Properties of low-lying charmonia and bottomonia from lattice QCD + QED

Authors

  • Jonna Koponen Johannes Gutenberg University of Mainz
  • Ben Galloway SUPA, School of Physics and Astronomy, University of Glasgow
  • Daniel Hatton SUPA, School of Physics and Astronomy, University of Glasgow
  • Christine T. H. Davies SUPA, School of Physics and Astronomy, University of Glasgow
  • G. Peter Lepage Laboratory for Elementary-Particle Physics, Cornell University
  • Andrew Lytle Department of Physics. University of Illinois

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308018

Keywords:

charmonium, bottomonium, lattice QCD, lattice QCD QED

Abstract

The precision of lattice QCD calculations has been steadily improving for some time and is now approaching, or has surpassed, the 1% level for multiple quantities. At this level QED effects, i.e. the fact that quarks carry electric as well as color charge, come into play. In this report we will summarise results from the first lattice QCD+QED computations of the properties of ground-state charmonium and bottomonium mesons by the HPQCD Collaboration.

References

C. T. H. Davies et al. (HPQCD, UKQCD, MILC and Fermilab Lattice collaborations), High precision lattice QCD confronts experiment, Phys. Rev. Lett. 92 (2004) 022001, doi:10.1103/PhysRevLett.92.022001, [arXiv:hep-lat/0304004 [hep-lat]].

D. Hatton, C. T. H. Davies, B. Galloway, J. Koponen, G. P. Lepage and A. T. Lytle (HPQCD Collaboration), Charmonium properties from lattice QCD+QED: Hyperfine splitting, J/psi leptonic width, charm quark mass, and a_mu^c, Phys. Rev. D 102 (2020) 054511, doi:10.1103/PhysRevD.102.054511, [arXiv:2005.01845 [hep-lat]].

D. Hatton, C. T. H. Davies, G. P. Lepage and A. T. Lytle (HPQCD Collaboration), Renormalization of the tensor current in lattice QCD and the J/psi tensor decay constant, Phys. Rev. D 102 (2020) 094509, doi:10.1103/PhysRevD.102.094509, [arXiv:2008.02024 [hep-lat]].

D. Hatton, C. T. H. Davies, J. Koponen, G. P. Lepage and A. T. Lytle (HPQCD Collaboration), Bottomonium precision tests from full lattice QCD: Hyperfine splitting, Upsilon leptonic width, and b quark contribution to e^+e^− to hadrons, Phys. Rev. D 103 (2021) 054512, doi:10.1103/PhysRevD.103.054512, [arXiv:2101.08103 [heplat]].

A. Bazavov et al. (MILC Collaboration), Lattice QCD Ensembles with Four Flavors of Highly Improved Staggered Quarks, Phys. Rev. D 87 (2013) 054505, doi:10.1103/PhysRevD.87.054505, [arXiv:1212.4768 [heplat]].

A. Bazavov et al. (Fermilab and MILC collaborations), B- and D-meson leptonic decay constants from four-flavor lattice QCD, Phys. Rev. D 98 (2018) 074512, doi:10.1103/PhysRevD.98.074512, [arXiv:1712.09262 [heplat]].

E. Follana et al. (HPQCD and UKQCD collaorations), Highly improved staggered quarks on the lattice, with applications to charm physics, Phys. Rev. D 75 (2007) 054502, doi:10.1103/PhysRevD.75.054502, [arXiv:hep-lat/0610092 [hep-lat]].

C. McNeile, C. T. H. Davies, E. Follana, K. Hornbostel and G. P. Lepage, High-Precision f_Bs and HQET from Relativistic Lattice QCD, Phys. Rev. D 85 (2012) 031503, doi:10.1103/PhysRevD.85.031503, [arXiv:1110.4510 [hep-lat]].

D. Hatton et al. (HPQCD Collaboration), Renormalizing vector currents in lattice QCD using momentum-subtraction schemes, Phys. Rev. D 100 (2019) 114513, doi:10.1103/PhysRevD.100.114513, [arXiv:1909.00756 [heplat]].

M. Tanabashi et al. (Particle Data Group), Review of Particle Physics, doi.org/10.1103/PhysRevD.98.030001, Phys. Rev. D

(2018) 030001.

C. DeTar et al. (Fermilab Lattice and MILC collaborations), Splittings of low-lying charmonium masses at the physical point, Phys. Rev. D 99 (2019) 034509, doi:10.1103/PhysRevD.99.034509, [arXiv:1810.09983 [heplat]].

Y. B. Yang et al., Charm and strange quark masses and f_Ds from overlap fermions, Phys. Rev. D 92 (2015) 034517, doi:10.1103/PhysRevD.92.034517, [arXiv:1410.3343 [hep-lat]].

R. A. Briceno, H. W. Lin and D. R. Bolton, CharmedBaryon Spectroscopy from Lattice QCD with Nf = 2+1+1 Flavors, Phys. Rev. D 86 (2012) 094504, doi:10.1103/PhysRevD.86.094504, [arXiv:1207.3536 [heplat]].

G. C. Donald, C. T. H. Davies, R. J. Dowdall, E. Follana, K. Hornbostel, J. Koponen, G. P. Lepage and C. McNeile (HPQCD Collaboration), Precision tests of the J/psi from full lattice QCD: mass, leptonic width and radiative decay rate to eta_c, Phys. Rev. D 86 (2012) 094501, doi:10.1103/PhysRevD.86.094501, [arXiv:1208.2855 [heplat]].

