Extraction of $V_{ub}$ from the Decay $B\to πl ν$

Details Extraction of $V_{ub}$ from the Decay $B\to πl ν$ Extraction of $V_{ub}$ from the Decay $B\to πl ν$

1994-09-15

arxiv.org/abs/hep-ph/9409313v1

Phys.Rev.Lett.74:4388-4391,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, CCUTH-94-05, IP-ASTP-13-94

Scientific paper

10.1103/PhysRevLett.74.4388

We develop the perturbative QCD formalism including Sudakov effects for semi-leptonic $B$ meson decays. We evaluate the differential decay rate of $B\to \pi l \nu$, and find that the perturbative calculation is reliable for the energy fraction of the pion above 0.3. Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.

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