Truly Minimal Left-Right Model of Quark and Lepton Masses (original) (raw)
Supersymmetric left-right models with gauge coupling unification and fermion mass universality
Physical Review D, 2011
We explore the unification of gauge couplings and fermion masses in two different types of supersymmetric left-right models, one with Higgs triplets and the other with both Higgs triplets as well as bitriplets. The minimal versions of these models do not give rise to the desired unification and some extra fields have to be added. After such a modification, it is possible in one model to get gauged B − L symmetry to be unbroken down to TeV scale. We also identify the parameter space at the electroweak scale which gives rise to fermion mass unification at a high scale M G . Type I seesaw emerges as the natural explanation of the small neutrino masses in both the models.
STUDY OF THE SU(3) c ⊗SU(3) L ⊗U(1) X MODEL WITH THE MINIMAL SCALAR SECTOR
International Journal of Modern Physics A, 2006
A study of the three-family local gauge group SU (3)c⊗ SU (3)L⊗ U (1)X with right-handed neutrinos is carried out. We use the minimal scalar sector able to break the symmetry in a proper way and produce, at the same time, masses for the fermion fields. We embed the structure into a simple gauge group and, by using experimental results from the CERN LEP, SLAC linear collider and atomic parity violation data, we also constrain relevant parameters for the new neutral and charged currents. We discuss the mass spectrum for the gauge boson sector and for the spin 1/2 particles. With the use of discrete symmetries and the introduction of extra scalar fields, a consistent mass spectrum could be constructed.
The European Physical Journal C
In this work, we propose minimal realizations for generating Dirac neutrino masses in the context of a right-handed abelian gauge extension of the Standard Model. Utilizing only U(1)_R$$U(1)R symmetry, we address and analyze the possibilities of Dirac neutrino mass generation via (a) tree-level seesaw and (b) radiative correction at the one-loop level. One of the presented radiative models implements the attractive scotogenic model that links neutrino mass with Dark Matter (DM), where the stability of the DM is guaranteed from a residual discrete symmetry emerging from U(1)_R$$U(1)R. Since only the right-handed fermions carry non-zero charges under the U(1)_R$$U(1)R, this framework leads to sizable and distinctive Left–Right asymmetry as well as Forward–Backward asymmetry discriminating from U(1)_{B-L}$$U(1)B-L models and can be tested at the colliders. We analyze the current experimental bounds and present the discovery reach limits for the new heavy gauge boson Z^{\prime...
Phenomenology of the SU(3)_c X SU(3)_L X U(1)_X model with right-handed neutrinos
2004
A phenomenological analysis of the three-family local gauge group SU(3)cotimesSU(3)LotimesU(1)XSU(3)_c\otimes SU(3)_L\otimes U(1)_XSU(3)cotimesSU(3)LotimesU(1)X with right-handed neutrinos is carried out. Instead of using the minimal scalar sector able to break the symmetry in a proper way, we introduce an alternative set of four Higgs scalar triplets, which combined with an anomaly-free discrete symmetry, produces a quark mass spectrum without hierarchies in the Yukawa coupling contants. We also embed the structure into a simple gauge group and show some conditions to achieve a low energy gauge coupling unification, avoiding possible conflict with proton decay bounds. By using experimental results from the CERN-LEP, SLAC linear collider and atomic parity violation data, we update constraints on several parameters of the model.
The European Physical Journal C, 2006
A phenomenological analysis of the three-family model based on the local gauge group SU (3)c ⊗ SU (3)L ⊗U (1)X with right-handed neutrinos, is carried out. Instead of using the minimal scalar sector able to break the symmetry in a proper way, we introduce an alternative set of four Higgs scalar triplets, which combined with an anomaly-free discrete symmetry, produces a quark mass spectrum without hierarchies in the Yukawa coupling constants. We also embed the structure into a simple gauge group and show some conditions to achieve a low energy gauge coupling unification, avoiding possible conflict with proton decay bounds. By using experimental results from the CERN-LEP, SLAC linear collider, and atomic parity violation data, we update constraints on several parameters of the model. PACS. 12.60.Cn Extensions of the electroweak gauge sector -12.15.Ff Quark and lepton masses and mixings -12.15.Mm Neutral currents
Unified Lepton-Hadron Symmetry and a Gauge Theory of the Basic Interactions
Physical Review D, 1973
An attempt is made to unify the fundamental hadrons and leptons into a common irreducible representation I of the same symmetry group G and to generate a gauge theory of strong, electromagnetic, and weak interactions. Based on certain constraints from the hadronic side, it is proposed that the group 6 is SU(4') x SU(4"), which contains a Han-Nambu-type SU(3') x SU{3")group for the hadronic symmetry, and that the representation I' is (4, 4*). There exist four possible choices for the lepton number L and accordingly four possible assignments of the hadrons and leptons within the (4, 4*). Two of these require nine Han-Nambu-type quarks, three "charmed" quarks, and the observed quartet of leptons. The other two also require the nine Han-Nambu quarks, plus heavy leptons in addition to observed leptons and only one or no "charmed" quark. One of the above four assignments is found to be suitable to generate a gauge theory of the weak, electromagnetic, and SU(3") gluonlike strong interactions from a selection of the gauges permitted by the model. The resulting gauge symmetry is SU(2')z x U(1) x SU(3")z,+z. The scheme of all three interactions is found to be free from Adler-Bell-Jackiw anomalies. The normal strong interactions arise effectively as a consequence of the strong gauges SU{3")z, z. Masses for the gauge bosons and fermions are generated suitably by a set of 14 complex Higgs fields. The neutral neutrino and AS =0 hadron currents have essentially the same strength in the present model as in other SU(2)L, x U(1) theories. The mixing of strongand weak-gauge bosons (a necessary feature of the model) leads to parity-violating nonleptonic amplitudes, which may be observable depending upon the strength of SU(3") symmetry breaking. The familiar hadron symmetries such as SU{3') and chiral SU(3')& xSU(3')z are broken only by quark mass terms and by the electromagnetic and weak interactions, not by the strong interactions. The difficulties associated with generating gauge interactions in the remaining three assignments are discussed in Appendix A. Certain remarks are made on the question of proton and quark stability in these three schemes,
New Algebraic Unified Theory of Leptons and Quarks
Progress of Theoretical Physics, 1987
A new algebraic theory is developed to describe the characteristic features of leptons and quarks as a whole. A pair of master fields with up and down 'weak-isospin is introduced and postulated to obey the generalized Dirac equations with coefficient matrices which belong to an algebra, a triplet algebra, consisting of triple-direct-products of Dirac's I-matrices. The triplet algebra is decomposed into three subalgebras, in a non-intersecting manner, which describe respectively the external Lorentz symmetry, the internal colour symmetry and the degrees of freedom for fourfold-family-replication of fundamental fermionic particle modes. The master fields belonging to a 64 dimensional multi-spinor space form non-irreducible representations of the Lorentz group and represent fourfold-replications of families of spin 1/2 particles, each one of which accomodates triply-degenerate quark modes and singlet leptonic modes. Canonical quantization of master fields leads naturally to the renormalizable unified field theories of fundamental fermions with universal gauge interactions of local symmetries having the route of descent from SUc(4) x SUL(2) x SUR(2) to SUc(3) x SUL(2) x Uy(l).