Abstract
We consider a class of unified models based on the gauge group SO(10) which with appropriate choice of Higgs representations generate in a natural way a pair of light Higgs doublets needed to accomplish electroweak symmetry breaking. In this class of models higher dimensional operators of the form matter-matter-Higgs-Higgs in the superpotential after spontaneous breaking of the GUT symmetry generate contributions to Yukawa couplings which are comparable to the ones from cubic interactions. Specifically we consider an SO(10) model with a sector consisting of 126 + overline{126} + 210 of heavy Higgs which breaks the GUT symmetry down to the standard model gauge group and a sector consisting of 2 × 10 + 120 of light Higgs fields. In this model we compute the corrections from the quartic interactions to the Yukawa couplings for the top and the bottom quarks and for the tau lepton. It is then shown that inclusion of these corrections to the GUT scale Yukawas allows for consistency of the top, bottom and tau masses with experiment for low tan β with a value as low as tan β of 5–10. We compute the sparticle spectrum for a set of benchmarks and find that satisfaction of the relic density is achieved via a compressed spectrum and coannihilation and three sets of coannihilations appear: chargino-neutralino, stop-neutralino and stau-neutralino. We investigate the chargino-neutralino coannihilation in detail for the possibility of observation of the light chargino at the high luminosity LHC (HL-LHC) and at the high energy LHC (HE-LHC) which is a possible future 27 TeV hadron collider. It is shown that all benchmark models but one can be discovered at HL-LHC and all would be discoverable at HE-LHC. The ones discoverable at both machines require a much shorter time scale and a lower integrated luminosity at HE-LHC.
Highlights
Superheavy and unsuitable for electroweak symmetry breaking
In this work we consider a class of SO(10) models which lead to a pair of light Higgs doublets without the necessity of a fine tuning needed in generic grand unified models
The focus of this work is to show that significant contributions from the higher dimensional operators to the Yukawa couplings arise from matter-matter-HiggsHiggs interactions in the superpotential where one of the Higgs fields is light and the other heavy, even though the interactions are suppressed by a heavy mass
Summary
The heavy Higgs sector of our SO(10) model consists of 126(∆)+126(∆)+210(Φ), while the light sector contains. This condition requires absence of explicit masses for 2×10+120 as well as absence of couplings 10 · 120 · 210 and 120 · 120 · 210 which would otherwise give superheavy masses to them after the 210 develops a heavy VEV. These constraints which were given in eqs. Numerical values of the nonzero matrix elements of U and V are displayed in tables 2 and 3 for benchmarks of table 1
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