6533b855fe1ef96bd12b1ab1
RESEARCH PRODUCT
Improved determination of the mass of the1−+light hybrid meson from QCD sum rules
Hong-ying JinHong-ying JinJ. G. KörnerT. G. Steelesubject
Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsQCD sum rulesParticle physicsMeson010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyOrder (ring theory)Feynman graph01 natural sciencessymbols.namesake0103 physical sciencessymbolsExternal fieldFeynman diagramHigh Energy Physics::ExperimentSum rule in quantum mechanics010306 general physicsdescription
We calculate the next-to-leading order (NLO) ${\ensuremath{\alpha}}_{s}$ corrections to the contributions of the condensates $〈\ensuremath{\alpha}{G}^{2}〉$ and $〈\overline{q}q{〉}^{2}$ in the current-current correlator of the hybrid current $g\overline{q}(x){\ensuremath{\gamma}}_{\ensuremath{\nu}}{\mathrm{iF}}_{\ensuremath{\mu}\ensuremath{\nu}}^{a}{T}^{a}q(x)$ using the external field method in the Feynman gauge. After incorporating these NLO contributions into the Laplace sum rules, the mass of the ${J}^{\mathrm{PC}}{=1}^{\ensuremath{-}+}$ light hybrid meson is recalculated using the QCD sum rule approach. We find that the sum rules exhibit enhanced stability when the NLO ${\ensuremath{\alpha}}_{s}$ corrections are included in the sum rule analysis, resulting in a ${1}^{\ensuremath{-}+}$ light hybrid meson mass of approximately 1.6 GeV.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-30 | Physical Review D |