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Peering in from the outside, $\mathbb{A} := \mathbb{R}\otimes\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$ looks to be an ideal mathematical structure for particle physics. It is 32 $\mathbb{C}$-dimensional: exactly the size of one full…

High Energy Physics - Phenomenology · Physics 2022-09-28 N. Furey , M. J. Hughes

We investigate an extension of the Standard Model (SM) incorporating a gauge $ U(1) $ horizontal symmetry that is free of anomalies. This extension introduces four additional un-Higgsed scalar doublets that do not develop vacuum expectation…

High Energy Physics - Phenomenology · Physics 2024-08-06 We-Fu Chang

A descriptive summary is given of the results to-date from the framed standard model (FSM) which: (i) assigns geometric meaning to the Higgs field and to fermion generations, hence offering an explanation for the observed mass and mixing…

High Energy Physics - Phenomenology · Physics 2019-01-30 José BORDES , CHAN Hong-Mo , TSOU Sheung Tsun

In spite of its many successes, the Standard Model makes many empirical assumptions in the Higgs and fermion sectors for which a deeper theoretical basis is sought. Starting from the usual gauge symmetry $u(1) \times su(2) \times su(3)$…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. M. Chan , S. T. Tsou

We propose a viable theory based on the $SU(3)_C\times SU(3)_L\times U(1)_X$ gauge group supplemented by the $S_4$ discrete group together with other various symmetries, whose spontaneous breaking gives rise to the current SM fermion mass…

High Energy Physics - Phenomenology · Physics 2020-03-02 A. E. Cárcamo Hernández , Nicolás A. Pérez-Julve , Yocelyne Hidalgo Velásquez

A nonuniversal abelian extension $\mathrm{U(1)}_{X}$ free from chiral anomalies is introduced into the Standard Model (SM), in order to evaluate its suitability in addressing the fermion mass hierarchy (FMH) by using seesaw mechanisms…

High Energy Physics - Phenomenology · Physics 2018-08-08 Carlos E. Díaz , S. F Mantilla , R. Martinez

We discuss a test of the Standard Model fermion mass origin in models of dynamical electroweak symmetry breaking. The couplings of composite pseudoscalar resonances to top quarks allow to distinguish high-scale Extended-Technicolor-type…

High Energy Physics - Phenomenology · Physics 2016-11-02 Tommi Alanne , Diogo Buarque Franzosi , Mads T. Frandsen

Much heavier sfermions of the first-two generations than the other superparticles provide a natural explanation for the flavor and CP problems in the supersymmetric standard model (SUSY SM). However, the heavy sfermions may drive the mass…

High Energy Physics - Phenomenology · Physics 2009-09-29 Junji Hisano , Kiichi Kurosawa , Yasunori Nomura

Apart from the qualitative features described in \cite{chm}, the renormalization group equation derived for the rotation of the fermion mass matrices are amenable to quantitative study. The equation depends on a coupling and a fudge factor…

High Energy Physics - Phenomenology · Physics 2015-08-19 HM Chan , ST Tsou

The observed Standard Model (SM) quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa (CKM) mixing pattern are described in an ${\rm SU}(8)$ theory through its realistic symmetry breaking pattern with three intermediate stages,…

High Energy Physics - Phenomenology · Physics 2025-01-06 Ning Chen , Ying-nan Mao , Zhaolong Teng

The fermion generation puzzle has survived into this century as one of the great mysteries in particle physics. We consider here a possible solution within the Standard Model framework based on a nonabelian generalization of…

High Energy Physics - Theory · Physics 2016-12-21 HM Chan

We propose a minimal, ultraviolet-complete, and renormalizable extension of the Standard Model, in which the three generations of ordinary fermions are distinguished by family-dependent hypercharges, while three right-handed neutrinos are…

High Energy Physics - Phenomenology · Physics 2025-11-18 Duong Van Loi , A. E. Cárcamo Hernández , Van Que Tran , N. T. Duy

We suggest that the Standard Model can be viewed as the magnetic dual of a gauge theory featuring only fermionic matter content. We show this by first introducing a Pati-Salam like extension of the Standard Model and then relating it to a…

High Energy Physics - Phenomenology · Physics 2011-08-11 Francesco Sannino

We investigate the experimentally allowed parameter space of an extension of the standard model (SM3) by one additional family of fermions. Therefore we extend our previous study of the CKM like mixing constraints of a fourth generation of…

High Energy Physics - Phenomenology · Physics 2010-12-13 Otto Eberhardt , Alexander Lenz , Jürgen Rohrwild

The standard model (SM) is viewed as a variation on the Yang-Mills theory with gauge symmetry $u(1) \times su(2) \times su(3)$, in which the flavour symmetry is framed and to which 3 generations of quarks and leptons are appended as inputs…

High Energy Physics - Phenomenology · Physics 2022-01-31 HM Chan , ST Tsou

We propose a two-component dark matter (DM) scenario by extending the Standard Model with two additional $SU(2)_L$ doublets, one scalar, and another fermion. To ensure the stability of the DM components, we impose a global $Z_2 \times…

High Energy Physics - Phenomenology · Physics 2025-09-12 Mariana Frank , Purusottam Ghosh , Chayan Majumdar , Supriya Senapati

The three-dimensional complexified exteriour bundle $C \otimes \Lambda(R^3)$ is proposed as a geometric interpretation of electroweak doublets of Dirac fermions. The Dirac equation on this bundle allows a staggered discretization on a…

General Physics · Physics 2012-11-09 I. Schmelzer

The Standard Model has three generations of fermions and although it does not contain any explicit reason for this, the existence of additional generations is now very constrained by experiment. Present measurements are saturating…

High Energy Physics - Phenomenology · Physics 2014-12-17 Alfredo Aranda , Jose A. R. Cembranos

An extension of the Standard Model is presented that leads to the possible existence of new gauge bosons with masses in the range of a few TeV. Due to the fact that their couplings to Standard Model fermions are strongly suppressed, it is…

High Energy Physics - Phenomenology · Physics 2018-10-31 Carlos Alvarado , Alfredo Aranda

We propose a supersymmetric technicolor model in which the electroweak symmetry breaking is communicated to the quarks and leptons by technicolored $SU(2)_W$-singlet scalars. When the technifermions condense, the quarks and leptons of the…

High Energy Physics - Phenomenology · Physics 2008-12-22 Bogdan A. Dobrescu