GUT Scale Threshold Corrections in a Complete Supersymmetric SO(10) Model: $α_s(M_Z)$ vs. Proton Lifetime

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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29 pages, using revtex, 2 figures (not included)

Scientific paper

10.1103/PhysRevD.54.2261

We show that one loop GUT scale threshold corrections to gauge couplings are a significant constraint on the GUT symmetry breaking sector of the theory. The one loop threshold corrections relate the prediction for $\alpha_s(M_Z)$ to the proton lifetime. We have calculated these corrections in a new complete SO(10) SUSY GUT. The results are consistent with the low energy measurement of $\alpha_s(M_Z)$. We have also calculated the proton lifetime and branching ratios in this model. We show that proton decay rates provide a powerful test for theories of fermion masses.

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