|Vub| and constraints on the leading-twist pion distribution amplitude from B→πℓν

2005/07/06 by Patricia Ball, Roman Zwicky · 5 citations
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Black Holes and Theoretical Physics #Distribution (mathematics) #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph

paper · pdf · doi:10.1016/j.physletb.2005.08.070

published as Phys.Lett.B625:225-233,2005 · 11 pages, 5 figures

arxiv created 2005/07/06 · openalex publication_date 2005/08/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using new experimental data on the leptonic mass spectrum of B->pi l nu, we simultaneously determine |V_ub| and constrain a₂^pi and a₄^pi, the first two Gegenbauer moments of the pion's leading-twist distribution amplitude. We find |V_ub| = (3.2± 0.1± 0.1± 0.3) 10^-3, where the first error is experimental, the second comes from the shape of the form factor in q² and the third is a 8% uncertainty from the normalisation of the form factor. We also find a₂^pi(1 GeV)=0.19± 0.19 and a₄^pi(1 GeV)≥ -0.07.

Citations

• Semileptonic D→π/K and B→π/D decays in 2+1 flavor lattice QCD
• Models for light-cone meson distribution amplitudes

Cited by

• B, D and K decays
• Probing isovector scalar mesons in the charmless three-body B decays
• Form factors f ₊ ^B → π (0) and f ₊ ^D → π (0) in QCD and determination of |V ub | and |V cd |
• Model-independent results for SU(3) violation in twist-3 light-cone distribution functions
• Dipion light-cone distribution amplitudes and B→ππ form factors