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

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Auteurs principaux: Li, Shuang-Hong, Huang, Zhuo-Ran, Chen, Wei, Jin, Hong-Ying
Format: Preprint
Publié: 2025
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author Li, Shuang-Hong
Huang, Zhuo-Ran
Chen, Wei
Jin, Hong-Ying
author_facet Li, Shuang-Hong
Huang, Zhuo-Ran
Chen, Wei
Jin, Hong-Ying
contents 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. These corrections 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 in the conservative range of $2.1-2.4\,\text{GeV}$ for the light $1^{--}$ hybrid. These predictions are significantly lower than previous leading-order (LO) estimates (around $2.9\,\text{GeV}$) and bridge the gap between QCD sum rules and other approaches. Our findings establish the $ϕ(2170)$ resonance as a prime candidate for the light vector hybrid meson.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22412
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revising the Mass of Light Hybrid Mesons: NLO QCD Sum Rules Point to $ϕ(2170)$ as a Prime Candidate
Li, Shuang-Hong
Huang, Zhuo-Ran
Chen, Wei
Jin, Hong-Ying
High Energy Physics - Phenomenology
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. These corrections 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 in the conservative range of $2.1-2.4\,\text{GeV}$ for the light $1^{--}$ hybrid. These predictions are significantly lower than previous leading-order (LO) estimates (around $2.9\,\text{GeV}$) and bridge the gap between QCD sum rules and other approaches. Our findings establish the $ϕ(2170)$ resonance as a prime candidate for the light vector hybrid meson.
title Revising the Mass of Light Hybrid Mesons: NLO QCD Sum Rules Point to $ϕ(2170)$ as a Prime Candidate
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.22412