Testing factorization in B -> D(*)X decays

Details Testing factorization in B -> D(*)X decays Testing factorization in B -> D(*)X decays

2002-08-05

arxiv.org/abs/hep-ph/0208034v2

Phys.Rev.D67:014010,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 included .eps figures, minor changes

Scientific paper

10.1103/PhysRevD.67.014010

In QCD the amplitude for B0 -> D(*)+pi- factorizes in the large Nc limit or in the large energy limit Q >> Lambda_QCD where Q = {m_b, m_c, m_b-m_c}. Data also suggests factorization in exclusive processes B-> D* pi+ pi- pi- pi0 and B-> D* omega pi-, however by themselves neither large Nc nor large Q can account for this. Noting that the condition for large energy release in B0-> D+ pi- is enforced by the SV limit, m_b, m_c >> m_b-m_c >> Lambda, we propose that the combined large Nc and SV limits justify factorization in B -> D(*) X. This combined limit is tested with the inclusive decay spectrum measured by CLEO. We also give exact large Nc relations among isospin amplitudes for B -> D(*)X and B -> D(*) D-bar(*)X, which can be used to test factorization through exclusive or inclusive measurements. Predictions for the modes B-> D(*) pi pi, B-> D(*)K K-bar and B-> D(*) D-bar(*) K are discussed using available data.

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