SUPERSYMMETRIC LEFT–RIGHT MODELS WITH B-L ODD HIGGS DOUBLETS

2011 ◽  
Vol 26 (07n08) ◽  
pp. 1305-1326 ◽  
Author(s):  
DEBASISH BORAH
Keyword(s):  
Symmetry Breaking ◽  
Parity Violation ◽  
Gauge Coupling ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Higgs Doublet ◽  
Single Step ◽  
Seesaw Mechanism ◽  
The Cost ◽  
Exciting Possibility

We study various possible Supersymmetric Left–Right (SUSYLR) models with Higgs doublets carrying B-L charge ±1: with single step symmetry breaking down to the Minimal Supersymmetric Standard Model (MSSM) as well as multistep symmetry breaking. Single step symmetry breaking can be achieved with the minimal field content of just Higgs doublet and bidoublets whereas multistep symmetry breaking can be realized only at the cost of including additional Higgs superfields. However, going beyond the minimal field content comes up with the exciting possibility of TeV scale intermediate symmetry which can have important implications in the ongoing collider experiments. We show that spontaneous parity violation can be achieved naturally in all these models and R-parity is spontaneously broken by the vacuum expectation value of B-L odd Higgs doublets. The tiny neutrino mass can arise from a double seesaw mechanism in the presence of additional singlet or triplet fermions. We show that gauge coupling unification can be achieved in these models with the possibility of TeV scale intermediate symmetry in some specific nonminimal versions.

scholarly journals Minimal scoto-seesaw mechanism with spontaneous CP violation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
D. M. Barreiros ◽  
F. R. Joaquim ◽  
R. Srivastava ◽  
J. W. F. Valle
Keyword(s):  
Dark Matter ◽  
Cp Violation ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Discrete Symmetry ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Seesaw Mechanism ◽  
Cosmological Observations ◽  
Scalar Singlet

Abstract We propose simple scoto-seesaw models to account for dark matter and neutrino masses with spontaneous CP violation. This is achieved with a single horizontal $$ {\mathcal{Z}}_8 $$ Z 8 discrete symmetry, broken to a residual $$ {\mathcal{Z}}_2 $$ Z 2 subgroup responsible for stabilizing dark matter. CP is broken spontaneously via the complex vacuum expectation value of a scalar singlet, inducing leptonic CP-violating effects. We find that the imposed $$ {\mathcal{Z}}_8 $$ Z 8 symmetry pushes the values of the Dirac CP phase and the lightest neutrino mass to ranges already probed by ongoing experiments, so that normal-ordered neutrino masses can be cornered by cosmological observations and neutrinoless double beta decay experiments.

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

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Ufuk Aydemir ◽  
Tanumoy Mandal
Keyword(s):  
Scalar Field ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Gluon Fusion ◽  
Grand Unification ◽  
Gauge Bosons ◽  
The Standard Model ◽  
Last Stage

We investigate the possibility of TeV-scale scalars as low energy remnants arising in the nonsupersymmetric SO(10) grand unification framework where the field content is minimal. We consider a scenario where the SO(10) gauge symmetry is broken into the gauge symmetry of the Standard Model (SM) through multiple stages of symmetry breaking, and a colored and hypercharged scalar χ picks a TeV-scale mass in the process. The last stage of the symmetry breaking occurs at the TeV-scale where the left-right symmetry, that is, SU(2)L⊗SU(2)R⊗U(1)B-L⊗SU(3)C, is broken into that of the SM by a singlet scalar field S of mass MS~1 TeV, which is a component of an SU(2)R-triplet scalar field, acquiring a TeV-scale vacuum expectation value. For the LHC phenomenology, we consider a scenario where S is produced via gluon-gluon fusion through loop interactions with χ and also decays to a pair of SM gauge bosons through χ in the loop. We find that the parameter space is heavily constrained from the latest LHC data. We use a multivariate analysis to estimate the LHC discovery reach of S into the diphoton channel.

scholarly journals Improving fermion mass hierarchy in grand gauge–Higgs unification with localized gauge kinetic terms

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Nobuhito Maru ◽  
Yoshiki Yatagai
Keyword(s):  
Higgs Boson ◽  
Top Quark ◽  
Gauge Coupling ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Boson Mass ◽  
Fermion Mass ◽  
Mass Hierarchy ◽  
Higgs Boson Mass ◽  
Fermion Masses

