2018/02/01 by P. Faccioli, Pietro Faccioli, Carlos Lourenco +5 · 8 citations
Mathematics · Physics and Astronomy · #Ansatz #Classical mechanics #Factorization #Geometry #High-Energy Particle Collisions Research #Kinematics #Large Hadron Collider #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quarkonium #Rapidity #Scaling #Wave function #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-018-5610-x
published in The European Physical Journal C 78(2) (Springer Science+Business Media) · Submitted to European Physical Journal C
openalex publication_date 2018/02/01 · arxiv created 2018/02/04 · arxiv updated 2018/04/04 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/06
Dimensional analysis reveals general kinematic scaling rules for the momentum, mass, and energy dependence of Drell–Yan and quarkonium cross sections. Their application to mid-rapidity LHC data provides strong experimental evidence supporting the validity of the factorization ansatz, a cornerstone of non-relativistic QCD, still lacking theoretical demonstration. Moreover, data-driven patterns emerge for the factorizable long-distance bound-state formation effects, including a remarkable correlation between the S-wave quarkonium cross sections and their binding energies. Assuming that this scaling can be extended to the P-wave case, we obtain precise predictions for the not yet measured feed-down fractions, thereby providing a complete picture of the charmonium and bottomonium feed-down structure. This is crucial information for quantitative interpretations of quarkonium production data, including studies of the suppression patterns measured in nucleus-nucleus collisions.