$D_s$ Lifetime, $m_b$, $m_c$ and $|V_{cb}|$ in the Heavy Quark Expansion

Details $D_s$ Lifetime, $m_b$, $m_c$ and $|V_{cb}|$ in the Heavy Quark Expansion $D_s$ Lifetime, $m_b$, $m_c$ and $|V_{cb}|$ in the Heavy Quark Expansion

1993-11-09

arxiv.org/abs/hep-ph/9311243v3

Z.Phys.C62:623-632,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages Preprint UND-HEP-93-BIG05, CERN-TH.7063/93; this is the revised version. Summary of changes: The discussion of uncert

Scientific paper

10.1007/BF01574165

We present some straightforward applications of the QCD heavy quark expansion, stated in previous papers [1-3], to the inclusive widths of heavy flavour hadrons. We address the question of the $D_s$ lifetime and argue that -- barring Weak Annihilation (WA) -- $\tau (D_s)$ is expected to exceed $\tau (D^0)$ by several percent; on the other hand WA could provide a difference of up to $10\div20\%$ of {\it any} sign. We extract $m_c$, $m_b$ and $|V_{cb}|$ from $\Gamma\ind{SL}(D^+)$ and $\Gamma\ind{SL}(B)$. The values of the quark masses are somewhat higher, but compatible with estimates from QCD sum rules; we obtain $|V_{cb}|\simeq 0.043$ for $\tau (B)=1.4$ psec and $BR_{SL}(B)=10.5$\% . We discuss the associated uncertainties in the $1/m_Q$ expansion as well as some consequences for other electroweak decays.

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