Perturbative QCD Analysis of $B$ Meson Decays

Details Perturbative QCD Analysis of $B$ Meson Decays Perturbative QCD Analysis of $B$ Meson Decays

1994-11-16

arxiv.org/abs/hep-ph/9411308v1

Phys.Rev.D53:2480-2490,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages in latex, figures are available for request

Scientific paper

10.1103/PhysRevD.53.2480

Resummation of large QCD radiative corrections, including leading and next-to-leading logarithms, in pion electromagnetic form factor is reviewed. Similar formalism is applied to exclusive processes involving heavy mesons, and leads to Sudakov suppression for the semi-leptonic decay $B\to\pi l\nu$. It is found that, with the inclusion of Sudakov effects, perturbative QCD analysis of this decay is possible for the energy fraction of the pion above 0.3. By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $|V_{ub}|$ is roughly 0.003.

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