R. Aaij et al. (LHCb), Measurement of the ηc(1S) production cross-section in proton-proton collisions via the decay eta_c(1S) to pbar{p}, Eur. Phys. J. C 75 (2015) 311, doi:10.1140/epjc/s10052-015-3502-x, [arXiv:1409.3612 [hepex]].

R. Aaij et al. [LHCb], Observation of eta_c(2S) to pbar{p} and search for X(3872) to pbar{p} decays, Phys. Lett. B 769 (2017) 305, doi:10.1016/j.physletb.2017.03.046 [arXiv:1607.06446 [hepex]].

V. V. Anashin et al. (KEDR), Measurement of J/psi to gamma eta_c decay rate and eta_c parameters at KEDR, Phys. Lett. B 738 (2014)

, doi:10.1016/j.physletb.2014.09.064, [arXiv:1406.7644c[hep-ex]].

P. Zyla et al. (Particle Data Group), Review of Particle Physics, PTEP 2020 (2020) 083C01, doi.org/10.1093/ptep/ptaa104.

A. Gray, I. Allison, C. T. H. Davies, E. Dalgic, G. P. Lepage, J. Shigemitsu and M. Wingate (HPQCD and UKQCD collaborations), The Upsilon spectrum and m_b from full lattice QCD, Phys. Rev. D 72 (2005) 094507, doi:10.1103/PhysRevD.72.094507, [arXiv:hep-lat/0507013 [hep-lat]].

T. Burch, C. DeTar, M. Di Pierro, A. X. El-Khadra, E. D. Freeland, S. Gottlieb, A. S. Kronfeld, L. Levkova, P. B. Mackenzie and J. N. Simone (Fermilab Lattice and MILC collaborations), Quarkonium mass splittings in three-flavor lattice QCD, Phys. Rev. D 81 (2010) 034508, doi:10.1103/PhysRevD.81.034508, [arXiv:0912.2701 [hep-lat]].

S. Meinel, Bottomonium spectrum at order v^6 from domain-wall lattice QCD: Precise results for hyperfine splittings, Phys. Rev. D 82 (2010) 114502, doi:10.1103/PhysRevD.82.114502, [arXiv:1007.3966 [hep-lat]].

Y. Aoki et al. (RBC and UKQCD collaborations), Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy, Phys. Rev. D 86 (2012) 116003, doi:10.1103/PhysRevD.86.116003, [arXiv:1206.2554 [hep-lat]].

R. J. Dowdall et al. (HPQCD collaboration), Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections, Phys. Rev. D 89 (2014) 031502, [erratum: Phys. Rev. D 92 (2015) 039904], doi:10.1103/PhysRevD.89.031502, [arXiv:1309.5797 [heplat]].

R. Mizuk et al. (Belle), Evidence for the eta_b(2S) and observation of h_b(1P ) to eta_b(1S) gamma and h_b(2P ) to eta_b(1S) gamma, Phys. Rev. Lett. 109 (2012) 232002, doi:10.1103/PhysRevLett.109.232002, [arXiv:1205.6351 [hep-ex]].

G. Bonvicini et al. (CLEO), Measurement of the eta(b)(1S) mass and the branching fraction for Upsilon(3S) to gamma eta(b)(1S), Phys. Rev. D 81 (2010) 031104, doi:10.1103/PhysRevD.81.031104, [arXiv:0909.5474 [hepex]].

B. Aubert et al. (BaBar), Evidence for the eta(b)(1S) Meson in Radiative Upsilon(2S) Decay, Phys. Rev. Lett. 103 (2009) 161801, doi:10.1103/PhysRevLett.103.161801, [arXiv:0903.1124 [hep-ex]].

B. Aubert et al. (BaBar), Observation of the bottomonium ground state in the decay Upsilon(3S) to gamma eta_b, Phys. Rev. Lett. 101

(2008) 071801, [erratum: Phys. Rev. Lett. 102 (2009) 029901]. doi:10.1103/PhysRevLett.101.071801, [arXiv:0807.1086 [hepex]].

C. T. H. Davies, C. McNeile, E. Follana, G. P. Lepage, H. Na and J. Shigemitsu (HPQCD collaboration), Update: Precision Ds decay constant from full lattice QCD using very fine lattices, Phys. Rev. D 82 (2010) 114504, doi:10.1103/PhysRevD.82.114504, [arXiv:1008.4018 [hep-lat]].

D. Becirevic, G. Duplancic, B. Klajn, B. Melic and F. Sanfilippo, Lattice QCD and QCD sum rule determination of the decay constants of eta_c, J/psi and h_c states, Nucl. Phys. B 883 (2014) 306, doi:10.1016/j.nuclphysb.2014.03.024, [arXiv:1312.2858 [hep-ph]].

V. V. Braguta, The study of leading twist light cone wave functions of J/psi meson, Phys. Rev. D 75 (2007) 094016, doi:10.1103/PhysRevD.75.094016, [arXiv:hep-ph/0701234 [hep-ph]].

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Published

2022-07-08

How to Cite

1.
Koponen J, Galloway B, Hatton D, Davies CTH, Lepage GP, Lytle A. Properties of low-lying charmonia and bottomonia from lattice QCD + QED. Supl. Rev. Mex. Fis. [Internet]. 2022 Jul. 8 [cited 2022 Dec. 9];3(3):0308018 1-7. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6225