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Factorization in exclusive quarkonium production

2010/03/31 by Geoffrey T. Bodwin, Xavier Garcia i Tormo, Jungil Lee · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.81.114014

published as Phys.Rev.D81:114014,2010 · 69 pages, 12 figures, 2 tables. v2: Version published in Physical Review D

openalex publication_date 2010/06/08 · arxiv created 2010/06/25 · arxiv updated 2010/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present factorization theorems for two exclusive heavy-quarkonium production processes: production of two quarkonia in e+e^\ensuremath- annihilation and production of a quarkonium and a light meson in B-meson decays. We describe the general proofs of factorization and supplement them with explicit one-loop analyses, which illustrate some of the features of the soft-gluon cancellations. We find that violations of factorization are generally suppressed relative to the factorized contributions by a factor v2mc/Q for each S-wave charmonium and a factor mc/Q for each L-wave charmonium with L>0. Here, v is the velocity of the heavy quark or antiquark in the quarkonium rest frame, Q=√(s) for e+e^\ensuremath- annihilation, Q=mB for B-meson decays, √(s) is the e+e^\ensuremath- center-of-momentum energy, mc is the charm-quark mass, and mB is the B-meson mass. There are modifications to the suppression factors if quantum-number restrictions apply for the specific process.

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