Heavy Quark Symmetry in Nonleptonic B-Decays to Excited Charmed Mesons

Abstract

We show in a model independent way the equality of the branching fractions and strong phases for B-> D_1M and B-> D_2^*M at leading order in Lambda _{QCD}/Q and alpha_s(Q) where Q={m_b,m_c,E_M} and M is a light meson. These results apply in the color allowed and color suppressed channels and follow from a factorization theorem in SCET combined with heavy quark symmetry. The expected heavy quark symmetry suppression of leading order contributions in the color allowed sector based on analysis of semileptonic decays, is shown to disappear at maximum recoil. Subleading corrections are suppressed by at least one power of Lambda_{QCD}/Q and this is explicitly verified for subleading semileptonic form factors at maximum recoil.

arXiv comment22 pages, 5 figures, typos corrected, references added, discussion on subleading effects clarified, replaced version accepted for publication in Phys.Rev.D

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• Production of P-wave Charmed Mesons in Hadronic B Decays
• Study of $D^{\ast \ast }$ production and light hadronic states in the ${\bar{B}}^0\to D^{\ast +}\omega {\pi }^{-}$ decay
• Factorization in color-suppressed B -> D(*)0 pi0 decays from the soft-collinear effective theory