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Ellis, John,Evans, Jason L.,Nagata, Natsumi,Nanopoulos, Dimitri V.,Olive, Keith A. Springer-Verlag 2017 European Physical Journal C Vol.77 No.4
<P>We reconsider the minimal SU(5) grand unified theory (GUT) in the context of no-scale supergravity inspired by string compactification scenarios, assuming that the soft supersymmetry-breaking parameters satisfy universality conditions at some input scale Min above the GUT scale MGUT. When setting up such a no-scale super-GUT model, special attention must be paid to avoiding the Scylla of rapid proton decay and the Charybdis of an excessive density of cold dark matter, while also having an acceptable mass for the Higgs boson. We do not find consistent solutions if none of the matter and Higgs fields are assigned to twisted chiral superm.ultiplets, even in the presence of Giudice Masiero terms. However, consistent solutions may be found if at least one fiveplet of GUT Higgs fields is assigned to a twisted chiral superm.ultiplet, with a suitable choice of modular weights. Spin-independent dark matter scattering may be detectable in some of these consistent solutions.</P>
Ellis, John,Evans, Jason L.,Mustafayev, Azar,Nagata, Natsumi,Olive, Keith A. Springer-Verlag 2016 European Physical Journal C Vol.76 No.11
<P>We revisit minimal supersymmetric SU(5) grand unification (GUT) models in which the soft supersymmetry-breaking parameters of the minimal supersymmetric Standard Model (MSSM) are universal at some input scale, M-in, above the supersymmetric gauge-coupling unification scale, M-GUT. As in the constrained MSSM (CMSSM), we assume that the scalar masses and gaugino masses have common values, m(0) and m(1/2), respectively, at Min, as do the tri-linear soft supersymmetry-breaking parameters A(0). Going beyond previous studies of such a super-GUT CMSSM scenario, we explore the constraints imposed by the lower limit on the proton lifetime and the LHC measurement of the Higgs mass, m(h). We find regions of m(0), m(1/2), A(0) and the parameters of the SU(5) superpotential that are compatible with these and other phenomenological constraints such as the density of cold dark matter, which we assume to be provided by the lightest neutralino. Typically, these allowed regions appear for m(0) and m(1/2) in the multi-TeV region, for suitable values of the unknown SU(5) GUT-scale phases and superpotential couplings, and with the ratio of supersymmetric Higgs vacuum expectation values tan beta less than or similar to 6.</P>