Calculation of the B → π Transition Matrix Element in QCD

1996/07/23 by Alexander Khodjamirian, Khodjamirian, A., R. Rückl +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.hep-ph/9607407

openalex publication_date 1996/07/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We describe the calculation of the B→ π hadronic matrix element from operator product expansion near the light-cone in QCD. In the resulting sum rules, the form factors f⁺ and F₀ determining this matrix element are expressed in terms of pion light-cone wave functions. We present predictions for f⁺ and F₀ in the region of momentum transfer 0 ≤ p² < m_b² - \cal O(1 GeV²) taking into account the wave functions up to twist 4. We also discuss the extrapolation of the form factors to higher p² and their asymptotic dependence on the heavy quark mass.

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