Charm quark system in 2+1 flavor lattice QCD using the PACS-CS configurations

In this study, the bound state energy of a four-quark system was analytically calculated as a two heavy–heavy anti-quarks [Formula: see text] and two light–light quarks [Formula: see text]. Tetraquark was assumed to be a bound state of two-body system consisting of two mesons, each containing a light quark and a heavy antiquark. Due to the presence of heavy mesons in the tetraquark, Born–Oppenheimer approximation was used to study its bound states. To assess the bounding energy, Schrödinger equation was solved using lattice QCD [Formula: see text] potential, having expanded the tetraquark potential [Formula: see text] up to 11th term. Binding energy state and wave function, however, were obtained in the scalar [Formula: see text] channel. Graphical results for wave functions obtained versus antiquark–antiquark distance [Formula: see text] confirmed the existence of the tetraquark [Formula: see text]. Analytical bound state energy obtained here was in good agreement with several numerical ones published in the literature, confirming the accuracy of the approach taken here.

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The strange and charm quark contributions to the anomalous magnetic moment of the muon from lattice QCD

Nuclear and Particle Physics Proceedings ◽

10.1016/j.nuclphysbps.2015.09.266 ◽

2016 ◽

Vol 273-275 ◽

pp. 1645-1649

Author(s):

Jonna Koponen ◽

Bipasha Chakraborty ◽

Christine T.H. Davies ◽

Gordon Donald ◽

Rachel Dowdall ◽

...

Keyword(s):

Lattice Qcd ◽

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Charm Quark

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Charm sea effects on charmonium decay constants and heavy meson masses

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09520-y ◽

2021 ◽

Vol 81 (8) ◽

Author(s):

Salvatore Calì ◽

Kevin Eckert ◽

Jochen Heitger ◽

Francesco Knechtli ◽

Tomasz Korzec

Keyword(s):

Lattice Qcd ◽

Continuum Limit ◽

Charm Quark ◽

Heavy Meson ◽

Charm Quarks ◽

Decay Constants ◽

Derivatives Of ◽

Charm Mass ◽

The Continuum

AbstractWe estimate the effects on the decay constants of charmonium and on heavy meson masses due to the charm quark in the sea. Our goal is to understand whether for these quantities $${N_\mathrm{f}}=2+1$$ N f = 2 + 1 lattice QCD simulations provide results that can be compared with experiments or whether $${N_\mathrm{f}}=2+1+1$$ N f = 2 + 1 + 1 QCD including the charm quark in the sea needs to be simulated. We consider two theories, $${N_\mathrm{f}}=0$$ N f = 0 QCD and QCD with $${N_\mathrm{f}}=2$$ N f = 2 charm quarks in the sea. The charm sea effects (due to two charm quarks) are estimated comparing the results obtained in these two theories, after matching them and taking the continuum limit. The absence of light quarks allows us to simulate the $${N_\mathrm{f}}=2$$ N f = 2 theory at lattice spacings down to 0.023 fm that are crucial for reliable continuum extrapolations. We find that sea charm quark effects are below 1% for the decay constants of charmonium. Our results show that decoupling of charm works well up to energies of about 500 MeV. We also compute the derivatives of the decay constants and meson masses with respect to the charm mass. For these quantities we again do not see a significant dynamical charm quark effect, albeit with a lower precision. For mesons made of a charm quark and a heavy antiquark, whose mass is twice that of the charm quark, sea effects are only about 1‰ in the ratio of vector to pseudoscalar masses.

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Lattice QCD thermodynamics in the presence of the charm quark

Nuclear Physics A ◽

10.1016/j.nuclphysa.2013.02.153 ◽

2013 ◽

Vol 904-905 ◽

pp. 869c-872c ◽

Cited By ~ 8

Author(s):

Claudia Ratti ◽

Szabolcs Borsanyi ◽

Gergely Endrodi ◽

Zoltan Fodor ◽

Sandor D. Katz ◽

...

Keyword(s):

Lattice Qcd ◽

Charm Quark

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Gluonic Excitation of the Three-Quark System in SU(3) Lattice QCD

Physical Review Letters ◽

10.1103/physrevlett.90.182001 ◽

2003 ◽

Vol 90 (18) ◽

Cited By ~ 25

Author(s):

Toru T. Takahashi ◽

Hideo Suganuma

Keyword(s):

Lattice Qcd ◽

Quark System

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The effect of sea quarks on the mass of the charm quark from lattice QCD

Journal of High Energy Physics ◽

10.1088/1126-6708/2006/01/171 ◽

2006 ◽

Vol 2006 (01) ◽

pp. 171-171

Author(s):

UKQCD collaboration ◽

Alex Dougall ◽

Chris M Maynard ◽

Craig McNeile

Keyword(s):

Lattice Qcd ◽

Charm Quark

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Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices

Journal of High Energy Physics ◽

10.1007/jhep05(2021)288 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Jochen Heitger ◽

Fabian Joswig ◽

Simon Kuberski

Keyword(s):

Lattice Qcd ◽

Quark Mass ◽

Charm Quark ◽

Renormalisation Group ◽

Tree Level ◽

Lattice Action ◽

Group Invariant ◽

Quark Masses ◽

Charm Quark Mass

Abstract We present a determination of the charm quark mass in lattice QCD with three active quark flavours. The calculation is based on PCAC masses extracted from Nf = 2 + 1 flavour gauge field ensembles at five different lattice spacings in a range from 0.087 fm down to 0.039 fm. The lattice action consists of the O(a) improved Wilson-clover action and a tree-level improved Symanzik gauge action. Quark masses are non-perturbatively O(a) improved employing the Symanzik-counterterms available for this discretisation of QCD. To relate the bare mass at a specified low-energy scale with the renormalisation group invariant mass in the continuum limit, we use the non-pertubatively known factors that account for the running of the quark masses as well as for their renormalisation at hadronic scales. We obtain the renormalisation group invariant charm quark mass at the physical point of the three-flavour theory to be Mc = 1486(21) MeV. Combining this result with five-loop perturbation theory and the corresponding decoupling relations in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme, one arrives at a result for the renormalisation group invariant charm quark mass in the four-flavour theory of Mc(Nf = 4) = 1548(23) MeV, where effects associated with the absence of a charmed, sea quark in the non-perturbative evaluation of the QCD path integral are not accounted for. In the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme, and at finite energy scales conventional in phenomenology, we quote $$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ ($$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ ; Nf = 4) = 1296(19) MeV and $$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ (3 GeV; Nf = 4) = 1007(16) MeV for the renormalised charm quark mass.

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Charmonium and exotics from lattice QCD

EPJ Web of Conferences ◽

10.1051/epjconf/201920201006 ◽

2019 ◽

Vol 202 ◽

pp. 01006 ◽

Cited By ~ 1

Author(s):

Francesco Knechtli

Keyword(s):

Lattice Qcd ◽

Model Calculation ◽

Charm Quark ◽

Binding Energies ◽

Low Energy ◽

Exotic States ◽

The Continuum

We review selected lattice results on the charmonium spectrum and first attempts to search for the existence of exotic states. The hadro-quarkonium model was proposed to interpret some of the exotic states as a quarkonium core inside a hadron. We present a lattice study of the hadro-quarkonium model in the limit of static quarks. The charm quark decouples in low energy observables and binding energies of charmonium. In a model calculation we are able to evaluate the corrections to decoupling of the charm quark in the continuum.

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