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

Chen, Ying; Chiu, Wei-Feng; Gong, Ming; Liu, Zhaofeng; Ma, Yunheng

doi:10.48550/arxiv.2008.05208

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…from lattice QCD calculations. The decay constant of the D * s meson is found to be several percent larger than that of the D s [41][42][43] whereas that of the B * s is a few percent below that of the B s [44] [42]. This behaviour can be understood on the same basis as the arguments for heavyonium above.…”

Section: υ and η B Decay Constantsmentioning

confidence: 83%

Bottomonium precision tests from full lattice QCD: hyperfine splitting, $Υ$ leptonic width and $b$ quark contribution to $e^+e^- \rightarrow$ hadrons

Hatton,

Davies,

Koponen

et al. 2021

Preprint

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We calculate the mass difference between the Υ and η b and the Υ leptonic width from lattice QCD using the Highly Improved Staggered Quark formalism for the b quark and including u, d, s and c quarks in the sea. We have results for lattices with lattice spacing as low as 0.03 fm and multiple heavy quark masses, enabling us to map out the heavy quark mass dependence and determine values at the b quark mass. Our results are: MΥ − Mη b = 57.5(2.3)(1.0) MeV (where the second uncertainty comes from neglect of quark-line disconnected correlation functions) and decay constants, fη b = 724(12) MeV and fΥ = 677.2(9.7) MeV, giving Γ(Υ → e + e − ) = 1.292(37)(3) keV. The hyperfine splitting and leptonic width are both in good agreement with experiment, and provide the most accurate lattice QCD results to date for these quantities by some margin. At the same time results for the time moments of the vector-vector correlation function can be compared to values for the b quark contribution to σ(e + e − → hadrons) determined from experiment. Moments 4-10 provide a 2% test of QCD and yield a b quark contribution to the anomalous magnetic moment of the muon of 0.300(15)×10 −10 . Our results, covering a range of heavy quark masses, may also be useful to constrain QCD-like composite theories for beyond the Standard Model physics.

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Section: υ and η B Decay Constantsmentioning

confidence: 83%

Bottomonium precision tests from full lattice QCD: hyperfine splitting, $Υ$ leptonic width and $b$ quark contribution to $e^+e^- \rightarrow$ hadrons

Hatton,

Davies,

Koponen

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…s are transferred to the uncertainties of the product of effective Wilson coefficients and decay constants. Since the uncertainties of decay constants f Ds and f D * s are small according to lattice QCD [60], the experimental uncertainties are only embodied into the effective Wilson coefficients. 3 The SU(3)-flavor symmetry breaking can be characterized by the difference between the decay constants f K and f π , which is about 19% [61][62][63].…”

Section: Resultsmentioning

confidence: 99%

Productions of X(3872), $$Z_c(3900)$$, $$X_2(4013)$$, and $$Z_c(4020)$$ in $$B_{(s)}$$ decays offer strong clues on their molecular nature

Wu,

Liu,

Geng

2024

Eur. Phys. J. C

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The exotic states X(3872) and $$Z_c(3900)$$ Z c ( 3900 ) have long been conjectured as isoscalar and isovector $${\bar{D}}^*D$$ D ¯ ∗ D molecules. In this work, we first propose the triangle diagram mechanism to investigate their productions in B decays as well as their heavy quark spin symmetry partners, $$X_2(4013)$$ X 2 ( 4013 ) and $$Z_c(4020)$$ Z c ( 4020 ) . We show that the large isospin breaking of the ratio $${\mathcal {B}}[B^+ \rightarrow X(3872) K^+]/{\mathcal {B}}[B^0 \rightarrow X(3872) K^0] $$ B [ B + → X ( 3872 ) K + ] / B [ B 0 → X ( 3872 ) K 0 ] can be attributed to the isospin breaking of the neutral and charged $${\bar{D}}^*D$$ D ¯ ∗ D components in their wave functions. For the same reason, the branching fractions of $$Z_c(3900)$$ Z c ( 3900 ) in B decays are smaller than the corresponding ones of X(3872) by at least one order of magnitude, which naturally explains its non-observation. A hierarchy for the production fractions of X(3872), $$Z_c(3900)$$ Z c ( 3900 ) , $$X_2(4013)$$ X 2 ( 4013 ) , and $$Z_c(4020)$$ Z c ( 4020 ) in B decays, consistent with all existing data, is predicted. Furthermore, with the factorization ansatz we extract the decay constants of X(3872), $$Z_c(3900)$$ Z c ( 3900 ) , and $$Z_c(4020)$$ Z c ( 4020 ) as $${\bar{D}}^*D^{(*)}$$ D ¯ ∗ D ( ∗ ) molecules via the B decays, and then calculate their branching fractions in the relevant $$B_{(s)}$$ B ( s ) decays, which turn out to agree with all existing experimental data. The mechanism we proposed is useful to elucidate the internal structure of the many exotic hadrons discovered so far and to extract the decay constants of hadronic molecules, which can be used to predict their production in related processes.

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

Cited by 2 publications

References 26 publications

Bottomonium precision tests from full lattice QCD: hyperfine splitting, $Υ$ leptonic width and $b$ quark contribution to $e^+e^- \rightarrow$ hadrons

Bottomonium precision tests from full lattice QCD: hyperfine splitting, $Υ$ leptonic width and $b$ quark contribution to $e^+e^- \rightarrow$ hadrons

Productions of X(3872), $$Z_c(3900)$$, $$X_2(4013)$$, and $$Z_c(4020)$$ in $$B_{(s)}$$ decays offer strong clues on their molecular nature

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