B→M1M2: Factorization, charming penguins, strong phases, and polarization

2004/01/31 by C. Bauer, Christian W. Bauer, Dan Pirjol +2 · 3 citations
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Chemistry #Crystallography #Factorization #High-Energy Particle Collisions Research #Lambda #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.70.054015

published as Phys.Rev. D70 (2004) 054015 · 10 pages, v2 phenomenological analysis of B->pi pi added

arxiv created 2004/06/02 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using the soft-collinear effective theory we derive the factorization theorem for the decays B\ensuremath→M₁M₂ with M_1,2=\ensuremathπ,K,\ensuremathρ,K^*, at leading order in \ensuremathΛ/E_M and \ensuremathΛ/m_b. The results derived here apply even if \ensuremathα_s(E_M\ensuremathΛ) is not perturbative, and we prove that the physics sensitive to the E\ensuremathΛ scale is the same in B\ensuremath→M₁M₂ and B\ensuremath→M form factors. We argue that cc penguins could give long-distance effects at leading order. Decays to two transversely polarized vector mesons are discussed. Analyzing B\ensuremath→\ensuremathπ\ensuremathπ we find predictions for B⁰\ensuremath→\ensuremathπ⁰\ensuremathπ⁰ and |V_ub|f₊^B\ensuremath→\ensuremathπ(0) as a function of \ensuremathγ.

Citations

• Power suppressed operators and gauge invariance in soft-collinear effective theory
• Branching ratio andCPviolation ofB→ππdecays in the perturbative QCD approach
• Weak coupling phase from decays of chargedBmesons to πKand ππ
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• Comment on quark masses in SCET
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• Charming penguins strike back
• QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit
• Measurement of Branching Fractions and Polarization inB→φK(*)Decays
• Improved analysis of B → πeν from QCD sum rules on the light-cone
• Observation of the decayB0→ρ+ρ−and measurement of the branching fraction and polarization
• Rates, Polarizations, and Asymmetries in Charmless Vector-VectorBMeson Decays
• QCD factorization for exclusive non-leptonic B-meson decays: general arguments and the case of heavy–light final states

Cited by

• Diagnostic for new physics in B→πK decays
• Charmless B_(s)→ VV B ( s ) → V V decays in factorization-assisted topological-amplitude approach
• Charmless nonleptonicBsdecays toPP,PV, andVVfinal states in the perturbative QCD approach
• Predictions for b → ss d and b → dd s decays in the SM and with new physics