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Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections

R. J. Dowdall1,*, C. T. H. Davies2, T. Hammant1, and R. R. Horgan1 (HPQCD Collaboration)

  • 1DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

  • *R.J.Dowdall@Damtp.cam.ac.uk
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Phys. Rev. D 89, 031502(R) – Published 28 February, 2014Erratum Phys. Rev. D 92, 039904 (2015)

DOI: https://doi.org/10.1103/PhysRevD.89.031502

Abstract

We present a calculation of the hyperfine splittings in bottomonium using lattice nonrelativistic QCD. The calculation includes spin-dependent relativistic corrections through O(v6), radiative corrections to the leading spin-magnetic coupling and, for the first time, nonperturbative effects of four-quark operators which enter at αs2v3. We also include the effect of u, d, s and c quark vacuum polarization. Our result for the 1S hyperfine splitting is Mϒ(1S)−Mηb(1S)=62.8(6.7)  MeV. We find the ratio of 2S to 1S hyperfine splittings (Mϒ(2S)−Mηb(2S))/(Mϒ(1S)−Mηb(1S))=0.425(25).

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Erratum

Erratum: Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections [Phys. Rev. D 89, 031502(R) (2014)]

R. J. Dowdall, C. T. H. Davies, T. Hammant, R. R. Horgan, and C. Hughes
Phys. Rev. D 92, 039904 (2015)

Article Text

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Phys. Rev. D 89, 031502(R)– Published 28 February, 2014
  • Received 23 September 2013

© 2014 American Physical Society

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