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An extension of the gauge group $SU(2)_L\otimes U(1)_Y$ of the standard model to the symmetry group $SU(4)_L\otimes U(1)_X$ (3-4-1 for short) is presented. The model does not contain exotic electric charges and anomaly cancellation is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Luis A. Sanchez , Luis A. Wills-Toro , Jorge I. Zuluaga

One of the most important and unanswered problems in particle physics is the origin of the three generations of quarks and leptons. The standard Model does not provide any hint regarding its sequential charge assignments, which remain a…

High Energy Physics - Phenomenology · Physics 2024-04-10 Claudio Corianò , Dario Melle

We report the most general classification of 3-3-1 models with $\beta =\sqrt{3}$. We found several solutions where anomaly cancellation occurs among fermions of different families. These solutions are particularly interesting as they…

High Energy Physics - Phenomenology · Physics 2024-01-24 Eduard Suarez , Richard H. Benavides , Yithsbey Giraldo , William A. Ponce , Eduardo Rojas

We present a new model based on the SU(3)xSU(2)xU(1) symmetry, in which there is a new consistent set of chiral fermion fields that renders the model free from anomalies. The new fermions do not share the usual family structure of the…

High Energy Physics - Phenomenology · Physics 2013-07-23 Alexandre Alves , E. Ramirez Barreto , D. A. Camargo , A. G. Dias

We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any…

High Energy Physics - Phenomenology · Physics 2015-06-25 Puneet Batra , Bogdan A. Dobrescu , David Spivak

We explore the recently proposed gauge symmetry \( SU(3)_C \otimes SU(3)_L \otimes SU(3)_R \otimes U(1)_X \), which naturally embeds both the Left-Right symmetric model and the 3-3-1 model as subgroups. Within this unified framework, we…

High Energy Physics - Phenomenology · Physics 2025-06-23 Richard H. Benavides , Yithsbey Giraldo , Eduardo Rojas

Models based on the extended $SU(3)_{C}\times SU(3)_{L}\times U(1)_{X}$ (331) gauge group usually follow a common pattern: two families of left-handed quarks are placed in anti-triplet representations of the $SU(3)_{L}$ group; the remaining…

High Energy Physics - Phenomenology · Physics 2016-08-11 Renato M. Fonseca , Martin Hirsch

In the context of the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$, we look for possible four family models, where all the particles carry ordinary electric charges. Thirteen different anomaly-free fermion structures emerge, out…

High Energy Physics - Phenomenology · Physics 2014-11-21 Richard H. Benavides , William A. Ponce , Yithsbey Giraldo

A new non-universal abelian extension $\mathrm{G_{SM}}\otimes \mathrm{U(1)}_{X}$ to the Standard Model free from chiral anomalies is presented. The new $X$ charges distinguish among generations so as the fermion mass matrices get…

High Energy Physics - Phenomenology · Physics 2017-10-24 S. F. Mantilla , R. Martinez

We give a detailed description of the model construction procedures about our new approach to the family structure of the standard model. SM-like chiral fermion spectra, largely "derivable" from the gauge anomaly constraints, are formulated…

High Energy Physics - Phenomenology · Physics 2009-10-28 Otto C. W. Kong

A detailed and general study of the fermionic structure of the 331 models with \beta arbitrary is carried out based on the criterion of cancellation of anomalies. We consider models with an arbitrary number of lepton and quark generations,…

High Energy Physics - Phenomenology · Physics 2011-07-19 Rodolfo A. Diaz , R. Martinez , F. Ochoa

We propose a non-universal U(1)'_F symmetry combined with the Minimal Supersymmetric Standard Model. All anomaly cancellation conditions are satisfied without exotic fields other than three right-handed neutrinos. Because our model allows…

High Energy Physics - Phenomenology · Physics 2014-11-21 Mu-Chun Chen , Jinrui Huang

We consider the Standard Model (SM) with the addition of a $\mathrm{U(1)^\prime}$ gauge symmetry and a complete fourth family of quarks and leptons which are vector-like with respect to the full $\mathrm{SU(3)_C}\times \mathrm{SU(2)_L}…

High Energy Physics - Phenomenology · Physics 2019-09-25 Junichiro Kawamura , Stuart Raby , Andreas Trautner

We explore the anomaly-cancellation constraints on simplified dark matter (DM) models with an extra U(1)$^\prime$ gauge boson $Z'$. We show that, if the Standard Model (SM) fermions are supplemented by a single DM fermion $\chi$ that is a…

High Energy Physics - Phenomenology · Physics 2017-09-13 John Ellis , Malcolm Fairbairn , Patrick Tunney

In this work we explore the possibility to fix the number of new non-sequential chiral-type generations of fermions that could be added to the standard model by combining the condition that arise from the anomalies cancellation with the…

High Energy Physics - Phenomenology · Physics 2020-08-11 Elmer Ramirez Barreto , David Romero Abad

A phenomenological analysis of the three-family model based on the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ with exotic charged leptons, is carried out. Instead of using the minimal scalar sector able to break the symmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan C. Salazar , William A. Ponce , Diego A. Gutiérrez

We review in a systematic way how anomaly free $SU(3)_c\otimes SU(3)_L\otimes U(1)_x$ models without exotic electric charges can be constructed, using as basis closed sets of fermions which includes each one the particles and antiparticles…

High Energy Physics - Phenomenology · Physics 2022-09-28 Richard H. Benavides , Yithsbey Giraldo , Luis Muñoz , William A. Ponce , Eduardo Rojas

We propose a new non-universal $U(1)'$ extension of the standard model with the addition of three exotic quark singlets, two scalar singlets and one additional scalar doublet. We obtain family dependent couplings with a new $Z'$ boson in…

High Energy Physics - Phenomenology · Physics 2014-03-24 R. Martinez , J. Nisperuza , F. Ochoa , J. P. Rubio

We explore the constraints imposed by the cancellation of triangle anomalies on models in which the flavour anomalies reported by LHCb and other experiments are due to an extra U(1)' gauge boson Z'. We assume universal and rational U(1)'…

High Energy Physics - Phenomenology · Physics 2018-04-18 John Ellis , Malcolm Fairbairn , Patrick Tunney

We carry a systematic study of possible extensions of the standard model based on the gauge group SU(3)_c X SU(4)_L X U(1)_X. We consider both models with particles with exotic electric charges and models which do not contain exotic…

High Energy Physics - Phenomenology · Physics 2008-11-26 William A. Ponce , Luis A. Sanchez
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