Measurement of the gluino mass via cascade decays for SPS 1a

If R-parity conserving supersymmetry is realised with masses below the TeVscale, sparticles will be produced and decay in cascades at the LHC. In thecase of a neutral LSP, which will not be detected, decay chains cannot be fullyreconstructed, complicating the mass determination of the new particles. Inthis paper we extend the method of obtaining masses from kinematical endpointsto include a gluino at the head of a five-sparticle decay chain. Thisrepresents a non-trivial extension of the corresponding method for the squarkdecay chain. We calculate the endpoints of the new distributions and assesstheir applicability by examining the theoretical distributions for a variety ofmass scenarios. The precision with which the gluino mass can be determined bythis method is investigated for the mSUGRA point SPS 1a. Finally we estimatethe improvement obtained from adding a Linear Collider measurement of the LSPmass.Comment: 40 pages; extended discussion of error