Vanishing corrections on the intermediate scale and implications for unification of forces

Details Vanishing corrections on the intermediate scale and implications for unification of forces Vanishing corrections on the intermediate scale and implications for unification of forces

1997-10-05

arxiv.org/abs/hep-ph/9710246v1

Phys.Rev. D57 (1998) 2736-2742

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, Latex

Scientific paper

10.1103/PhysRevD.57.2736

In two-step breaking of a class of grand unified theories including SO(10),we prove a theorem showing that the scale $M_I$ where the Pati-Salam gauge symmetry with parity breaks down to the standard gauge group,has vanishing corrections due to all sources emerging from higher scales $ \mu >M_I$ such as the one-loop and all higher loop effects,the GUT-threshold,gravitational smearing,and string threshold effects. Implications of such a scale for the unification of gauge couplings with small Majorana neutrino masses are discussed.In string inspired SO(10) we show that $M_I \simeq 5\times 10^{12}$,needed for neutrino masses,with the GUT scale $M_U \simeq M_{str}$ can be realized provided certain particle states in the predicted spectum are light.

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