Resummation of relativistic corrections to heavy quarkonium + γ production at Z factory

2024/06/09 by Anton Trunin, Trunin, Anton
Physics and Astronomy · Medicine · #Particle Detector Development and Performance #Particle physics theoretical and experimental studies #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2406.05729

Abstract

Cross sections of the heavy quarkonium production process e⁺e^-→ H + γ at the c.m. energy of Z⁰-boson resonance are calculated at leading order in α_s with relativistic corrections resummed within the framework of nonrelativistic QCD (NRQCD). S- and P-wave charmonia and bottomonia are considered. For J/ψ(Υ) production, the result of vector-meson-dominance (VMD) approach is also given. Relativistic contributions to charmonium production are of the same magnitude as next-to-leading order QCD corrections, decreasing cross section 20-30%. Relativistic corrections to bottomonium production are negligible, not exceeding 2%.

Related

• Relativistic description of the double P-wave charmonium production in e⁺e^- annihilation
• Revisiting relativistic corrections to inclusive J/ψ production at B factories: Complete expansion for three-body quarkonium production
• Production of S-wave charmonia in the soft gluon resummation approach using the NRQCD
• Higher-order corrections to exclusive production of charmonia at B factories
• Some recent progress in understanding exclusive double charmonium production at B factories