Light Gluino, Light Bottom Squark Scenario, and LEP Predictions

Details Light Gluino, Light Bottom Squark Scenario, and LEP Predictions Light Gluino, Light Bottom Squark Scenario, and LEP Predictions

2002-05-31

arxiv.org/abs/hep-ph/0205345v3

Phys.Rev.Lett.89:221801,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

to match the published version in PRL

Scientific paper

10.1103/PhysRevLett.89.221801

The scenario of light gluinos and light sbottoms was advocated to explain the discrepancy between the measured and theoretical production of $b$ quarks at the Tevatron. This scenario will have model-independent predictions for $Z\to q\bar q \tilde{g} \tilde{g}$ at the $Z^0$-pole, and $e^+ e^- \to q\bar q \tilde{g} \tilde{g}$ at LEPII. We show that the data for $Z\to q \bar q g^* \to q\bar q b \bar b$ at LEPI cannot constrain the scenario, because the ratio $\Gamma(Z \to q\bar q \tilde{g} \tilde{g})/ \Gamma(Z \to q \bar q g^* \to q\bar q b \bar b) = 0.15 - 0.04$ for $m_{\tilde{g}}= 12-16$ GeV is smaller than the uncertainty of the data. However, at LEPII the ratio $\sigma(e^+ e^- \to q\bar q \tilde{g} \tilde{g})/ \sigma(e^+ e^- \to q \bar q g^* \to q\bar q b \bar b) \simeq 0.4 - 0.2$ for $m_{\tilde{g}}= 12-16$ GeV, which may give an observable excess in $q\bar q b\bar b$ events; especially, the $4b$ events.

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