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

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

2002-11-19

arxiv.org/abs/hep-ph/0211304v1

Phys.Rev.D67:014025,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex4, 10 pages, 7 eps figures embedded in manuscript

Scientific paper

10.1103/PhysRevD.67.014025

We calculate the next-to-leading order (NLO) $\alpha_s$-corrections to the contributions of the condensates $<\alpha G^2>$ and $<\bar qq>^2$ in the current-current correlator of the hybrid current $g\barq(x)\gamma_{\nu}iF_{\mu\nu}^aT^aq(x)$ 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 $\alpha_s$-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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