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We investigate the consistency conditions for matter fields coupled to the four-dimensional (${\cal N} = 1$ supersymmetric) $\mathbb{CP}(1)$ nonlinear sigma model (the coset space $SU(2)_G/U(1)_H$). We find that consistency requires that…

High Energy Physics - Theory · Physics 2013-12-17 Simeon Hellerman , John Kehayias , Tsutomu T. Yanagida

We show a possibility for the charge quantization of the standard model (SM) particles. If a global symmetry makes the three copies of a generation and supersymmetry (SUSY) relates the Higgs boson to a lepton, all the charges of the SM…

High Energy Physics - Phenomenology · Physics 2018-09-24 Wen Yin

A noncommutative version of the usual electro-weak theory is constructed. We discuss how to overcome the two major problems: 1) although we can have noncommutative U(n) (which we denote by $U_{\star}(n)$) gauge theory we cannot have…

High Energy Physics - Theory · Physics 2010-05-28 M. Chaichian , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

We examine extensions of the Standard Model (SM), basing our assumptions on what has already been observed; we don't consider anything fundamentally different, such as grand unification or supersymmetry, which is not directly suggested by…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. D. Froggatt , H. B. Nielsen , D. J. Smith

We present a common solution to the puzzles of the light Higgs or quark masses and the need for a shift symmetry and large field values in high scale chaotic inflation. One way to protect, for example, the Higgs from a large supersymmetric…

High Energy Physics - Phenomenology · Physics 2015-02-19 Simeon Hellerman , John Kehayias , Tsutomu T. Yanagida

In a minimal extension of the Standard Model, in which new neutral fermions have been introduced, we show that the requirement of vanishing anomalies fixes the hypercharges of all fermions uniquely. This naturally leads to electric charge…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Nowakowski , A. Pilaftsis

Experimentally it has been known for a long time that the electric charges of the observed particles appear to be quantized. An approach to understanding electric charge quantization that can be used for gauge theories with explicit $U(1)$…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Foot , H. Lew , R. R. Volkas

After proving, in a previous paper, that the electric charge quantization occurs as a natural consequence in renormalizable $SU(3)_c \otimes SU(n)_{L} \otimes U(1)_{Y}$ gauge models, we take here a step further within the same paradigm in…

High Energy Physics - Phenomenology · Physics 2023-01-03 Adrian Palcu

We consider the formulation and quantization of the N=3 superparticle model, both with and without central charge. Without the central charge the action possesses U(3) invariance and therefore is naturally quantized in the N=3 harmonic…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , I. B. Samsonov

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

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

This work studies the connection of the global properties of the SM gauge group to 1-form discrete symmetries, the possible non-Abelian embeddings of the SM group, and electric and magnetic charge quantisation. Building on previous work, we…

High Energy Physics - Phenomenology · Physics 2025-07-03 Rodrigo Alonso , Despoina Dimakou , Yunji Ha , Valentin V. Khoze

We propose a model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge symmetry with an extra $S_{3}\otimes Z_{2}\otimes Z_{4}\otimes Z_{12}$ discrete group, which successfully accounts for the SM quark mass and mixing pattern.…

High Energy Physics - Phenomenology · Physics 2015-02-25 A. E. Cárcamo Hernández , R. Martinez , Jorge Nisperuza

We propose a top hypercharge model with gauge symmetry SU(3)_C x SU(2)_L x U(1)_1 x U(1)_2 where the first two families of the Standard Model (SM) fermions are charged under U(1)_1 while the third family is charged under U(1)_2. The U(1)_1…

High Energy Physics - Phenomenology · Physics 2009-01-06 Cheng-Wei Chiang , Jing Jiang , Tianjun Li , Yong-Rui Wang

Basing on the general photon eigenstate and anomaly cancellation, it is shown that the electric charge quantization in SU(3)_c X SU(3)_L X U(1)_X model with exotic particles can be obtained independently on parameters alpha and betta. The…

High Energy Physics - Phenomenology · Physics 2010-01-18 O. B. Abdinov , F. T. Khalil-zade , S. S. Rzaeva

We construct UV completions of bottom-up models with a pseudo Nambu-Goldstone Boson (NGB) composite Higgs and partial compositeness, admitting a weakly coupled description of the composite sector. This is identified as the low energy…

High Energy Physics - Phenomenology · Physics 2015-06-12 Francesco Caracciolo , Alberto Parolini , Marco Serone

We obtain electric charge quantization in the context of models based on the gauge symmetry group SU(3) X SU(4) X U(1). The gauge models studied include three families to cancel out anomalies and a set of scalar fields to break…

High Energy Physics - Phenomenology · Physics 2015-06-15 J. M. Cabarcas , J. -Alexis Rodriguez

In the framework of Standard Model for the arbitrary values of Higgs and fermions fields hypercharges, taking into account parity invariance of electromagnetic interaction, expressions for the fermions charges, testifying the electric…

High Energy Physics - Phenomenology · Physics 2008-07-29 O. B. Abdinov , F. T. Khalil-zade , S. S. Rzaeva

We consider next-to-minimal supersymmetric standard model (NMSSM) which has a gauge singlet superfield. In the scale invariant superpotential we do not have the mass terms and the whole Lagrangian has an additional $Z_3$ symmetry. This…

High Energy Physics - Phenomenology · Physics 2016-07-12 Priyotosh Bandyopadhyay , Katri Huitu , Saurabh Niyogi

We examine a dual theory of a Supersymmetric Standard Model(SSM) in terms of an $SU(3)_C$ gauge group. In this scenario, it is naturally understood that at least one quark (the top quark) should be heavy, i.e., almost the same order as the…

High Energy Physics - Phenomenology · Physics 2011-01-13 Nobuhiro Maekawa
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