Spontaneous CP-violation in the Simplest Little Higgs Model and its Future Collider Tests: the Scalar Sector

Abstract

We proposed the spontaneous CP-violation in the Simplest Little Higgs model. In this model, the pseudoscalar field can acquire a nonzero vacuum expected value. It leads to a mixing between the two scalars with different CP-charge, which means spontaneous CP-violation happens. It is also a connection between composite Higgs mechanism and CP-violation. Facing the experimental constraints, the model is still alive for both scenarios in which the extra scalar appears below or around the electro-weak scale. We also discussed the future collider tests on CP-violation in the scalar sector through measuring $h_{2}ZZ$ and $h_1{h}_2{Z}^{\prime }$ vertices (see the definitions of the particles in the text) which provides new motivations on future $e^{+}{e}^{-}$ and $pp$ colliders. It also shows the importance of the vector-vector-scalar- and vector-scalar-scalar-type vertices to discover CP-violation effects in the scalar sector.

31 pages, 3 figures, almost everywhere refined: abstract, introduction, and conclusions updated; the improved formalism added; details on quantum corrections added; experimental constaints on f and EDM added; more discussions about future tests updated in which the conclusions changed comparing with the previous version; references updated; more typos and errors corrected

References in corpus (26)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Parton distributions for the LHC
• Big-Bang Nucleosynthesis
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Search for Neutral MSSM Higgs Bosons at LEP
• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Beyond the Minimal Composite Higgs Model
• Search for new high-mass phenomena in the dilepton final state using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Constraining the top-Higgs sector of the Standard Model Effective Field Theory
• Electroweak precision observables and Higgs-boson signal strengths in the Standard Model and beyond: present and future
• Search for heavy resonances decaying into $WW$ in the $e\nu \mu \nu$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Determining the CP properties of the Higgs boson
• Determining the CP parity of Higgs bosons at the LHC in their tau decay channels
• Confronting Higgcision with Electric Dipole Moments
• Exotic decays of the 125 GeV Higgs boson at future $e^{+}{e}^{-}$ lepton colliders
• Can the 125 GeV Higgs be the Little Higgs?
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data
• CP violation and the CKM matrix
• Light pseudoscalar eta and H->eta eta decay in the simplest little Higgs mode
• Lepton flavor violation in the Simplest Little Higgs model
• Production and decays of the light pseudoscalar boson $\eta$ at the LHC in the simplest little Higgs model
• Testing CP-Violation in the Scalar Sector at Future $e^{+}{e}^{-}$ Colliders
• On the $ZH\eta$ vertex in the simplest Little Higgs Model
• Spontaneous CP Violation and Light Particles in The Littlest Higgs

Cited by in corpus (7)

• Two-Higgs-Doublet Model with Soft CP-violation Confronting Electric Dipole Moments and Colliders
• Lepton flavor violation within the Simplest Little Higgs model
• Phenomenology of A Little Higgs Pseudo-Axion
• Simplest Little Higgs Revisited: Hidden Mass Relation, Unitarity and Naturalness
• A two-generational $\mathrm{SU}(7)$ model with extended weak sector: mass hierarchies, mixings, and the flavor non-universality
• Testing CP-violation in a Heavy Higgs Sector at CLIC
• Spontaneous CP-violation in the Simplest Little Higgs Model