George Lazarides

Proton Lifetime and Fermion Masses in an SO(10) Model

Some consequences of an SO(10) gauge theory which breaks down to SU(3)c × U(1)e.m. via SU(4)c × SU(2)L × SU(2)R are presented. These include: (i) A proton lifetime estimate of (1–20) × 1031 yr. (ii) Mass relations involving quarks and charged leptons. The explanation of the violation of the asymptotic SU(5) relation me = md is linked to the new intermediate mass scale in SO(10). The top quark mass is estimated to be 20 ± 2 GeV at the toponium mass. (iii) The possibility of a fourth generation (ντ′, τ′, b′, t′) with mτ′ ≅ 17–35 GeV, mb′ ⋍ 42–118 GeV and mt′ ⋍ 150–230 GeV. (iv) Heaviest neutrino mass in the 1–10 eV range. In addition, the masses of the superheavy neutrinos are of order 5 × 1012 − 5 × 1013 GeV. (v) Neutron-antineutron oscillations with τnn > 1038 yr.

Origin of matter in the inflationary cosmology

Abstract We propose a new scenario for generating the baryon asymmetry in the universe within the framework of the inflationary cosmology. The decay of the weakly coupled inflaton field via the heavy Majorana neutrinos produces an asymmetry in one or more species of the light neutrinos. The subsequent appearance of rapid fermion-number violating processes due to nonperturbative electroweak effects transforms a specified fraction of this asymmetry to the observed baryon asymmetry. Examples based on the SO(10) model are presented.

Supersymmetric inflation with constraints on superheavy neutrino masses

We consider a supersymmetric model of inflation in which the primordial density fluctuations are nearly scale invariant (spectral index

μ Problem and hybrid inflation in supersymmetric SU(2)L×SU(2)R×U(1)B−L

nensuremath{approx}0.98)

Radiative electroweak breaking and sparticle spectroscopy with tan β⋍mt/mb☆

with an amplitude proportional to

SU(5) monopoles, magnetic symmetry and confinement

{(M/M}_{mathrm{Planck}}{)}^{2}

Phase transitions and magnetic monopoles in SO(10)

, where

Supersymmetric unification without proton decay

Mensuremath{sim}{10}^{16}

Infrared behaviour of Yang-Mills theory at high temperatures

GeV denotes the scale of the gauge symmetry breaking associated with inflation. The 60 or so

SUPERHEAVY MAGNETIC MONOPOLE HUNT

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