Unified framework for symmetry breaking in SO(10)

Babu, K. S.; Gogoladze, Ilia; Nath, Pran; Syed, Raza M.

doi:10.1103/physrevd.72.095011

Cited by 58 publications

(95 citation statements)

References 49 publications

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“…(88) which reflects the chose connection of the neutrino mass with electroweak physics. Now the choice f complete analysis of fermion masses including also the Type II and Type III See Saw masses in the unified Higgs framework will be given elsewhere [13].…”

Section: Tau Neutrino Massmentioning

confidence: 99%

“…(4) are constructed using the results given above. 3 We note that L 14 Appendix F: Mixing angles in the diagonalization of the b, τ, t mass matrices…”

Section: Appendix A: Formalism and Calculational Techniquesmentioning

confidence: 99%

“…Recently a new formalism was proposed which has a unified Higgs structure, i.e., a 144 + 144 multiplets of Higgs [3,4]. It was shown that the above Higgs structure can break SO (10) …”

Section: Introductionmentioning

confidence: 99%

“…2 The Higgs Sector and the Spontaneous Breaking of SO (10) As discussed in [3,4] spontaneous symmetry breaking in the Higgs sector can be generated by considering the superpotential …”

Section: Introductionmentioning

confidence: 99%

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Yukawa couplings and quark and lepton masses in anSO(10)model with a unified Higgs sector

Nath

Syed

2010

Phys. Rev. D

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Section: Tau Neutrino Massmentioning

confidence: 99%

“…(4) are constructed using the results given above. 3 We note that L 14 Appendix F: Mixing angles in the diagonalization of the b, τ, t mass matrices…”

Section: Appendix A: Formalism and Calculational Techniquesmentioning

confidence: 99%

“…Recently a new formalism was proposed which has a unified Higgs structure, i.e., a 144 + 144 multiplets of Higgs [3,4]. It was shown that the above Higgs structure can break SO (10) …”

Section: Introductionmentioning

confidence: 99%

“…2 The Higgs Sector and the Spontaneous Breaking of SO (10) As discussed in [3,4] spontaneous symmetry breaking in the Higgs sector can be generated by considering the superpotential …”

Section: Introductionmentioning

confidence: 99%

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Yukawa couplings and quark and lepton masses in anSO(10)model with a unified Higgs sector

Nath

Syed

2010

Phys. Rev. D

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“…We discuss below the topic listed above in further detail. * Email: nath@neu.edu 1 arXiv:1205.1153v2 [hep-ph] 11 May 2012One step breaking of GUT symmetry: Multiple step breaking requires additional assumptions relating VEVs of different Higgs representations to explain the gauge coupling unification of the electroweak and the strong interactions (for a review see [8]) reducing predictivity, while such an assumption is unnecessary in a single step breaking [6,7]. In SO(10) the simplest combination of Higgs representations that can achieve a single step breaking is 144 + 144.…”

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confidence: 99%

GUT and supersymmetry at the LHC and in dark matter

Nath¹

2012

AIP Conference Proceedings

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Conventional SO(10) models involve more than one scale for a complete breaking of the GUT symmetry requiring further assumptions on the VEVs of the Higgs fields that enter in the breaking to achieve viable models. Recent works where the breaking can be accomplished at one scale are discussed. These include models with just a pair of 144 + 144 of Higgs fields. Further extensions of this idea utilizing 560 + 560 of Higgs representations allow both the breaking at one scale, as well as accomplish a natural doublet-triplet splitting via the missing partner mechanism. More generally, we discuss the connection of high scale models to low energy physics in the context of supergravity grand unification. Here we discuss a natural solution to the little hierarchy problem and also discuss the implications of the LHC data for supersymmetry. It is shown that the LHC data implies that most of the parameter space of supergravity models consistent with the data lie on the Hyperbolic Branch of radiative breaking of the electroweak symmetry and more specifically on the Focal Surface of the Hyperbolic Branch. A discussion is also given of the implications of recent LHC data on the Higgs boson mass for the discovery of supersymmetry and for the search for dark matter.Keywords: GUTs , supersymmetry, Higgs boson, LHC, dark matter. GUTs and SupersymmetryIntoduction: Grand unification [1-3] for the description of particle interactions is desirable for a variety of reasons (For a review see [4]). We discuss some of the recent developments in unified models which are relevant in view of the hunt for new physics at the large hadron collider [5]. Of specific interest is the gauge symmetry based on SO(10) [3] which provides a framework for unifying the SU (3) C × SU (2) L × U (1) Y gauge groups and also for unifying quarks and leptons in one generation in a single 16-plet spinor representation. Additionally, the 16-plet also contains a right-handed singlet state, which is needed to give mass to the neutrino via the seesaw mechanism. Supersymmetric SO(10) models have the added attraction that they predict correctly the unification of gauge couplings, and solve the hierarchy problem by virtue of SUSY. However, SUSY SO(10) models, as usually constructed, have two drawbacks, both related to the symmetry breaking sector. First, there are two different mass scales involved in the breaking of the GUT symmetry, one to reduce the rank and the other to reduce the symmetry all the way to SU (3) C × SU (2) L × U (1) Y . Thus typically three types of Higgs fields are needed: one for rank reduction such as 16 + 16 of 126 + 126 and then a 45, 54 or 210 for breaking the symmetry down to the standard model symmetry, and a 10 plet for electroweak symmetry breaking. Second, the GUT models typically have the so called doublet-triplet problem where one needs an extreme fine tuning to make the Higgs doublets light. These drawbacks can be corrected in a new class of models recently proposed [6,7]. Here we will review first this class of models. We will th...

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Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY SO(10) and HL-LHC implications

Aboubrahim

Nath

Syed

2021

J. High Energ. Phys.

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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 + $$ \overline{126} $$ 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.

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Unified framework for symmetry breaking in SO(10)

Cited by 58 publications

References 49 publications

Yukawa couplings and quark and lepton masses in anSO(10)model with a unified Higgs sector

Yukawa couplings and quark and lepton masses in anSO(10)model with a unified Higgs sector

GUT and supersymmetry at the LHC and in dark matter

Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY SO(10) and HL-LHC implications

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