Light Gluino Mass and Condensate from Properties of $\eta$ and ${\eta }^{\prime }$

Abstract

We investigate whether known properties of the ${\eta }^{\prime }$ meson are consistent with its being the Goldstone boson of the spontaneously broken anomaly-free R symmetry required in the light gluino scenario. We fit the masses and $2\gamma$ decays of the $\eta$ and ${\eta }^{\prime }$ mesons, and also their production in radiative $J/\psi$ decays. We find that the $\eta -{\eta }^{\prime }$ system is well-described in the light gluino scenario, if $m_{\lambda }\simeq (84-144)MeV$ and $<\bar{\lambda }\lambda >\simeq -(0.15-0.36)Ge{V}^3$. These values are in the range expected when the gluino gets its mass entirely from radiative corrections.

14 pages, LATEX file, 1 PS fig. Some discussions are added, to be published in Phys. Lett. B

References in corpus (6)

• Instantons in QCD
• Determining the Gluonic Content of Isoscalar Mesons
• Detecting Gluino-Containing Hadrons
• Euclidean asymptotic expansions of Green functions of quantum fields (I) Expansions of products of singular functions
• The Case of ${\alpha }_s$: $Z$ versus Low Energies, or How Nature Prompts us of New Physics
• SUSY Breaking and Light Gauginos

Cited by in corpus (6)

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• Searching for Supersymmetry in Hadrons
• Revisiting the U_A(1) problems
• Status of Light Gaugino Scenarios