AbstractGrand gauge–Higgs unification of five dimensional SU(6) gauge theory on an orbifold $$S^1/Z_2$$ S 1 / Z 2 with localized gauge kinetic terms is discussed. The Standard model (SM) fermions on one of the boundaries and some massive bulk fermions coupling to the SM fermions on the boundary are introduced, so that they respect an SU(5) symmetry structure. The SM fermion masses including top quark are reproduced by mild tuning the bulk masses and parameters of the localized gauge kinetic terms. Gauge coupling universality is not guaranteed by the presence of the localized gauge kinetic terms and it severely constrains the Higgs vacuum expectation value. Higgs potential analysis shows that the electroweak symmetry breaking occurs by introducing additional bulk fermions in simplified representations. The localized gauge kinetic terms enhance the magnitude of the compactification scale, which helps Higgs boson mass large. Indeed the observed Higgs boson mass 125 GeV is obtained.

scholarly journals K0-K¯0 Mixing in the Minimal Flavor-Violating Two-Higgs-Doublet Models

2017 ◽  
Vol 2017 ◽  
pp. 1-15 ◽  
Author(s):  
Natthawin Cho ◽  
Xin-Qiang Li ◽  
Fang Su ◽  
Xin Zhang
Keyword(s):  
Mass Difference ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Higgs Doublet ◽  
New Physics ◽  
Point Of View ◽  
Minimal Flavor Violation ◽  
Yukawa Couplings ◽  
Charged Higgs ◽  
Current Experimental Data

The two-Higgs-doublet model (2HDM), as one of the simplest extensions of the Standard Model (SM), is obtained by adding another scalar doublet to the SM and is featured by a pair of charged Higgs, which could affect many low-energy processes. In the “Higgs basis” for a generic 2HDM, only one scalar doublet gets a nonzero vacuum expectation value and, under the criterion of minimal flavor violation, the other one is fixed to be either color-singlet or color-octet, which are named as type III and type C 2HDM, respectively. In this paper, we study the charged-Higgs effects of these two models on the K0-K¯0 mixing, an ideal process to probe New Physics (NP) beyond the SM. Firstly, we perform a complete one-loop computation of the box diagrams relevant to the K0-K¯0 mixing, keeping the mass and momentum of the external strange quark up to the second order. Together with the up-to-date theoretical inputs, we then give a detailed phenomenological analysis, in the cases of both real and complex Yukawa couplings of the charged Higgs to quarks. The parameter spaces allowed by the current experimental data on the mass difference ΔmK and the CP-violating parameter ϵK are obtained and the differences between these two 2HDMs are investigated, which are helpful to distinguish them from each other from a phenomenological point of view.

scholarly journals Magnetic Monopoles in Multivector Boson Theories

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Koichiro Kobayashi ◽  
Nahomi Kan ◽  
Kiyoshi Shiraishi
Keyword(s):  
Sigma Model ◽  
Gauge Coupling ◽  
Higgs Field ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Magnetic Monopoles ◽  
Coupling Constant ◽  
Test Functions ◽  
Boson Theory ◽  
The Common

A classical solution for a magnetic monopole is found in a specific multivector boson theory. We consider the model whose [SU(2)]N+1 gauge group is broken by sigma model fields (à la dimensional deconstruction) and further spontaneously broken by an adjoint scalar (à la triplet Higgs mechanism). In this multivector boson theory, we find the solution for the monopole whose mass is MN~(4πv/g)N+1, where g is the common gauge coupling constant and v is the vacuum expectation value of the triplet Higgs field, by using a variational method with the simplest set of test functions.

Effect of Vacuum Properties on Electroweak Processes – A Theoretical Interpretation of Experiments

2008 ◽  
Vol 63 (5-6) ◽  
pp. 301-317 ◽  
Author(s):  
Harald Stumpf
Keyword(s):  
Symmetry Breaking ◽  
Spinor Field ◽  
Numerical Estimate ◽  
Canonical Quantization ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Theoretical Interpretation ◽  
Probability Interpretation ◽  
Isospin Symmetry Breaking ◽  
Effective Theories

Recently for discharges in fluids induced nuclear transmutations have been observed. It is our hypothesis that these reactions are due to a symmetry breaking of the electroweak vacuum by the experimental arrangement. The treatment of this hypothesis is based on the assumption that electroweak bosons, leptons and quarks possess a substructure of elementary fermionic constituents. The dynamical law of these fermionic constituents is given by a relativistically invariant nonlinear spinor field equation with local interaction, canonical quantization, selfregularization and probability interpretation. Phenomenological quantities of electroweak processes follow from the derivation of corresponding effective theories obtained by algebraic weak mapping theorems where the latter theories depend on the spinor field propagator, i. e. a vacuum expectation value. This propagator and its equation are studied for conserved and for broken discrete symmetries. For combined CP- and isospin symmetry breaking it is shown that the propagator corresponds to the experimental arrangements under consideration. The modifications of the effective electroweak theory due to this modified propagator are discussed. Based on these results a mechanism is sketched which offers a qualitative interpretation of the appearance of induced nuclear transmutations. A numerical estimate of electron capture is given.

