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  • 标题:Radiative improvement of the lattice NRQCD action using the background field method and application to the hyperfine splitting of quarkonium states
  • 本地全文:下载
  • 作者:T. Hammant ; A. Hart ; G. von Hippel
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2011
  • 卷号:2011
  • 期号:Lattice2011
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We describe how the background field method can be applied to Non-Relativistic QCD (NRQCD) on the lattice in order to determine the one-loop radiative corrections to the coefficients of the NRQCD action in a manifestly gauge-covariant manner. As a first application, we compute the shift of the hyperfine splitting of bottomonium stemming from the one-loop corrections to the coefficient of the s ·B term in the NRQCD action and the spin-dependent four-fermion couplings arising at the one-loop level. This is found to bring the lattice predictions in line with experiment as well as greatly reducing O(a2) dependences. We report a preliminary estimate for the hyperfine splitting, calculated on a fine lattice, of 70(6)MeV.
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