD. However, the one-gluon exchange itself is not sufficient to reproduce the hadron spectrum since confinement is also needed. Holographic QCD provides an appealing approximation to confinement.

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Section: Introductionmentioning

confidence: 99%

Heavy quarkonium in a holographic basis

et al. 2016

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“…For light mesons up to D, the weak decay constant tends to increase with the mass, while numerical simulations of quenched lattice-QCD indicate that f D > f B [5], which is still maintained with two flavor sea quarks [5,6]. General arguments, within Dyson-Schwinger formalism for QCD in the heavy quark limit, says that the weak decay constant should be inversely proportional to √ M m [7] (M m is the pseudoscalar meson mass).…”

Section: Introductionmentioning

confidence: 99%

Weak decay constant of pseudoscalar mesons in a QCD-inspired model

Salcedo¹,

Melo²,

Hadjmichef³

et al. 2004

Braz. J. Phys.

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“…Another feature that both models possess is the fact that they are formulated directly in Minkowski space-time, making them complementary to other approaches such as Euclidean Dyson-Schwinger Equations (DSE) [7][8][9][10][11][12][13][14][15] and Lattice QCD [16]. In fact, the shared Minkowskian nature of CST and BLFQ invites a detailed comparison.…”

Section: Introductionmentioning

confidence: 99%

Comparison of two Minkowski-space approaches to heavy quarkonia

Leitão

Maris

et al. 2017

Eur. Phys. J. C

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In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Basis Light-Front Quantization approach, where light-front wave functions are naturally formulated; and, the Covariant Spectator Theory (CST), based on a reorganization of the Bethe-Salpeter equation. Even though conceptually different, both solutions are obtained in Minkowski space. Comparisons of decay constants for more than ten states of charmonium and bottomonium show favorable agreement between the two approaches as well as with experiment where available. We also apply the Brodsky-Huang-Lepage prescription to convert the CST amplitudes into functions of light-front variables. This provides an ideal opportunity to investigate the similarities and differences at the level of the wave functions. Several qualitative features are observed in remarkable agreement between the two approaches even for the rarely addressed excited states. Leading-twist distribution amplitudes as well as parton distribution functions of heavy quarkonia are also analyzed.

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Heavy Quarks on the Lattice

Cited by 6 publications

References 81 publications

Heavy quarkonium in a holographic basis

Heavy quarkonium in a holographic basis

Weak decay constant of pseudoscalar mesons in a QCD-inspired model

Comparison of two Minkowski-space approaches to heavy quarkonia

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