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Georgi, Wolfgang; Hohl, Philipp

doi:10.3139/9783446444072.025

Cited by 62 publications

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“…The apparent approximate unification of the three gauge couplings in the SM remains an intriguing hint of a unifying origin of gauge interactions around a high energy scale of 10 16 GeV. One such theory is based on the simple Lie group SOð10Þ [4,5], and today remains as one of the preferred candidates for a unified model. There are however a lot of degrees of freedom while building an SOð10Þ based GUT due to its multiple possible breaking patterns to the SM group and the broad range of representations to choose from.…”

Section: Introductionmentioning

confidence: 99%

Surveying the SO(10) model landscape: The left-right symmetric case

Deppisch¹,

Gonzalo²,

Gráf³

2017

Phys. Rev. D

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Grand unified theories (GUTs) are a very well motivated extensions of the Standard Model (SM), but the landscape of models and possibilities is overwhelming, and different patterns can lead to rather distinct phenomenologies. In this work we present a way to automatize the model building process, by considering a top to bottom approach that constructs viable and sensible theories from a small and controllable set of inputs at the high scale. By providing a GUT scale symmetry group and the field content, possible symmetry breaking paths are generated and checked for consistency, ensuring anomaly cancellation, SM embedding and gauge coupling unification. We emphasize the usefulness of this approach for the particular case of a nonsupersymmetric SO(10) model with an intermediate left-right symmetry, and we analyze how low-energy observables such as proton decay and lepton flavor violation might affect the generated model landscape.

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Section: Introductionmentioning

confidence: 99%

Surveying the SO(10) model landscape: The left-right symmetric case

Deppisch¹,

Gonzalo²,

Gráf³

2017

Phys. Rev. D

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Section: Introductionmentioning

confidence: 99%

“…It is non-minimal, but it would be an attractive extension because the SO(10) GUT explains the anomalyfree conditions in the SM. Furthermore, all leptons and quarks, including the right-handed neutrinos, in one generation may belong to one 16-dimensional representation in the minimal setup [3].On the other hand, the GUTs face several problems, especially because of the experimental constraints. One stringent constraint is from nonobservation of proton decay [1,4].…”

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confidence: 99%

Flavor violating Z' from SO(10) SUSY GUT in High-Scale SUSY

Omura¹

2016

Proceedings of Flavor Physics &Amp; CP Violation 2015 — PoS(FPCP2015)

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We propose an SO(10) supersymmetric grand unified theory (SUSY GUT), where the SO(10) gauge symmetry breaks down to SU (3) c × SU (2) L × U (1) Y × U (1) X at the GUT scale and U (1) X is radiatively broken at the SUSY-braking scale. In order to achieve the observed Higgs mass around 126 GeV and also to satisfy constraints on flavor-and/or CP-violating processes, we assume that the SUSY-breaking scale is O(100) TeV, so that the U (1) X breaking scale is also O(100) TeV. One big issue in the SO(10) GUTs is how to realize realistic Yukawa couplings. In our model, not only 16-dimensional but also 10-dimensional matter fields are introduced to predict the observed fermion masses and mixings. The Standard-Model quarks and leptons are linear combinations of the 16-and 10-dimensional fields so that the U (1) X gauge interaction may be flavor-violating. We investigate the current constraints on the flavor-violating Z ′ interaction from the flavor physics and discuss prospects for future experiments. 1 I. INTRODUCTIONThe Grand Unified Theories (GUTs) are longstanding hypotheses, and continue to fascinate us because of the excellent explanation of mysteries in the Standard Model (SM). The GUTs unify not only the gauge groups but also quarks and leptons, and reveal the origin of the structure of the SM, such as the hypercharge assignment for the SM particles.The gauge groups in the SM areThe minimal candidate for the unified gauge group is SU(5), which was originally proposed by Georgi and Glashow [1]. There, quarks and leptons belong to 10-and 5-dimensional representations in SU (5), and the SM Higgs doublet is embedded into 5, introducing additional colored Higgs particle. One big issue is the unification of the SM gauge coupling constants, and it could be realized in the supersymmetric (SUSY) extension. It is well-known that the minimal SU(5) SUSY GUT realizes the gauge coupling unification around 2 × 10 16 GeV, if SUSY particle masses are around 1 TeV [2].Another candidate for the unified gauge group would be SO(10). It is non-minimal, but it would be an attractive extension because the SO(10) GUT explains the anomalyfree conditions in the SM. Furthermore, all leptons and quarks, including the right-handed neutrinos, in one generation may belong to one 16-dimensional representation in the minimal setup [3].On the other hand, the GUTs face several problems, especially because of the experimental constraints. One stringent constraint is from nonobservation of proton decay [1,4]. While the GUT scale in the SUSY GUT may be high enough to suppress the proton decay induced by the so-called X-boson exchange, the dimension-five operator generated by the colored Higgs exchange is severely constrained. Another stringent constraint is from the observed fermion masses and mixings. The SU(5) GUT predicts a common mass ratio of down-type quark and charged lepton in each generation. Furthermore, in the SO(10) GUT, the up-type, down-type quarks, and charged lepton in each generation would have common mass ratios if the all mat...

