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A five dimensional N=1 supersymmetric theory compactified on the orbifold $S^1/\mathbb{Z}_2$ is constructed. Gauge fields and $SU(2)_L$ singlets propagate in the bulk ($U$-states) while $SU(2)_L$ doublets are localized at an orbifold fixed…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Delgado , M. Quirós

We present a locally supersymmetric extension of the minimal supersymmetric Standard Model (MSSM) based on the gauge group $SU(3)_C\times SU(2)_L\times U(1)_Y\times U(1)^\prime$ where, except for the supersymmetry breaking scale which is…

High Energy Physics - Phenomenology · Physics 2009-07-30 R. S. Hundi , Sandip Pakvasa , Xerxes Tata

We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. The square of the Dirac operator serves as Hamiltonian. We derive a relation between the number of supercharges…

High Energy Physics - Theory · Physics 2009-11-10 A. Kirchberg , J. D. Laenge , A. Wipf

We analyze the superfield constraints of the D=4, N=3 SYM-theory using light-cone gauge conditions. The SU(3)/U(1)xU(1) harmonic variables are interpreted as auxiliary spectral parameters, and the transform to the harmonic-superspace…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Zupnik

We discuss some properties of the spectral triple $(A_F,H_F,D_F,J_F,\gamma_F)$ describing the internal space in the noncommutative geometry approach to the Standard Model, with $A_F=\mathbb{C}\oplus\mathbb{H}\oplus M_3(\mathbb{C})$. We show…

Mathematical Physics · Physics 2016-11-16 Francesco D'Andrea , Ludwik Dabrowski

We consider the Higgs sector in an extension of the MSSM involving an extra U(1)' gauge symmetry and SM singlet U(1)' charged scalars, in which the effective $\mu$ parameter is decoupled from the Z' mass. There are large mixings between…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tao Han , Paul Langacker , Bob McElrath

Due to chiral supersymmetry the (nonzero mode) spectral and symmetry properties of a 4-dimensional, self-dual Dirac-Yang-Mills operator $\D$ can be recovered from those of the corresponding scalar Laplacian $D^2$. It is shown that a similar…

High Energy Physics - Theory · Physics 2009-03-18 L. Fehér , P. A. Horváthy , L. O'Raifeartaigh

Motivated by grand unified theories and string theories we analyze the general structure of the neutralino sector in the USSM, an extension of the Minimal Supersymmetric Standard Model that involves a broken extra U(1) gauge symmetry. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Y. Choi , H. E. Haber , J. Kalinowski , P. M. Zerwas

This work consists of two parts. In the first part we construct the complete extension of the Minimal Supersymmetric Standard Model by higher dimensional effective operators and study its phenomenology. These operators encapsulate the…

High Energy Physics - Theory · Physics 2012-01-31 Pantelis Tziveloglou

We describe a new type of discrete symmetry that relates heterotic-string models. It is based on the spectral flow operator which normally acts within a general N=(2,2) model and we use this operator to construct a map between N=(2,0)…

High Energy Physics - Theory · Physics 2015-08-03 Panos Athanasopoulos

Experimental probes of the recently discovered Higgs boson show that its behavior is close to that of the Standard Model (SM) Higgs particle. Extensions of the SM which include extra Higgs bosons are constrained by these observations,…

High Energy Physics - Phenomenology · Physics 2020-04-03 Nina M. Coyle , Carlos E. M. Wagner

In this letter we consider the distinctive phenomenology of supersymmetric models in which the scale of SUSY breaking is very low, \sqrt{F}= O(TeV), focusing on the Higgs sector and the process of electroweak breaking. Using an effective…

High Energy Physics - Phenomenology · Physics 2016-09-26 Ignacio Navarro

We explore phenomenological implications of the minimal supersymmetric standard model (MSSM) with a strong supersymmetry breaking trilinear term. Supersymmetry breaking can trigger electroweak symmetry breaking via a symmetry-breaking…

High Energy Physics - Phenomenology · Physics 2014-02-24 Lauren Pearce , Alexander Kusenko , R. D. Peccei

We study an extension of the Minimal Supersymmetric Standard Model with a gauge group $SU(2)_1\otimes SU(2)_2$ breaking to $SU(2)_L$. The extra wino has an enhanced gauge coupling to the SM-like Higgs boson and, if light, has a relevant…

High Energy Physics - Phenomenology · Physics 2013-03-27 Ran Huo , Gabriel Lee , Arun M. Thalapillil , Carlos E. M. Wagner

Given a densely defined skew-symmetric operators A 0 on a real or complex Hilbert space V , we parametrize all m-dissipative extensions in terms of contractions $\Phi$ : H-$\rightarrow$ H + , where Hand H + are Hilbert spaces associated…

Numerical Analysis · Mathematics 2022-08-09 Wolfgang Arendt , Isabelle Chalendar , Robert Eymard

A universal formula for an action associated with a noncommutative geometry, defined by a spectal triple $(\Ac ,\Hc ,D)$, is proposed. It is based on the spectrum of the Dirac operator and is a geometric invariant. The new symmetry…

High Energy Physics - Theory · Physics 2009-10-30 Ali Chamseddine , Alain Connes

In this paper we construct a candidate for a spectral triple on a quotient space of gauge connections modulo gauge transformations and show that it is related to a Kasparov type bi-module over two canonical algebras: the HD-algebra, which…

High Energy Physics - Theory · Physics 2023-10-25 Johannes Aastrup , Jesper M. Grimstrup

We propose a supersymmetric extension of the anomaly-free and three families nonuniversal $U(1)$ model, with the inclusion of four Higgs doublets and four Higgs singlets. The quark sector is extended by adding three exotic quark singlets,…

High Energy Physics - Phenomenology · Physics 2019-10-02 J. S. Alvarado , Carlos E. Diaz , R. Martinez

We introduce the notion of a semi-Riemannian spectral triple which generalizes the notion of spectral triple and allows for a treatment of semi-Riemannian manifolds within a noncommutative setting. It turns out that the relevant spaces in…

Mathematical Physics · Physics 2015-06-26 Alexander Strohmaier

We consider supersymmetry breaking models in which the MSSM is extended to include an additional chiral adjoint field for each gauge group with which the the MSSM gauginos acquire Dirac masses. We investigate a framework in which the…

High Energy Physics - Phenomenology · Physics 2009-09-29 Z. Chacko , Patrick J. Fox , Hitoshi Murayama