Measuring superparticle masses at hadron collider using the transverse mass kink

Abstract

We present a detailed study of the collider observable \(m_{T2}\) applied for pair-produced superparticles decaying to visible particles and a pair of invisible lightest supersymmetric particles (LSPs). Analytic expressions of the maximum of \(m_{T2}\) over all events (\(m_{T2}^{\rm max}\)) are derived. It is noticed that if the decay product of each superparticle involves more than one visible particles, \(m_{T2}^{\rm max}\) being a function of the {\it trial} LSP mass \({m}_\chi\) has a kink structure at \({m}_\chi=\) true LSP mass, which can be used to determine the mother superparticle mass and the LSP mass simultaneously. To see how well \(m_{T2}^{\rm max}\) can be constructed from collider data, a Monte-Carlo analysis of the gluino \(m_{T2}\) is performed for some superparticle spectra.