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“…This mechanism is very naturally realized in SO(10) grand unified theories (GUTs) [10,11] where the right-handed neutrino is included as the SM singlet component of the 16 of SO (10) and incorporates a full generation of matter fields in a single representation. SO (10) contains several subgroups, G int which contain the SM gauge group as a a subgroup and it is well known that the symmetry breaking scale, M int , of G int can be determined by requiring that the gauge couplings unify at a single scale M GUT > M int [11][12][13][14][15].…”

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confidence: 99%

“…For definiteness, we consider here a SM singlet dark matter candidate originating from a single 16 of SO (10) as in model SA 3221 in Ref. [15] based on the intermediate gauge group…”

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confidence: 99%

Vacuum stability and radiative electroweak symmetry breaking in an SO(10) dark matter model

et al. 2016

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Vacuum stability in the Standard Model is problematic as the Higgs quartic self-coupling runs negative at a renormalization scale of about 10 10 GeV. We consider a non-supersymmetric SO(10) grand unification model for which gauge coupling unification is made possible through an intermediate scale gauge group, Gint = SU(3)C ⊗ SU(2)L ⊗ SU(2)R ⊗ U(1)B−L. Gint 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 Z2 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 low energy 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 (1.35-2 TeV) can be probed in future direct detection experiments.Introduction.-With the discovery of the Higgs boson at both the ATLAS [1] and CMS [2] detectors, the Standard Model (SM) of particle physics appears to be very well established. However, as yet, there is no verified explanation for neutrino masses, and the nature of dark matter (DM) remains elusive. Both signal the need for beyond the SM physics. The experimental value of the Higgs mass, m h = 125.09 ± 0.24 GeV [3], also points to new physics at some higher energy scale. The Higgs quartic self-coupling, λ, runs toward negative values at high energy. The lower limit on m h to ensure the posititivity of λ out to the Planck scale is 129.4 ± 1.8 GeV [4] which appears to be violated. DM is often introduced in supersymmetric extensions of the SM with R-parity [5]. In supersymmetric models, the problem of vacuum stability associated with the Higgs quartic coupling is avoided as the tree level coupling is determined by a combination of the gauge couplings and is positive definite. In addition, supersymmetric models offer a mechanism for triggering electroweak symmetry breaking via radiative effects [6].

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Literatur

Cited by 62 publications

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Surveying the SO(10) model landscape: The left-right symmetric case

Surveying the SO(10) model landscape: The left-right symmetric case

Flavor violating Z' from SO(10) SUSY GUT in High-Scale SUSY

Vacuum stability and radiative electroweak symmetry breaking in an SO(10) dark matter model

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