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The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

The extended electroweak $\mathrm{SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ symmetry framework "explaining" the number of fermion families is revisited. While $331$-based schemes can not easily be unified within the conventional field theory…

High Energy Physics - Phenomenology · Physics 2016-09-07 Andrea Addazi , J. W. F. Valle , C. A. Vaquera-Araujo

The idea of quark-lepton universality at high energies has recently been explored in unified theories based upon the quartification gauge group SU(3)^4. These schemes encompass a quark-lepton exchange symmetry that results upon the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alison Demaria , Catherine I. Low , Raymond R. Volkas

In a scheme originally proposed by M. Gell-Mann, and subsequently shown to be realized at the SU(3)xU(1) stationary point of maximal gauged SO(8) supergravity by N. Warner and one of the present authors, the 48 spin 1/2 fermions of the…

High Energy Physics - Theory · Physics 2015-04-01 Krzysztof A. Meissner , Hermann Nicolai

Under the assumptions that $SU(3)_c\times U(1)_Y \times G^{\prime}$ with $G^{\prime}$ simple is a local symmetry group at high energies, that color is parity-conserving, and the Y-charges are irreducible, we show that anomaly constraints…

High Energy Physics - Phenomenology · Physics 2009-10-22 Paul H. Frampton , Rabindra N. Mohapatra

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

Within the framework of a Beyond Standard Model (BSM) with a local $SU(3)$ family symmetry, we report an updated fit of parameters which account for the known spectrum of quarks and charged lepton masses and the quark mixing in a $4\times…

High Energy Physics - Phenomenology · Physics 2016-02-29 Albino Hernandez-Galeana

Since the electric charge in the standard model is theoretically not quantized, we may have a variant of it, called dark charge. Similar to the electric charge, the dark charge neither commutes nor closes algebraically with $SU(2)_L$. The…

High Energy Physics - Phenomenology · Physics 2022-08-18 Duong Van Loi , Nguyen Manh Duc , Phung Van Dong

In gauge theories like the standard model, the electric charges of the fermions can be heavily constrained from the classical structure of the theory and from the cancellation of anomalies. We argue that the anomaly conditions are not quite…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Foot

This paper is concerned with a way of thinking about the standard model that explains the existence of three fermion families and the value of the fine structure constant. The main idea is that the ultraviolet divergences that we encounter…

General Physics · Physics 2018-07-23 J. Lemmon

The weak currents with respect to the diagonal neutral bosons $Z$,$Z^{\prime}$, and $Z^{\prime\prime}$ of a specific \textbf{$SU(4)_{L}\otimes U(1)_{Y}$} gauge model are computed in detail for all the fermion families involved therein. Our…

High Energy Physics - Phenomenology · Physics 2014-11-18 Adrian Palcu

We introduce a simple scenario where, by starting with a five-dimensional SU(3) gauge theory, we end up with several 4-D parallel branes with localized fermions and gauge fields. Similar to the split fermion scenario, the confinement of…

High Energy Physics - Theory · Physics 2009-11-11 Gonzalo A. Palma

It is well-known that the charge of fermion is 0 or $\pm1$ in the U(1) gauge theory on noncommutative spacetime. Since the deviation from the standard model in particle physics has not yet observed, and so there may be no room to…

High Energy Physics - Theory · Physics 2007-05-23 Yoshitaka Okumura

We consider the possibility that dark matter is stabilised by a discrete $Z_2$ symmetry which arises from a subgroup of a $U(1)'$ gauge symmetry, spontaneously broken by integer charged scalars, and under which the chiral quarks and leptons…

High Energy Physics - Phenomenology · Physics 2022-01-05 Bowen Fu , Stephen F. King

Consider the addition of a right-handed SU(2) fermion multiplet (with neither color nor hypercharge) to each family of quarks and leptons. The resultant theory admits a new U(1) gauge symmetry only if the additional multiplet is a singlet…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ernest Ma

We consider an $SU(3)_L\otimes U(1)_N$ model for the electroweak interactions which includes extra charged leptons which do not mix with the known leptons. These new leptons couple to $Z^0$ only through vector currents. We consider…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Pleitez , M. D. Tonasse

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 construct a model of quark-lepton unification at the TeV scale based on an $SU(4)$ gauge symmetry, while still having acceptable neutrino masses and enough suppression in flavor changing neutral currents. An approximate $U(2)$ flavor…

High Energy Physics - Phenomenology · Physics 2018-05-16 Admir Greljo , Ben A. Stefanek

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

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