The Decay $B\toπ\ellν$ in Heavy Quark Effective Theory

Details The Decay $B\toπ\ellν$ in Heavy Quark Effective Theory The Decay $B\toπ\ellν$ in Heavy Quark Effective Theory

1993-09-15

arxiv.org/abs/hep-ph/9309272v1

Phys.Rev.D49:2331-2345,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages in ReVTeX 3.0, figures appended as postscript file, SLAC-PUB-6345

Scientific paper

10.1103/PhysRevD.49.2331

We present a systematic analysis of the $B^{(*)}\to\pi\,\ell\,\nu$ weak decay form factors to order $1/m_b$ in the heavy quark effective theory, including a discussion of renormalization group effects. These processes are described by a set of ten universal functions (two at leading order, and eight at order $1/m_b$), which are defined in terms of matrix elements of operators in the effective theory. In the soft pion limit, the effective theory yields normalization conditions for these functions, which generalize the well-known current algebra relations derived from the combination of heavy quark and chiral symmetries to next-to-leading order in $1/m_b$. In particular, the effects of the nearby $B^*$-pole are correctly contained in the form factors of the effective theory. We discuss the prospects for a model independent determination of $|V_{ub}|$ and the $B B^*\pi$ coupling constant from these processes.

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