Revising the Mass of Light Hybrid Mesons: NLO QCD Sum Rules Point to ϕ(2170) as a Prime Candidate

2025/06/27 by Li, Shuang-Hong, Huang, Zhuo-Ran, Chen, Wei +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2506.22412

Abstract

We present a comprehensive next-to-leading order (NLO) QCD sum rule analysis for light hybrid mesons with J^PC=1^--, incorporating condensates up to dimension-8 and NLO corrections to the perturbative, gluon condensate, and four-quark condensate contributions, which are found to be substantial and reveal the necessity of contributions beyond leading order. Employing both Laplace (LSR) and Gaussian (GSR) sum rules, our analysis predicts a mass of 2.28 ± 0.12 GeV for ssg and 2.22 ± 0.18 GeV for uug, falling within a conservative range of 2.1-2.4 GeV. These predictions are significantly lower than previous leading-order (LO) estimates (around 2.9 GeV) and bridge the gap between QCD sum rules, lattice QCD (2.2-2.5 GeV), and flux-tube models (1.8-2.2 GeV). Our findings establish the ϕ(2170) resonance as a prime candidate for the light vector hybrid meson.

Citations

• Diabatic Dynamical Diquark Model of Hidden-Strangeness Tetraquarks
• The properties of ϕ(2170) and its three-body nature
• Hybrid mesons
• Mini-review on QCD spectral sum rules
• Light vector hybrid states via QCD sum rules
• Review of Particle Physics
• An Introduction to Sum Rules in QCD

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