Finite Unified Theories and the Higgs Mass Prediction

Abstract

Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) sectors. This remarkable property provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass in the dimensionless sector, and predictions for the Higgs boson mass and the supersymmetric spectrum in the dimensionful sector. Here we examine the predictions of two FUTs taking into account a number of theoretical and experimental constraints. For the first one we present 1

Unified Theories: From Finiteness to Fuzzy Extra Dimensions

“…A more detailed numerical analysis, where the results of our program and of the known programs FeynHiggs 52) and Suspect 53) are combined, is currently in progress. 54) …”

Constraining the mSUGRA (minimal supergravity) parameter space using the entropy of dark matter halos

“…The result then favors the scenario where the ratio of the vacuum expectation values for the neutral supersymmetric Higgs bosons is large. Some other SUSY extensions of the SM, taken together with LEP data [32], can also favor large values of tan β (for instance Grand Unified or supergravity models with Yukawa coupling unification (see for instance [33,34]), or Finite Unified Theories (see for instance [35,36])). Moreover, we went a step further and analyze the mass spectrum of the SUSY particles and obtained a bound for the neutralino mass for the bulk and co-annihilation region, m χ ≥ 141 GeV, which is higher than the actual experimental constraint, m χ > 46 Gev [37].…”

“…Constraining the mSUGRA parameter space using the entropy of dark matter halos unified or supergravity models with Yukawa coupling unification (see for instance [33,34]), or finite unified theories (see for instance [35,36])).…”

Reduction of the parameters in MSSM

“…Using the above tools and results it was possible to study and predict the spectrum of the full finite models in terms of few input parameters. A particular finite model was selected out of this examination and provided us with the prediction for the lightest MSSM Higgs boson in the range of 121-126 Gev [58][59][60][61] four and half years before the experimental discovery [62,63]. 1 Identifying the lightest Higgs boson with the newly discovered state one can restrict the allowed parameter space of the model.…”