Aspects of heavy quark theory

Mar, 1997
67 pages
Published in:
  • Ann.Rev.Nucl.Part.Sci. 47 (1997) 591-661
e-Print:
Report number:
  • TPI-MINN-97-02-T,
  • UMN-TH-1528-97,
  • UND-HEP-97-BIG01

Citations per year

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Abstract:
Recent achievements in the heavy quark theory are critically reviewed. The emphasis is put on those aspects which either did not attract enough attention or cause heated debates in the current literature. Among other topics we discuss (i) basic parameters of the heavy quark theory; (ii) a class of exact QCD inequalities; (iii) new heavy quark sum rules; (iv) virial theorem; (v) applications (|V_cb| from the total semileptonic width and from the B->D* transition at zero recoil). In some instances new derivations of the previously known results are given, or new aspects addressed. In particular, we dwell on the exact QCD inequalities. Furthermore, a toy model is considered that may shed light on the controversy regarding the value of the kinetic energy of heavy quarks obtained by different methods.
Note:
  • 67 pages, 6 Figures; plain LaTeX. Changes: Some equations in Sect.4 related to spin-nonsinglet sum rules are corrected. The references are updated. Report-no: TPI-MINN-97/02-T, UMN-TH-1528-97, UND-HEP-97-BIG01
  • inspirereview:II-d-12
  • HQET model
  • operator product expansion
  • effective Hamiltonian
  • quark: mass
  • heavy quark
  • renormalization
  • quantum chromodynamics: magnetic field
  • expansion: mass
  • quark: momentum