Interplay of Higgs and Sparticle Masses in the CMSSM with updated SUSY constraints

Abstract

We estimate the bounds on Higgs and sparticle masses and discuss their correlations in the constrained minimal supersymmetric standard model (CMSSM). In our analysis we have applied the present constraints from collider and low energy experiments, as well as the experimental bound on cold dark matter from WMAP. For a given lightest Higgs boson mass, which is expected to be measured with good precision at the LHC, we find important correlations between the Higgs and sparticle masses which allows one to delineate the MSSM model parameters and particle spectra. We have also demonstrated an important complementarity between the LHC and direct dark matter detection experiments emphasizing that by including the experimental input both from collider physics and from dark matter detection experiments, one would significantly improve the measurement of the SUSY spectrum and the underlying parameter space.