English

Sea quark effects in B Spectroscopy and Decay Constants

High Energy Physics - Lattice 2010-01-18 v2

Abstract

We present comprehensive results for the spectrum and decay constants of hadrons containing a single b quark. The heavy quark is simulated using an O(1/M)O(1/M) NRQCD action and the light quark using the O(a)O(a) tadpole-improved clover action on gauge configurations containing two degenerate flavours of sea quarks at βnf=2=5.6\beta^{n_f=2}=5.6 provided by the HEMCGC collaboration. We present detailed results for the lower lying SS and PP wave BB meson states and the Λb\Lambda_b baryon. We find broad agreement with experiment. In addition, we present results for the pseudoscalar and, for the first time, the vector decay constants fully consistent to O(α/M):fB=186(5)(stat)(19)(pert)(9)(disc)(13)(NRQCD)(+50)(a1)MeV,fB=181(6)(stat)(18)(pert)(9)(disc)(13)(NRQCD)(+55)(a1)MeVO(\alpha/M): f_B = 186(5)(stat)(19)(pert)(9)(disc)(13)(NRQCD)(+50)(a^{-1})MeV, f_B^* = 181(6) (stat)(18)(pert)(9)(disc)(13)(NRQCD)(+55)(a^{-1})MeV and fBs/fB=1.14(2)(stat)(2)(κs)f_{B_s}/f_B = 1.14(2)(stat)(-2)(\kappa_s). We present an investigation of sea quark effects in the BB spectrum and decay constants. We compare our results with those from similar quenched simulations at βnf=0=6.0\beta^{n_f=0}=6.0. For the spectrum, the quenched results reproduce the experimental spectrum well and there is no significant difference between the quenched and nf=2n_f=2 results. For the decay constants, our results suggest that sea quark effects may be large. We find that fBf_B increases by approximately 25% between nf=0n_f=0 and nf=2n_f=2.

Keywords

Cite

@article{arxiv.hep-lat/9901001,
  title  = {Sea quark effects in B Spectroscopy and Decay Constants},
  author = {S. Collins and C. T. H. Davies and U. M. Heller and A. Ali Khan and J. Shigemitsu and J. Sloan and C. Morningstar},
  journal= {arXiv preprint arXiv:hep-lat/9901001},
  year   = {2010}
}

Comments

49 pages, 16 figures, revtex, the discussion of systematic errors and the comparison of the pseudoscalar decay constant at nf=0 and nf=2 has been expanded