2024/10/10 by R.M. Albuquerque, Albuquerque, R. M., Stéphan Narison +3
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.2410.08281
openalex publication_date 2024/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review our results on light scalar quarkonia (qq and four-quark states) from (inverse) QCD Laplace sum rules (LSR) and their ratios \cal R within stability criteria and including higher order perturbative (PT) corrections up to the (estimated) \mathcal O(αs5). As the Operator Product Expansion (OPE) usually converges for D\leqslant 6-8, we evaluated the QCD spectral functions at Lowest Order (LO) of PT QCD and up to the D=6 dimension vaccum condensates. We request that the optimal results obey the constraint: Pole (Resonance) contribution to the spectral integral is larger than the QCD continuum one which excludes an on-shell mass around (500-600)MeV obtained for values of the QCD continuum threshold tc\leqslant(1∼ 1.5) GeV2. Our results for the different assignments of the scalar mesons are compiled in Tables 1 to 3