scholarly journals Exploring multi-Higgs models with softly broken large discrete symmetry groups

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Ivo de Medeiros Varzielas ◽  
Igor P. Ivanov ◽  
Miguel Levy
Keyword(s):  
General Procedure ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Discrete Symmetry ◽  
Higgs Doublet ◽  
Structural Features ◽  
Symmetry Groups ◽  
Symmetric Model ◽  
Exact Symmetry ◽  
Symmetric Vacuum

AbstractWe develop methods to study the scalar sector of multi-Higgs models with large discrete symmetry groups that are softly broken. While in the exact symmetry limit, the model has very few parameters and can be studied analytically, proliferation of quadratic couplings in the most general softly broken case makes the analysis cumbersome. We identify two sets of soft breaking terms which play different roles: those which preserve the symmetric vacuum expectation value alignment, and the remaining terms which shift it. Focusing on alignment preserving terms, we check which structural features of the symmetric parent model are conserved and which are modified. We find remarkable examples of structural features which are inherited from the parent symmetric model and which persist even when no exact symmetry is left. The general procedure is illustrated with the example of the three-Higgs-doublet model with the softly broken symmetry group $$\Sigma (36)$$ Σ ( 36 ) .

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

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Nobuchika Okada ◽  
Digesh Raut ◽  
Qaisar Shafi
Keyword(s):  
Dark Matter ◽  
Symmetry Breaking ◽  
Direct Detection ◽  
Gauge Coupling ◽  
Higgs Field ◽  
Proton Decay ◽  
Grand Unified Theory ◽  
Seesaw Mechanism ◽  
Higgs Portal ◽  
Natural Scale

AbstractWe propose a simple non-supersymmetric grand unified theory (GUT) based on the gauge group $$SO(10) \times U(1)_\psi $$SO(10)×U(1)ψ. The model includes 3 generations of fermions in $$\mathbf{16}$$16 ($$+1$$+1), $$\mathbf{10}$$10 ($$-2$$-2) and $$\mathbf{1}$$1 ($$+4$$+4) representations. The $$\mathbf{16}$$16-plets contain Standard Model (SM) fermions plus right-handed neutrinos, and the $$\mathbf{10}$$10-plet and the singlet fermions are introduced to make the model anomaly-free. Gauge coupling unification at $$M_{GUT} \simeq 5 \times 10^{15}{-}10^{16}$$MGUT≃5×1015-1016 GeV is achieved by including an intermediate Pati–Salam breaking at $$M_{I} \simeq 10^{12}{-}10^{11}$$MI≃1012-1011 GeV, which is a natural scale for the seesaw mechanism. For $$M_{I} \simeq 10^{12}{-}10^{11}$$MI≃1012-1011, proton decay will be tested by the Hyper-Kamiokande experiment. The extra fermions acquire their masses from $$U(1)_\psi $$U(1)ψ symmetry breaking, and a $$U(1)_\psi $$U(1)ψ Higgs field drives a successful inflection-point inflation with a low Hubble parameter during inflation, $$H_{inf} \ll M_{I}$$Hinf≪MI. Hence, cosmologically dangerous monopoles produced from SO(10) and PS breakings are diluted away. This is the first SO(10) model we are aware of in which relatively light intermediate mass ($$\sim 10^{10}{-}10^{12}$$∼1010-1012 GeV) primordial monopoles can be adequately suppressed. The reheating temperature after inflation can be high enough for successful leptogenesis. With the Higgs field contents of our model, a $$\mathbf{Z}_2$$Z2 symmetry remains unbroken after GUT symmetry breaking, and the lightest mass eigenstate among linear combinations of the $$\mathbf{10}$$10-plet and the singlet fermions serves as a Higgs-portal dark matter (DM). We identify the parameter regions to reproduce the observed DM relic density while satisfying the current constraint from the direct DM detection experiments. The present allowed region will be fully covered by the future direct detection experiments such as LUX-ZEPLIN DM experiment. In the presence of the extra fermions, the SM Higgs potential is stabilized up to $$M_{I}$$MI.

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