出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We consider HQET including the first order correction in 1/m. A strategy for the computation of
the b-quark mass following the scheme
experiment Lattice with amq ¿1
mB = 5.4GeV F1(L1,M),F2(L1,M)
? ?
FHQET
1 (L2),FHQET
2 (L2) FHQET
1 (L1),FHQET
¾ 2 (L1)
sm(u1)
s kin
1 (u1),s kin
2 (u1)
L2 = 2L1
is discussed. Only two quantities F1/2 have to be considered in order to match QCD and HQET,
since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static
theory. Quite simple formulae relate the renormalization group invariant b-quark mass (Mb) to the
B-meson mass. All entries in these formulae are non-perturbatively defined and can be computed
in the continuum limit of the lattice regularized theory. For the numerically most critical part, we
illustrate the cancellation of power divergences by a numerical example.
Numerical results for the 1/m correction to Mb, are presented in a companion talk.
