Enhanced subleading structure functions in semileptonic B decay

Details Enhanced subleading structure functions in semileptonic B decay Enhanced subleading structure functions in semileptonic B decay

2002-05-15

arxiv.org/abs/hep-ph/0205148v1

Phys.Lett. B539 (2002) 242-248

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages

Scientific paper

The charged lepton spectrum in semileptonic $B\to X_u \ell\bar\nu$ decay near maximal lepton energy receives important corrections from subleading structure functions that are formally suppressed by powers of $\Lambda_{QCD}/m_b$ but are enhanced by numerical factors. We investigate the series of higher order terms which smear over a region of width $\Delta E_\ell \sim \Lambda_{QCD}$ near the endpoint the contributions proportional to $\delta(E_\ell - m_b/2)$ times (i) the matrix element of the chromomagnetic operator, and (ii) four-quark operators. These contribute to the total rate at the few percent level, but affect the endpoint region much more significantly. Implications for the determination of $|V_{ub}|$ are discussed.

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