Probing minimal supergravity at the CERN LHC for largetanβ

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Abstract

For large values of the minimal supergravity model parameter $\mathrm{tan}\ensuremath{\beta},$ the tau lepton and the bottom quark Yukawa couplings become large, leading to reduced masses of $\ensuremath{\tau}$ sleptons and b squarks relative to their first and second generation counterparts, and to enhanced decays of charginos and neutralinos to $\ensuremath{\tau}$ leptons and b quarks. We evaluate the reach of the CERN Large Hadron Collider (LHC) $\mathrm{pp}$ collider for supersymmetry in the MSUGRA model parameter space. We find that values of ${m}_{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{g}}\ensuremath{\sim}1500--2000 \mathrm{GeV}$ can be probed with just $10 {\mathrm{fb}}^{\ensuremath{-}1}$ of integrated luminosity for $\mathrm{tan}\ensuremath{\beta}$ values as high as 45, so that MSUGRA cannot escape the scrutiny of LHC experiments by virtue of having a large value of $\mathrm{tan}\ensuremath{\beta}.$ We also perform a case study of an MSUGRA model at $\mathrm{tan}\ensuremath{\beta}=45$ where ${Z}_{2}\ensuremath{\rightarrow}\ensuremath{\tau}{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\tau}}}_{1}$ and ${W}_{1}\ensuremath{\rightarrow}{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\tau}}}_{1}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ with $\ensuremath{\sim}100%$ branching fraction. In this case, at least within our simplistic study, we show that a di-tau mass edge, which determines the value of ${m}_{{Z}_{2}}\ensuremath{-}{m}_{{Z}_{1}},$ can still be reconstructed. This information can be used as a starting point for reconstructing SUSY cascade decays on an event-by-event basis, and can provide a strong constraint in determining the underlying model parameters. Finally, we show that for large $\mathrm{tan}\ensuremath{\beta},$ there can be an observable excess of $\ensuremath{\tau}$ leptons, and argue that $\ensuremath{\tau}$ signals might serve to provide new information about the underlying model framework.

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