Nonspectator Effects and B Meson Lifetimes from a Field-theoretic Calculation

The B meson lifetime ratios are calculated to the order of 1/mb in the heavy quark expansion. The predictions of those ratios are dependent on four unknown hadronic parameters B1, B2, ε1 and ε2, where B1 and B2 parametrize the matrix elements of color singlet-singlet four-quark operators and ε1 and ε2 the matrix elements of color octet-octet operators. We derive the renormalization-group improved QCD sum rules for these parameters within the framework of heavy quark effective theory. The results are B1(mb) = 0.94 ± 0.02, B2(mb) = 0.94 ± 0.02, ε1(mb) = −0.098 ± 0.008, and ε2(mb) = −0.089±0.007 to zeroth order in 1/mb. The resultant B meson lifetime ratios are τ(B)/τ(Bd) = 1.09±0.03 and τ(Bs)/τ(Bd)−1 = −1×10−5. PACS numbers: 13.25.Hw, 12.38.Lg, 11.55.Hx, 12.39.Hg Typeset using REVTEX Email address: [email protected] Email address: [email protected]