Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-01-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 5 figures. Manuscript has considerable overlap with hep-ph/0007054. Invited talk presented by Michael Luke at the 5th
Scientific paper
The invariant mass spectrum of the lepton pair in inclusive semileptonic $\bar B\to X_u \ell\bar\nu$ decay yields a model independent determination of $|V_{ub}|$. Unlike the lepton energy and hadronic invariant mass spectra, nonperturbative effects are only important in the resonance region, and play a parametrically suppressed role when $d\Gamma / dq^2$ is integrated over $q^2 > (m_B-m_D)^2$, which is required to eliminate the $\bar B\to X_c \ell\bar\nu$ background. We discuss these backgrounds for $q^2$ slightly below $(m_B-m_D)^2$, and point out that instead of $q^2 > (m_B-m_D)^2 = 11.6 GeV^2$, the cut can be lowered to $q^2 \gtrsim 10.5 GeV^2$. This is important experimentally, particularly when effects of a finite neutrino reconstruction resolution are included.
Bauer Christian W.
Ligeti Zoltan
Luke Michael
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