A minimal non-supersymmetric SO(10) model with Peccei–Quinn symmetry

Abstract

We present a minimal non-supersymmetric SO(10) GUT breaking directly to the Standard Model gauge group. Precise gauge coupling unification is achieved due to the presence of two color-octet scalars, one of which is accessible to LHC searches. Proton lifetime is predicted to be below 4.5 × 10 34 years, which is within the projected five-year sensitivity of the proposed Hyper-Kamiokande experiment. We find that the Standard Model observables are reproduced to a reasonable accuracy in a numerical fit, which also predicts the unknown neutrino parameters. Finally, the two scalar representations stabilize the electroweak vacuum and the dark matter is comprised of axions.

Fits to non-supersymmetric SO(10) models with type I and II seesaw mechanisms using renormalization group evolution

“…In fact, the fit results suggest a value of θ 23 in the lower octant, whereas the data favors a value in the higher octant [46]. This tension in the values of sin 2 θ 23 has been observed in similar fits to ours [18,23]. If future neutrino experiments shift the value of θ 23 to be in the lower octant, the goodness of the fits presented in this work would be greatly improved.…”

“…Refs. [23,31,32]. Our aim in this work is to present general results of fits for the seesaw mechanisms of types I and II, for which we need to verify that the results are not sensitive to the exact unification scale.…”

“…As neutrino data became available to the level of precision that allowed fits to be made, the initial attempts to accommodate neutrino masses and leptonic mixing parameters were performed for SUSY models [11][12][13][14][15][16] with the type-I or type-II seesaw mechanism, or a mixture thereof. There have also been numerous fits of the Yukawa sector of various non-SUSY models with type-I seesaw [17][18][19][20][21][22][23], with the conclusion that these fits are possible depending on the specifics of the Yukawa sector and the symmetry breaking pattern. Furthermore, fits with type-II seesaw or a combination of types I and II seesaw have been considered in non-SUSY scenarios [24,25], which concluded that models with type-II seesaw only do not yield acceptable fits, but that type-II seesaw in combination with type-I seesaw provides good fits.…”

“…* tohlsson@kth.se † pernow@kth.se arXiv:1903.08241v2 [hep-ph] 19 Jun 2019 from M GUT to M Z , a complete analysis should integrate out the right-handed neutrinos at their respective mass scales, which has been carried out in Refs. [18,23]. Other works either performed the fits at M GUT or assumed that all right-handed neutrinos were integrated out simultaneously during the RG evolution.In this work, we consider fits to non-SUSY SO(10) models with neutrino mass being generated by either the type-I or type-II seesaw mechanism or a combination of both, similar to Ref.…”

Several Problems in Particle Physics and Cosmology Solved in One SMASH

“…In fact, a one-step breaking model analogous to miniSU(5)PQ can also be realized in SO(10) by breaking the group at a high scale not just with the 210 H , but with the added effect of a nonzero VEV in a 45 H scalar multiplet [76]. In this model, successful unification with a proton lifetime in reach of Hyper-Kamiokande is achieved by ensuring that the octets and triplets inside the 210 H remain light, in analogy with the light triplets in miniSU(5)PQ.…”