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Threshold effects in SO(10) models with one intermediate breaking scale

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arxiv 1911.11411 v2 pith:3W3W7HDE submitted 2019-11-26 hep-ph

Threshold effects in SO(10) models with one intermediate breaking scale

classification hep-ph
keywords breakingscalethresholdcorrectionsmodelsunificationdisfavoredeffects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Despite the successes of the Standard Model of particle physics, it is known to suffer from a number of deficiencies. Several of these can be addressed within non-supersymmetric theories of grand unification based on $\mathrm{SO}(10)$. However, achieving gauge coupling unification in such theories is known to require additional physics below the unification scale, such as symmetry breaking in multiple steps. Many such models are disfavored due to bounds on the proton lifetime. Corrections arising from threshold effects can, however, modify these conclusions. We analyze all seven relevant breaking chains with one intermediate symmetry breaking scale, assuming the "survival hypothesis" for the scalar masses. Two are allowed by proton lifetime and two are disfavored by a failure to unify the gauge couplings. The remaining three unify at a too low scale, but can be salvaged by various amounts of threshold corrections. We parametrize this and thereby rank the models by the size of the threshold corrections required to save them.

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