Inclusive Decays of Bottom Hadrons in New Formulation of Heavy Quark Effective Field Theory · arXivDesk
hep-ph/9907202Jul 1, 199920 pages, RevTex, 8 figures, 3 tables, revised version with `dressed heavy quark' being addressed, to be published in Int. J. Mod. Phys. A
Inclusive Decays of Bottom Hadrons in New Formulation of Heavy Quark Effective Field Theory
We apply the new formulation of heavy quark effective field theory (HQEFT) to the inclusive decays of bottom hadrons. The long-term ambiguity of using heavy quark mass or heavy hadron mass for inclusive decays is clarified within the framework of the new formulation of HQEFT. The 1/mb order corrections are absent and contributions from 1/mb2 terms are calculated in detail. This enables us to reliably extract the important CKM matrix element ∣Vcb∣
Nearby in the stack
from the inclusive semileptonic decay rates. The resulting lifetime ratios
τ(Bs0)/τ(B0)
and
τ(Λb)/τ(B0)
are found to well agree with the experimental data. We also calculate in detail the inclusive semileptonic branching ratios and the ratios of the
τ
and
β
decay rates as well as the charm countings in the
B0
,
Bs0
and
Λb
systems. For
B0
decays, all the observables are found to be consistent with the experimental data. More precise data for the
B0
decays and further experimental measurements for the
Bs0
and
Λb
systems will be very useful for testing the framework of new formulation of HQEFT at the level of higher order corrections.