Prediction for the Lightest Higgs Boson Mass in the CMSSM using Indirect Experimental Constraints

Measurements at low energies provide interesting indirect information about masses of particles that are (so far) too heavy to be produced directly. Motivated by recent progress in consistently and rigorously calculating electroweak precision observables and flavour related observables, we derive the preferred value for m_h in the Constrained Minimal Supersymmetric Standard Model (CMSSM), obtained from a fit taking into account electroweak precision data, flavour physics observables and the abundance of Cold Dark Matter. No restriction is imposed on m_h itself: the experimental bound from direct Higgs boson search at LEP is not included in the fit. A multi-parameter chi^2 is minimized with respect to the free parameters of the CMSSM, M_0, M_1/2, A_0, tan(beta). A statistical comparison with the Standard Model fit to the electroweak precision data is made. The preferred value for the lightest Higgs boson mass in the CMSSM is found to be m_h^CMSSM = 110+8-10(exp.)+-3(theo.) GeV/c^2, where the first uncertainty is experimental and the second uncertainty is theoretical. This value is in agreement with the limit from direct Higgs boson search at LEP.