R-parity violation in $(t+\bar{t})\tilde{g}$ production at LHC and Tevatron

Abstract

We study the production of $(t+\bar{t})\tilde{g}$ at the hadron colliders in an R-parity ($R_p$) violating supersymmetric model. This process provides us with information not only about $R_p$ violation, but may also help us in detecting the supersymmetry itself. It is possible to detect an $R_p$ violating signal (with single gluino production) at the future hadron colliders, such as Fermilab Tevatron Run II or CERN Large Hadron Collider (LHC), if the parameters in the supersymmetric $\text{/}{R}_p$ interactions are not too small, e.g. for $m_{\tilde{g}}=1$ TeV, $\hat{I}{»}^{{}^{\prime \prime }}=0.1$, still hundreds of events are produced at LHC with luminosity $30f{b}^{-1}$. Even if we could not detect a signal of $\text{/}{R}_p$ in the experiment, we get stringent constraints on the heavy flavour $\text{/}{R}_p$ couplings. In addition to the minimal supersymmetric standard model we have also considered some models with a heavy gluino as the lightest supersymmetric particle.

12 pages, 8 figures