Vacuum stability and radiative electroweak symmetry breaking in an SO(10) dark matter model
Abstract
Vacuum stability in the Standard Model is problematic as the Higgs quartic selfcoupling runs negative at a renormalization scale of about 10^{10} GeV . We consider a nonsupersymmetric SO(10) grand unification model for which gauge coupling unification is made possible through an intermediate scale gauge group, G_{int}=SU (3 )_{C}⊗SU (2 )_{L}⊗SU (2 )_{R}⊗U (1 )_{B L} . G_{int} is broken by the vacuum expectation value of a 126 of SO(10) which not only provides for neutrino masses through the seesaw mechanism but also preserves a discrete Z_{2} that can account for the stability of a dark matter candidate, here taken to be the Standard Model singlet component of a bosonic 16 . We show that in addition to these features the model insures the positivity of the Higgs quartic coupling through its interactions to the dark matter multiplet and 126 . We also show that the Higgs mass squared runs negative, triggering electroweak symmetry breaking. Thus, the vacuum stability is achieved along with radiative electroweak symmetry breaking and captures two more important elements of supersymmetric models without lowenergy supersymmetry. The conditions for perturbativity of quartic couplings and for radiative electroweak symmetry breaking lead to tight upper and lower limits on the dark matter mass, respectively, and this dark matter mass region (1.352 TeV) can be probed in future direct detection experiments.
 Publication:

Physical Review D
 Pub Date:
 June 2016
 DOI:
 10.1103/PhysRevD.93.111703
 arXiv:
 arXiv:1602.05583
 Bibcode:
 2016PhRvD..93k1703M
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 5 pages, 3 figures