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Improved Determination of the Mass of the $1^{-+}$ Light Hybrid Meson From QCD Sum Rules

H. Y. Jin·J. G. Korner·T. G. Steele
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Abstract

We calculate the next-to-leading order (NLO) $α_s$-corrections to the contributions of the condensates $<αG^2>$ and $<\bar qq>^2$ in the current-current correlator of the hybrid current $g\barq(x)γ_νiF_{μν}^aT^aq(x)$ using the external field method in Feynman gauge. After incorporating these NLO contributions into the Laplace sum-rules, the mass of the $J^{PC}$=$1^{-+}$ light hybrid meson is recalculated using the QCD sum rule approach. We find that the sum rules exhibit enhanced stability when the NLO $α_s$-corrections are included in the sum rule analysis, resulting in a $1^{-+}$ light hybrid meson mass of approximately 1.6 GeV.

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H. Y. Jin, J. G. Korner, T. G. Steele. 2002-11-19. Improved Determination of the Mass of the $1^{-+}$ Light Hybrid Meson From QCD Sum Rules. https://doi.org/10.1103/physrevd.67.014025

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