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We study the analogue of the Harish-Chandra homomorphism where the universal enveloping algebra is replaced by the Clifford algebra, $Cl(g)$, of a semisimple Lie algebra $g$. Two main goals are achieved. First, we prove that there is a…

Representation Theory · Mathematics 2009-04-22 Yuri Bazlov

The Two Higgs Doublets Model (2HDM) has provided a very useful way to describe a minimal extension of the scalar sector of the Standard Model. In this work, it is shown a scheme that we call Partial Aligned Two Higgs Doublet Model (PA-2HDM)…

High Energy Physics - Phenomenology · Physics 2012-04-25 J. Hernández-Sánchez , L. López-Lozano , R. Noriega-Papaqui , A. Rosado

We study the generalization of $R\to 1/R$ duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging…

High Energy Physics - Theory · Physics 2009-10-22 Martin Rocek , Erik Verlinde

By identifying the Higgs field as an internal component of a higher dimensional gauge field it is possible to solve the little hierarchy problem. The construction of a realistic model that incorporates such a gauge-Higgs unification is an…

High Energy Physics - Phenomenology · Physics 2008-12-18 Alfredo Aranda , J. Lorenzo Diaz-Cruz

We introduce and discuss an effective model of a self-gravitating system whose equilibrium thermodynamics can be solved in both the microcanonical and the canonical ensemble, up to a maximization with respect to a single variable. Such a…

Statistical Mechanics · Physics 2010-05-21 Lapo Casetti , Cesare Nardini

Some aspects of the phenomenology of the top quark and the charged Higgs are studied, emphasizing relations due to radiative corrections. Production mechanisms at the SSC are mentioned, and decay modes are analyzed including radiative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marco A. Diaz

In the article, a general solution of an equation with a generalized Hilfer derivative, which has a degeneration, is constructed. Particular solutions are presented through the Kilbas-Saigo function. A representation of the solution of the…

Analysis of PDEs · Mathematics 2023-02-15 B. Yu. Irgashev

We perform an explicit two-loop computation of the Higgs mass in a five-dimensional supersymmetric theory compactified on the orbifold S^1/Z_2, with superpotential localized on a fixed-point brane and supersymmetry broken in the bulk of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. Delgado , G. v. Gersdorff , M. Quiros

The Higgs sector of models beyond the standard model requires special attention and study, since through them, a natural explanation can be offered to current questions such as the big differences in the values of the masses of the quarks…

High Energy Physics - Phenomenology · Physics 2012-01-19 S. R. Juarez W. , D. Morales C. , P. Kielanowski

The constraints on the two Higgs doublet model from the new experimental bounds of $b\to s\gamma$ by CLEO and the latest published value of the top quark mass by CDF and D0 are reanalyzed with the effective Lagrangian covering the full QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chao-Hsi Chang , Caidian Lü

We consider Randall-Sundrum two-brane cosmological model in the low energy gradient expansion approximation by Kanno and Soda. It is a scalar-tensor theory with a specific coupling function. We find a first integral of equations for the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Piret Kuusk , Laur Jarv , Margus Saal

We investigate the general two Higgs doublet model imposing both the unitarity conditions and the bounded-from-below conditions. Both types of conditions restrict the ranges of the parameters of the scalar potential. We study the model in…

High Energy Physics - Phenomenology · Physics 2019-09-04 D. Jurčiukonis , L. Lavoura

The most general chiral Lagrangian for electroweak interactions with the complete set of $SU(2)_L\times U(1)_Y$ invariant operators up to dimension four is considered. The two-point and three-point functions with external gauge fields are…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. J. Herrero , E. Ruiz Morales

The problem of finding new metrics of interest, in the context of SUGRA, is reduced to two stages: first, solving a generalized BPS sigma model with full quaternionic structure proposed by the authors and, second, constructing the…

High Energy Physics - Theory · Physics 2015-06-04 V. I. Afonso , D. Bazeia , D. J. Cirilo-Lombardo

We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through…

High Energy Physics - Theory · Physics 2009-10-28 Michael R. Douglas , Keke Li , Matthias Staudacher

We establish a local equivalence between toric steady K\"ahler-Ricci solitons and $A$-type toric generalized K\"ahler-Ricci solitons (GKRS). Under natural global conditions we show this equivalence extends to complete GKRS, yielding a…

Differential Geometry · Mathematics 2025-09-04 Vestislav Apostolov , Giuseppe Barbaro , Jeffrey Streets , Yury Ustinovskiy

We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization…

Chaotic Dynamics · Physics 2016-09-07 George Krylov , Marko Robnik

The exact solution of N- dimensional radial Schr\"odinger equation with the generalized Cornell potential has been obtained using the Laplace transformation (LT) method. The energy eigenvalues and the corresponding wave functions for any…

High Energy Physics - Phenomenology · Physics 2018-02-15 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

A very specific two-Higgs-doublet extension of the Glashow-Salam-Weinberg model for one generation of quarks is advocated for, in which the two doublets are parity transformed of each other and both isomorphic to the Higgs doublet of the…

High Energy Physics - Phenomenology · Physics 2012-10-30 Bruno Machet

The systems of differential equations whose solutions coincide with Bethe ansatz solutions of generalized Gaudin models are constructed. These equations we call the {\it generalized spectral Riccati equations}, because the simplest equation…

High Energy Physics - Theory · Physics 2007-05-23 A. G. Ushveridze
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