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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

A simple extension of the Standard Model (SM), based on the gauge group $SU(3)_C\otimes SU(3)_L\otimes U(1)_Y$ with $Y$ being the hypercharge, is considered. We show that, by imposing an approximate global $SU(2)_L\times SU(2)_R$ custodial…

High Energy Physics - Phenomenology · Physics 2016-03-30 Le Tho Hue , Le Duc Ninh

It now appears phenomenologically that the third family of fundamental fermions may be essentially different fron the first two. Particularly the high value (174GeV?) of the top quark mass suggests a special role. In the standard model all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul H. Frampton

We calculate quark and lepton masses and quark mixing angles in the framework of a supersymmetric SU(4)$\otimes$SU(2)$_L\otimes$SU(2)$_R$ model where the gauge group is broken at 10$^{16}$ GeV. The model predicts third family top-bottom-tau…

High Energy Physics - Phenomenology · Physics 2010-11-01 B. C. Allanach , S. F. King

We consider a model in which each family transforms under a different SU(3) color group. The low-energy effective theory is an extension of the Standard Model, with additional color octet gauge bosons $G_H$ with mass $M$ that couple…

High Energy Physics - Phenomenology · Physics 2009-09-29 Christopher D. Carone , Hitoshi Murayama

We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an…

High Energy Physics - Theory · Physics 2016-09-06 Stephen L. Adler

We review and compare theoretically and phenomenologically a number of possible family symmetries, which when combined with unification, could be important in explaining quark, lepton and neutrino masses and mixings, providing new results…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. L. Kane , S. F. King , I. N. R. Peddie , L. Velasco-Sevilla

We consider a gauge model based on $SU(3)\otimes U(1)$ symmetry in which the lepton number is violated explicitly by charged scalar and gauge bosons, including a vector field with double electric charge. Although there exist in the…

High Energy Physics - Phenomenology · Physics 2009-07-28 F. Pisano , V. Pleitez

We study the lowest dimensional typical and atypical representations of SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5) subalgebra with SU(3) extra structure, which will be used to accommodate three…

High Energy Physics - Theory · Physics 2015-06-15 Chang-Ho Kim , Seung Kook Kim , Young-Jai Park

We explore the possibility that lepton family numbers and baryon number are such good symmetries of Nature because they are the global remnant of a spontaneously broken gauge symmetry. An almost arbitrary linear combination of these…

High Energy Physics - Phenomenology · Physics 2020-01-15 Wolfgang Altmannshofer , Joe Davighi , Marco Nardecchia

In the family grand unification models (fGUTs), we propose that gauge U(1)'s beyond the minimal GUT gauge group are family gauge symmetries. For the symmetry $L_\mu-L_\tau$, i.e. $Q_{2}-Q_{3}$ in our case, to be useful for the LHC anomaly,…

High Energy Physics - Phenomenology · Physics 2020-07-29 Paul H. Frampton , Sin Kyu Kang , Jihn E. Kim , Soonkeon Nam

In this paper we discuss $SU(5)^{3}$ with cyclic symmetry as a possible grand unified theory (GUT). The basic idea of such a tri-unification is that there is a separate $SU(5)$ for each fermion family, with the light Higgs doublet(s)…

High Energy Physics - Phenomenology · Physics 2024-06-27 Mario Fernández Navarro , Stephen F. King , Avelino Vicente

In the Standard Model the hypercharges of quarks and leptons are not determined by the gauge group $SU(3)_{\rm c} \times SU(2)_{\rm L} \times U(1)_{\rm Y}$ alone. We show that, if we choose the semidirect product group $[SU(3)_{\rm c}…

High Energy Physics - Phenomenology · Physics 2011-02-01 Chuichiro Hattori , Mamoru Matsunaga , Takeo Matsuoka

The standard model has for massless quarks and leptons "miraculously" no triangle anomalies due to the fact that the sum of all possible traces $Tr [\tau^{Ai}$$ \tau^{Bj}$$ \tau^{Ck}]$ --- where $\tau^{Ai}, \tau^{Bi}$ and $\tau^{Ck}$ are…

High Energy Physics - Phenomenology · Physics 2017-07-06 Norma Susana Mankoč Borštnik , Holger Bech Nielsen

We propose new classes of models which predict both tri-bimaximal lepton mixing and a right-angled Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle, alpha approximately 90 degrees. The ingredients of the models include a supersymmetric…

High Energy Physics - Phenomenology · Physics 2015-05-27 Stefan Antusch , Stephen F. King , Christoph Luhn , Martin Spinrath

Motivated by flavor non-universality and anomalies in semi-leptonic B-meson decays, we present a general and systematic discussion about how to construct anomaly-free $U(1)'$ gauge theories based on an extended standard model with only…

High Energy Physics - Phenomenology · Physics 2018-02-01 Yong Tang , Yue-Liang Wu

We consider the possibility of gauge coupling unification within the simplest realizations of the $\mathrm{SU(3)_c \times SU(3)_L \times SU(3)_R \times U(1)_{X}}$ gauge theory. We present a first exploration of the renormalization group…

High Energy Physics - Phenomenology · Physics 2017-07-12 Chandan Hati , Sudhanwa Patra , Mario Reig , José W. F. Valle , C. A. Vaquera-Araujo

It is possible, and for several reasons attractive, to explain a collection of recent anomalies involving $b\rightarrow s\mu\mu$ processes with a $Z^{\prime}$ gauge boson coupled only to the third family in the weak eigenbasis. From this…

High Energy Physics - Phenomenology · Physics 2019-05-16 Joe Davighi

In this work we present an extension of the Standard model as a local gauge group SU(3)c x SU(4)L x U(1)X embedded in SU(3)c x SU(4)L x U(1)Y0 x U(1)B-L gauge group. The U(1)Y0 gauge symmetry is introduced to obtain an anomaly-free three-…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sutapa Sen Aparna Dixit

We perform a detailed study of the $\text{b} \to \text{c} \tau \nu$ and $\text{b} \to \text{s} l^+ l^-$ processes in a minimal flipped 331 model based on the $SU(3)_C\times SU(3)_L\times U(1)_N$ gauge symmetry. The non universal $SU(3)_L…

High Energy Physics - Phenomenology · Physics 2023-04-07 P. N. Thu , N. T. Duy , A. E. Carcamo Hernandez , D. T. Huong