A Clifford Algebra Approach to Chiral Symmetry Breaking and Fermion Mass Hierarchies
arXiv:1709.09294 · doi:10.1142/S0217751X17501597
Abstract
We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford algebra, while ternary Clifford algebra-related flavor projection operators control allowable flavor-mixing interactions. There are three composite electroweak Higgs bosons resulted from top quark, tau neutrino, and tau lepton condensations. Each of the three condensations gives rise to masses of four different fermions. The fermion mass hierarchies within these three groups are determined by four-fermion condensations, which break two global chiral symmetries. The four-fermion condensations induce axion-like pseudo-Nambu-Goldstone bosons and can be dark matter candidates. In addition to the 125 GeV Higgs boson observed at the Large Hadron Collider, we anticipate detection of tau neutrino composite Higgs boson via the charm quark decay channel.
arXiv comment22 pages
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
- Evidence for oscillation of atmospheric neutrinos
- Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
- First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
- Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
- Tri-Bimaximal Mixing and the Neutrino Oscillation Data
- The Muon g-2
- Discrete Flavor Symmetries and Models of Neutrino Mixing
- Asymmetries in the CMB anisotropy field
- The significance of the largest scale CMB fluctuations in WMAP
- The axis of evil
- Is the low-l microwave background cosmic?
- n-ary algebras: a review with applications
- Top quark condensation
- Hypersymmetry: a Z_3-graded generalization of supersymmetry
- A geometric basis for the standard-model gauge group
- Spin Gauge Theory of Gravity in Clifford Space: A Realization of Kaluza-Klein Theory in 4-Dimensional Spacetime
- Dynamical Electroweak Symmetry Breaking by a Neutrino Condensate
- Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space
- Clifford Space as the Arena for Physics
- Deriving the mass of particles from Extended Theories of Gravity in LHC era
- Top-quark and neutrino composite Higgs bosons
- On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb-Ramond Fields
- Yang-Mills Interactions and Gravity in Terms of Clifford Algebra
- Is the Higgs Boson Composed of Neutrinos?