2020/07/31 by Hee Sok Chung · 21 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quarkonium #Renormalization #Scale (ratio) #Wave function #hep-ph
paper · pdf · doi:10.1007/jhep12(2020)065
published in Journal of High Energy Physics 2020(12) (Springer Nature) · 62 pages, 9 figures, 2 tables, typos corrected, version published in JHEP
openalex created_date 2020/07/10 · openalex publication_date 2020/12/01 · arxiv created 2020/12/10 · arxiv updated 2020/12/14 · openalex updated_date 2026/08/06
A bstract We compute S -wave quarkonium wavefunctions at the origin in the MS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover><mml:mi>MS</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> scheme based on nonrelativistic effective field theories. We include the effects of nonperturbative long-distance behaviors of the potentials, while we determine the short-distance behaviors of the potentials in perturbative QCD. We obtain MS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover><mml:mi>MS</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> -renormalized quarkonium wavefunctions at the origin that have the correct scale dependences that are expected from perturbative QCD, so that the scale dependences cancel in physical quantities. Based on the calculation of the wavefunctions at the origin, we make model-independent predictions of decay constants and electromagnetic decay rates of S -wave charmonia and bottomonia, and compare them with measurements. We find that the poor convergence of perturbative QCD corrections are substantially improved when we include corrections to the wavefunctions at the origin in the calculation of decay constants and decay rates.