Two-Body Decays of the Lightest Stop in Supergravity with and without R-Parity

Abstract

We study the decays of the lightest top squark in supergravity models with and without R-parity. Using the simplest model with an effective explicit bilinear breaking of R-parity and radiative electroweak symmetry breaking we show that, below the threshold for decays into charginos ${\tilde{t}}_1\to c{\chi }_1^{+}$, the lightest stop decays mainly into third generation fermions, ${\tilde{t}}_1\to b\tau$ instead of the R-parity conserving mode ${\tilde{t}}_1\to c{\chi }_1^0$, even for tiny tau--neutrino mass values. Moreover we show that, even above the threshold for decays into charginos, the decay ${\tilde{t}}_1\to b\tau$ may be dominant. We study the role played by the universality of the boundary conditions on the soft supersymmetry breaking terms. This new decay mode ${\tilde{t}}_1\to b\tau$ as well as the cascades originated by the conventional ${\tilde{t}}_1\to c{\chi }_1^0$ decay followed by the R-parity violating neutralino decays can provide new signatures for stop production at LEP and the Tevatron.

Latex, 27 pages, including 11 figures. Version to be published in Nucl. Phys. B

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