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In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

A direct connection between physical parameters of general Two-Higgs-Doublet Model (2HDM) potentials after electroweak symmetry breaking (EWSB) and the parameters that define the potentials before EWSB is established. These physical…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. C. Nishi

We obtain necessary and sufficient conditions when a pseudocompact paratopological group is topological. (2-)pseudocompact and countably compact paratopological groups that are not topological are constructed. It is proved that each…

Group Theory · Mathematics 2019-08-08 Alex Ravsky

The concept of quasi-bosons or composite bosons (like mesons, excitons etc.) has a wide range of potential physical applications. Even composed of two pure fermions, the quasi-boson creation and annihilation operators satisfy non-standard…

Quantum Physics · Physics 2011-10-07 A. M. Gavrilik , I. I. Kachurik , Yu. A. Mishchenko

We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given…

Mathematical Physics · Physics 2018-04-04 Fabio Bagarello , Evaldo M. F. Curado , Jean-Pierre Gazeau

The goal of this paper is to classify parametrically parabolic submanifolds in any codimension. First, we describe the ones that are ruled and show that they are the only parabolic submanifolds that admit an isometric immersion as a…

Differential Geometry · Mathematics 2009-04-02 Marcos Dajczer , Pedro Morais

We develop combinatorics of parabolic double cosets in finite Coxeter groups as a follow-up of recent articles by Billey-Konvalinka-Petersen-Slofstra-Tenner and Petersen. (1) We construct a double coset system as a generalization of a…

Combinatorics · Mathematics 2019-07-30 Masato Kobayashi

In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of {\em compatible} functions is discussed in details, and some examples are considered. The pseudo-bosonic ladder…

Mathematical Physics · Physics 2022-07-18 Fabio Bagarello

We characterize models where electroweak symmetry breaking is driven by two light Higgs doublets arising as pseudo-Nambu-Goldstone bosons of new dynamics above the weak scale. They represent the simplest natural two Higgs doublet…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jan Mrazek , Alex Pomarol , Riccardo Rattazzi , Michele Redi , Javi Serra , Andrea Wulzer

An action with unconventional supersymmetry was introduced in an earlier paper. Here it is shown that this action leads to standard physics for fermions and gauge bosons at low energy, but to testable extensions of standard physics for…

High Energy Physics - Theory · Physics 2007-05-23 Roland E. Allen

A $\gamma$-deformed version of $su(2)$ algebra with non-hermitian generators has been obtained from a bi-orthogonal system of vectors in $\bf{C^2}$. The related Jordan-Schwinger(J-S) map is combined with boson algebras to obtain a hierarchy…

Mathematical Physics · Physics 2020-12-02 Arindam Chakraborty

We perform a model-independent analysis of the spontaneously broken phase of an $SU(2)\times U(1)$ supersymmetric gauge theory, by using a non-linear parametrization of the Goldstone sector of the theory. The non-linear variables correspond…

High Energy Physics - Phenomenology · Physics 2009-10-22 Sergio Ferrara , Antonio Masiero , Massimo Porrati

Motivated by a $\sim 3\sigma$ excess recorded by the CMS experiment at the LHC around a mass of order $\sim 137$ GeV in $ZZ\to 4l$ and $\gamma\gamma$ samples, we analyse the discovery potential of a second neutral Higgs boson in the…

High Energy Physics - Phenomenology · Physics 2015-09-28 W. Abdallah , S. Khalil , S. Moretti

We introduce a two-parameter deformation of 2x2 matrices without imposing any condition on the matrices and give the universal R-matrix of the nonstandard quantum group which satisfies the quantum Yang-Baxter relation. Although in the…

Quantum Algebra · Mathematics 2009-11-07 Salih Celik , Sultan A. Celik

A novel gauge model which has a spontaneously broken parity symmetry is constructed. The model has only 2 parameters beyond those of the standard model. Some of the unusual implications of the model are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Foot , H. Lew

We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomials, and construct bases of $QSym$ and $\WQSym$ whose…

Combinatorics · Mathematics 2026-04-20 Olivier Bouillot , Jean-Christophe Novelli , Jean-Yves Thibon

We give sufficient conditions for the exponential system to be a Riesz basis in $L^2(E)$, where $E$ is a union of two intervals. We show that these conditions are close to be necessary. In addition, we demonstrate ``extra point effect'' for…

Classical Analysis and ODEs · Mathematics 2025-12-02 Yurii Belov , Mikhail Mironov

As natural extensions of the boson realizations of the su(2)- and the su(1,1)-algebra, the so(4)- and the so(3,1)-algebras are presented in the form of boson realizations with four kinds of boson operators. For each algebra, two forms are…

Nuclear Theory · Physics 2009-11-10 S. Nishiyama , C. Providencia , J. da Providencia , Y. Tsue , M. Yamamura

Let (M,g) be a 2-quasi-Einstein non-conformally flat semi-Riemannian manifold of dimension > 3. We prove that if its Riemann-Christoffel curvature tensor R is a linear combination of some Kulkarni-Nomizu tensors formed by the metric tensor…

We consider a general N=(2,2) non-linear sigma model with a torsion. We show that the consistency of N=(2,2) supersymmetry implies that the target manifold is necessary equipped with two (in general, different) Poisson structures. Finally…

High Energy Physics - Theory · Physics 2010-04-05 Simon Lyakhovich , Maxim Zabzine