Two loop unification of non-SUSY SO(10) GUT with TeV scalars

Abstract

In this paper we examine gauge coupling unification of the the non-SUSY SO(10) grand unified theory proposed by Babu and Mohapatra at the two loop level [1]. This theory breaks down to the standard model in a single step and has the distinguishing feature of TeV non-standard model scalars. This leads to a plethora of interesting new physics at the TeV scale and the discovery of new particles at the LHC. This model gives rise to testable proton decay, neutron-antineutron oscillations, provides a mechanism for baryogenesis, and contains potential dark matter candidates. In this paper, we compute the two loop beta function and show that this model unifies to two loop order around 10 15 GeV. We then compute the proton lifetime, taking into account threshold effects and show that these effects place it above the Super Kamiokande limit [2].

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.…”

Roadmap of left-right models based on GUTs

“…Successful generation of neutrino and fermion masses is one of finest achievements of GUT models [12,[31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. Recently, different aspects of unification have been discussed in the context of dark matter [48][49][50][51][52][53][54][55][56][57]. The implication of domain walls in presence of left-right symmetry in SUSY framework has been studied in [58][59][60].…”

LHC Probes of TeV-Scale Scalars in SO(10) Grand Unification

“…One of the most appealing scenarios for a more fundamental picture is the Grand Unified Theory (GUT) framework, in which the SO (10) GUT is particularly interesting [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] (see Refs. [25][26][27][28][29][30][31] for analyses of the su- * Electronic address: ufuk.aydemir@physics.uu.se † Electronic address: tanumoy.mandal@physics.uu.se persymmetric SO(10) GUT).…”