Decay constants and spectroscopy of mesons in lattice QCD using domain-wall fermions

Fahy, Brendan; Cossu, Guido; Hashimoto, S.; Kaneko, T.; Noaki, J.; Tomii, Masaaki

doi:10.48550/arxiv.1512.08599

Cited by 10 publications

(15 citation statements)

References 8 publications

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“…Direct applications of our results are the calculation of meson decay constants and quark masses. Some preliminary results are found in [26]. The (pseudo)scalar renormalization factor is also necessary for the determination of the chiral condensate, which characterizes the spontaneous broken chiral symmetry in QCD.…”

Section: Correlators πmentioning

confidence: 99%

Renormalization of domain-wall bilinear operators with short-distance current correlators

et al. 2016

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We determine the renormalization constants for flavor non-singlet fermion bilinear operators of Möbius domain-wall fermions. The renormalization condition is imposed on the correlation functions in the coordinate space, such that the non-perturbative lattice calculation reproduces the perturbatively calculated counterpart at short distances. The perturbative expansion is precise as the coefficients are available up to O(α 4 s ). We employ 2 + 1-flavor lattice ensembles at three lattice spacings in the range 0.044-0.080 fm. * tomii@post.kek.jp

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Section: Correlators πmentioning

confidence: 99%

Renormalization of domain-wall bilinear operators with short-distance current correlators

et al. 2016

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“…Discretization effects for the charm quark are under good control, as the previous calculation of the charm quark mass suggests [30]. The extrapolation towards the bottom quark still needs extra care [21,31], where we introduced the reinterpretation of the heavy quark propagator according to [32]. In this work, since the propagation of the b quark cancels between the numerator and denominator of ( 16), such reinterpretation does not affect the result.…”

Section: Setupmentioning

confidence: 93%

“…With the relatively large lattice cutoff of our ensemble, the charm quark can be treated as in the same manner as for light quarks. Our recent calculation of the D (s) meson decay constant [21] suggests that the discretization effect is well under control.…”

Section: Introductionmentioning

confidence: 99%

Inclusive semi-leptonic B meson decay structure functions from lattice QCD

Hashimoto

2017

Progress of Theoretical and Experimental Physics

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We propose a method to non-perturbatively calculate the forward-scattering matrix elements relevant to inclusive semi-leptonic B meson decays. Corresponding hadronic structure functions at unphysical kinematics are accessible through lattice QCD calculation of four-point correlation functions. The unphysical kinematical point may be reached by analytic continuation from the physical differential decay rate. A numerical test is performed for the B s → X c ℓν mode in the zero-recoil limit. We use lattice ensembles generated with 2+1 dynamical quark flavors. The valence c quark mass is tuned to its physical value, while the b quark mass is varied in the range (1.56-2.44)m c . From the numerical results we can identify the contributions of the ground state D ( * ) s meson as well as those of excited states or continuum states.

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“…The pion mass and decay constant are computed combining the pseudoscalar correlators with local and smeared source operators. Details of the computation are presented in a separate article [44]. -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Q Fig.…”

Section: Lattice Set-upmentioning

confidence: 99%

Topological susceptibility of QCD with dynamical Möbius domain-wall fermions

Aoki¹,

Cossu

Fukaya

et al. 2018

Progress of Theoretical and Experimental Physics

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We compute the topological susceptibility χ t of lattice QCD with 2 + 1 dynamical quark flavors described by the Möbius domain wall fermion. Violation of chiral symmetry as measured by the residual mass is kept at ∼1 MeV or smaller. We measure the fluctuation of the topological charge density in a "slab" sub-volume of the simulated lattice using the method proposed by Bietenholz et al. The quark mass dependence of χ t is consistent with the prediction of chiral perturbation theory, from which the chiral condensate is extracted as Σ MS (2GeV) = [274(13)(29)MeV] 3 , where the first error is statistical and the second one is systematic. Combining the results for the pion mass M π and decay constant F π , we obtain χ t = 0.229(03)(13)M 2 π F 2 π at the physical point.

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Decay constants and spectroscopy of mesons in lattice QCD using domain-wall fermions

Cited by 10 publications

References 8 publications

Renormalization of domain-wall bilinear operators with short-distance current correlators

Renormalization of domain-wall bilinear operators with short-distance current correlators

Inclusive semi-leptonic B meson decay structure functions from lattice QCD

Topological susceptibility of QCD with dynamical Möbius domain-wall fermions

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