SO(10) paths to dark matter

Abstract

The grand-unification gauge group SO(10) contains matter parity as a discrete subgroup. This symmetry could be at the origin of dark matter stability. The properties of the dark matter candidates depend on the path along which SO(10) is broken, in particular through Pati-Salam or left-right symmetric subgroups. We systematically determine the non-supersymmetric dark matter scenarios that can be realized along the various paths. We emphasize that the dark matter candidates may have colored or electrically charged partners at low scale that belong to the same SO(10) multiplet. These states, which in many cases are important for co-annihilation, could be observed more easily than the dark matter particle. We determine the structure of the tree-level and loop-induced mass splittings between the dark matter candidate and their partners and discuss the possible phenomenological implications. CONTENTS

Unification, proton decay, and topological defects in non-SUSY GUTs with thresholds

“…The neutrino and charged fermion mass and mixing generation in the context of unified theories are discussed in [24,[44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61]. In [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76] different cosmological aspects and dark matter scenarios are discussed. An important result of the present paper, using the goodness of fit test for unification with two-loop renormalisation group evolution equations (RGEs), is the extent to which the inclusion of threshold corrections significantly affects the proton lifetime, allowing several scenarios, which would otherwise be excluded, to survive.…”

Triplet leptogenesis, type-II seesaw dominance, intrinsic dark matter, vacuum stability and proton decay in minimal SO(10) breakings

“…However, in the absence of any experimental evidence of SUSY, very recently non-SUSY SO (10) has been in the spot light because of its inherent and intrinsic capabilities of explaining the candidates of dark matter and their stability. In particular, an intrinsic gauged discrete symmetry [43], surviving as matter parity in SO(10) breakings [44][45][46][47][48][49][50][51][52]…”

“…has been found to stabilise the non-standard scalars and fermions which are also predicted to originate intrinsically from this non-SUSY GUT representations as possible DM candidates leading to a number of attractive predictions [44][45][46][47][48][49][50][51][52]. It is quite important to note that the matter parity conservation down to low energies naturally emerges whenever the popular Higgs representation 126 † H (along with a 45 H , 54 H , or 210 H ) is used to break the underlying U (1) B−L gauge symmetry and 10 H is used to break the electroweak symmetry materialising in type-I⊕type-II seesaw formula for neutrino masses of eq.(1).…”

“…It is quite important to note that the matter parity conservation down to low energies naturally emerges whenever the popular Higgs representation 126 † H (along with a 45 H , 54 H , or 210 H ) is used to break the underlying U (1) B−L gauge symmetry and 10 H is used to break the electroweak symmetry materialising in type-I⊕type-II seesaw formula for neutrino masses of eq.(1). So far the SO(10) based matter parity conserving DM models have been largely exploiting the type-I seesaw dominance in non-SUSY SO(10) [44][45][46][48][49][50][51][52]. On the other hand it is quite interesting to note that whenever type-II dominance occurs in such a minimal SUSY or non-SUSY SO(10) GUT, it predicts the following constraint relation among light and heavy neutrino mass eigen valueŝ m ν 1 :m ν 2 :m ν 3 ::M N 1 :M N 2 :M N 2 .…”

Inflation, proton decay, and Higgs-portal dark matter in $$SO(10) \times U(1)_\psi $$

“…In fact, the DM candidate is stable even when higher dimensional operator are introduced because of the SO(10) and Lorentz invariance (see, for example, Ref. [21] for a variety of DM candidates in the SO(10) scenario).…”