Inflation, proton decay, and Higgs-portal dark matter in SO(10) x U(1)(psi)

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Date
2019
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Springer
Abstract

We propose a simple non-supersymmetric grand unified theory (GUT) based on the gauge group (SO\left(10\right)×U{\left(1\right)}{\psi }). The model includes 3 generations of fermions in (16) ( (+1) ), (10) ( (-2) ) and (1) ( (+4) ) representations. The (16) -plets contain Standard Model (SM) fermions plus right-handed neutrinos, and the (10) -plet and the singlet fermions are introduced to make the model anomaly-free. Gauge coupling unification at ({M}{\mathrm{GUT}}\simeq 5×{10}^{15}-{10}^{16}) GeV is achieved by including an intermediate Pati–Salam breaking at ({M}{I}\simeq {10}^{12}-{10}^{11}) GeV, which is a natural scale for the seesaw mechanism. For ({M}{I}\simeq {10}^{12}-{10}^{11}), proton decay will be tested by the Hyper-Kamiokande experiment. The extra fermions acquire their masses from (U{\left(1\right)}{\psi }) symmetry breaking, and a (U{\left(1\right)}{\psi }) Higgs field drives a successful inflection-point inflation with a low Hubble parameter during inflation, ({H}{\mathrm{inf}}\ll {M}{I}). Hence, cosmologically dangerous monopoles produced from SO(10) and PS breakings are diluted away. This is the first SO(10) model we are aware of in which relatively light intermediate mass ( (\sim {10}^{10}-{10}^{12}) GeV) primordial monopoles can be adequately suppressed. The reheating temperature after inflation can be high enough for successful leptogenesis. With the Higgs field contents of our model, a ({Z}{2}) symmetry remains unbroken after GUT symmetry breaking, and the lightest mass eigenstate among linear combinations of the (10) -plet and the singlet fermions serves as a Higgs-portal dark matter (DM). We identify the parameter regions to reproduce the observed DM relic density while satisfying the current constraint from the direct DM detection experiments. The present allowed region will be fully covered by the future direct detection experiments such as LUX-ZEPLIN DM experiment. In the presence of the extra fermions, the SM Higgs potential is stabilized up to ({M}{I}).

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Keywords
GRAND UNIFIED THEORIES, MAGNETIC MONOPOLES, COUPLING-CONSTANTS, NEUTRINO MASS, ANOMALIES, STRINGS, SCALE, ELECTROWEAK, PREDICTIONS, PHYSICS, Physics, Particles & Fields, Physics
Citation
Okada, N., Raut, D., & Shafi, Q. (2019). Inflation, proton decay, and Higgs-portal dark matter in $SO(10) \times U(1)_\psi $. In The European Physical Journal C (Vol. 79, Issue 12). Springer Science and Business Media LLC. https://doi.org/10.1140/epjc/s10052-019-7550-5