R-symmetry in MSSM and beyond

Physics – High Energy Physics

Scientific paper

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Supersymmetry, Global Symmetries, Quantum Chromodynamics, Supersymmetric Models

Scientific paper

This talk explores the role that U(1) (or some discrete) R-symmetries can play in the construction of realistic supersymmetric models. By exploiting U(1)R, the first part attempts to obtain a more robust version of MSSM in which neutrinos are massive and the resolution of the μ and strong CP problems is intimately related. The second part goes beyond the MSSM gauge group by considering SU(3)c×SU(2)L×SU(2)R×U(1)B-L, supplemented by U(1)R. The parameter tan β~=mt/mb, which allows one to predict the top quark mass in the right ball park, and also explain why the `standard model' higgs h° has so far not been found at LEPII. Its tree level mass is MZ° and, after radiative corrections, one expects mh°~110+/-10 GeV. This particular scheme also resolves the μ problem of MSSM and enables one to realize an inflationary epoch with the spectral index of density fluctuations very close to unity (n~0.98).

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