Anatomy of the ρ resonance from lattice QCD at the physical point

Sun, Wei; Alexandru, Andrei; Chen, Ying; Draper, Terrence; Li, Zhaofeng; Yang, Yi-Bo

doi:10.1088/1674-1137/42/6/063102

Cited by 13 publications

(12 citation statements)

References 52 publications

(58 reference statements)

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“…In Ref. [6][7][8], a cluster decomposition error reduction (CDER) method was introduced to suppress the statistics requirement on lattices with large spatial volumes. In this work, we use the CDER method to trade the statistical uncertainty for negligible systematic one, and obtain clear mass spectrum and Bethe-Salpeter wave function with the pure glueball operators on only ∼ 300 configurations at physical pion mass.…”

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confidence: 99%

Glueballs at Physical Pion Mass

Chen¹,

Jiang²,

Chen³

et al. 2021

Preprint

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We study glueballs on two N f = 2 + 1 RBC/UKQCD gauge ensembles with physical quark masses at two lattice spacings. The statistical uncertainties of the glueball correlation functions are considerably reduced through the cluster decomposition error reduction (CDER) method. The Bethe-Salpeter wave functions are obtained for the scalar, tensor and pseudoscalar glueballs by using spatially extended glueball operators defined through the gauge potential Aµ(x) in the Coulomb gauge. These wave functions show similar features of non-relativistic two-gluon systems, and they are used to optimize the signals of the related correlation functions at the early time regions. Consequently, the ground state masses can be extracted precisely. To the extent that the excited state contamination is not important, our calculation gives glueball masses at the physical pion mass for the first time.

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confidence: 99%

Glueballs at Physical Pion Mass

Chen¹,

Jiang²,

Chen³

et al. 2021

Preprint

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“…where ψ f = u, d, s, ... and Γ = γ 5 for pseudoscalar mesons and Γ = γ i (i = 1, 2, 3) for vector mesons. From our experience [12] besides the suppression of excited states, the choice of wall source can also suppress the P -wave scattering states in the vector channels.…”

Section: Two-point Correlatorsmentioning

confidence: 95%

“…(q = l, s, c) are the valence quark mass parameters in lattice units and the corresponding pion masses (in MeV) are from Ref. [12]. The physical charm quark mass am phy c is estimated to be around 0.73 (see below).…”

Section: Lattice Setupmentioning

confidence: 99%

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Charmed and $ϕ$ meson decay constants from 2+1-flavor lattice QCD

Chen,

Chiu,

Gong

et al. 2020

Preprint

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On a lattice with 2+1-flavor dynamical domain-wall fermions at the physical pion mass, we calculate the decay constants of D ( * ) s , D ( * ) and φ. The lattice size is 48 3 × 96, which corresponds to a spatial extension of ∼ 5.5 fm with the lattice spacing a ≈ 0.114 fm. For the valence light, strange and charm quarks, we use overlap fermions at several mass points close to their physical values. Our results at the physical point are f D = 213(5) MeV, f Ds = 249(7) MeV, f D * = 234(6) MeV, f D * s = 274(7) MeV, and f φ = 241(9) MeV. The couplings of D * and D * s to the tensor current (f T V ) can be derived, respectively, from the ratios f T D * /f D * = 0.91(4) and f T D * s /f D * s = 0.92(4), which are the first lattice QCD results. We also obtain the ratios f D * /f D = 1.10(3) and f D * s /f Ds = 1.10(4), which reflect the size of heavy quark symmetry breaking in charmed mesons. The ratios f Ds /f D = 1.16(3) and f D * s /f D * = 1.17(3) can be taken as a measure of SU(3) flavor symmetry breaking.

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“…Naturally we are far from the first people to confront this particular problem. The issue of rapid falloff in the signal but not the noise has been known for a long time [18], and has been discussed and confronted frequently in the recent literature [19][20][21][22][23]. In particular, Ref.…”

Section: Origin Of the Problemmentioning

confidence: 99%

Lattice QCD noise reduction for bosonic correlators through blocking

Altenkort,

Eller,

Kaczmarek

et al. 2021

Preprint

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We propose a method to substantially improve the signal-to-noise ratio of lattice correlation functions for bosonic operators or other operator combinations with disconnected contributions. The technique is applicable for correlations between operators on two planes (zero momentum correlators) when the dimension of the plane is larger than the separation between the two planes which are correlated. In this case, the correlation arises primarily from points whose in-plane coordinates are close; but noise arises from all pairs of points. By breaking each plane into bins and computing bin-bin correlations, it is possible to capture these short-distance correlators exactly while replacing (small) correlators at large space extent with a fit, with smaller uncertainty than the data. The cost is only marginally larger than averaging each plane before correlating, but the improvement in signal-to-noise can be substantial. We test the method on correlators of the gradient-flowed topological density and squared field strength, finding noise reductions by ∼ 3 − 7 compared to the conventional approach on the same ensemble of configurations.

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Anatomy of the ρ resonance from lattice QCD at the physical point

Cited by 13 publications

References 52 publications

Glueballs at Physical Pion Mass

Glueballs at Physical Pion Mass

Charmed and $ϕ$ meson decay constants from 2+1-flavor lattice QCD

Lattice QCD noise reduction for bosonic correlators through blocking

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