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We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an arbitrary number of blocks and accounts for the case where…

Numerical Analysis · Mathematics 2026-02-06 Marco Pilotto , Luca Bergamaschi , Angeles Martinez

The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

In a simple PT-symmetric model we demonstrate that and how the violation of a reflection symmetry $E_j=-E_{N+1-j}$ of the spectrum (called "self-duality" by Dunne and Shifman) is connected with the loss of the simplicity of the shape of the…

Quantum Physics · Physics 2008-07-15 Miloslav Znojil

In this paper we present a model for the spontaneous breaking of parity with two Higgs doublets and two neutral Higgs singlets which are even and odd under D-parity. The condition $ v_R >>v_L $ can be satisfied without introducing…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Chavez , J. A. Martins Simoes

We present a supersymmetric Pati-Salam model with small representations as a potential candidate for physics beyond the Standard Model. The model features a Higgs sector with bifundamental fields $H_R+\bar H_R=(4,1,2)+(\bar 4,1,2)$,…

High Energy Physics - Phenomenology · Physics 2025-02-24 George K. Leontaris , Ruiwen Ouyang , Ye-ling Zhou

We use a simulated annealing algorithm to find the static field configuration with the lowest energy in a given sector of topological charge for generalized SU(2) Skyrme models. These numerical results suggest that the following conjecture…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. -P. Longpre , L. Marleau

It is known that a three Higgs doublet model (3HDM)symmetric under an exact $A_4$ symmetry is not compatible with nonzero quark masses and/or non-block-diagonal CKM matrix. We show that a 3HDM with softly broken $A_4$ terms in the scalar…

High Energy Physics - Phenomenology · Physics 2023-05-03 Iris Bree , Sergio Carrolo , Jorge C. Romao , Joao P. Silva

We study the symmetry breaking sector of a supersymmetric left-right model based on the gauge group $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$. The explicit mass matrices of neutral, singly charged and doubly charged scalars are constructed.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Katri Huitu , Jukka Maalampi

A $ Z_3 $ symmetric 3-Higgs Doublet Model (3HDM) with two inert doublets and one active doublet (that plays the role of the Higgs doublet), the so-called I(2+1)HDM, is studied. We discuss the behaviour of this 3HDM realisation when one…

High Energy Physics - Phenomenology · Physics 2022-03-15 D. Hernández-Otero , J. Hernández-Sánchez , S. Moretti , T. Shindou

A complete study of the Higgs sector of the $SU(3)_{c}\otimes SU(3)_{L}\otimes U(1)_{X}$ model is carried out, obtaining all possible cases of vacuum expectation values that permit the spontaneous symmetry breaking pattern$ SU(3)_{L}\otimes…

High Energy Physics - Phenomenology · Physics 2009-11-10 Rodolfo A. Diaz , R. Martinez , F. Ochoa

Solving the three-dimensional (3D) Bratu equation is highly challenging due to the presence of multiple and sharp solutions. Research on this equation began in the late 1990s, but there are no satisfactory results to date. To address this…

Numerical Analysis · Mathematics 2025-07-22 Muhammad Luthfi Shahab , Hadi Susanto , Haralampos Hatzikirou

The pure-Skyrme limit of a scale-breaking Skyrmed O(3) sigma model in 1+1 dimensions is employed to study the effect of the Skyrme term on the semiclassical analysis of a field theory with instantons. The instantons of this model are…

High Energy Physics - Theory · Physics 2009-10-31 H. J. W. Mueller-Kirsten , S. -N. Tamarian , D. H. Tchrakian , F. Zimmerschied

We consider the problem of a self-interacting scalar field nonminimally coupled to the three-dimensional BTZ metric such that its energy-momentum tensor evaluated on the BTZ metric vanishes. We prove that this system is equivalent to a…

High Energy Physics - Theory · Physics 2016-08-16 Mokhtar Hassaïne

We discuss the discrete as well as the continuous symmetry transformations for a three $(2+1)$-dimensional $(3D)$ combined system of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2026-01-12 R. Kumar , R. P. Malik

Two-Higgs-doublet models (2HDM) are simple extensions of the Standard Model (SM) where the scalar sector is enlarged by adding a weak doublet. As a result, the Higgs potential depends in general on several free parameters which have to be…

High Energy Physics - Phenomenology · Physics 2010-12-17 Simon de Visscher , Jean-Marc Gerard , Michel Herquet , Vincent Lemaitre , Fabio Maltoni

We study the dynamics of electroweak symmetry-breaking in an extension of the Standard Model where the Higgs sector is augmented by the addition of a real (Y = 0) isospin triplet. We show that this scenario exhibits a novel, two-step…

High Energy Physics - Phenomenology · Physics 2014-04-16 Hiren H. Patel , Michael J. Ramsey-Musolf

We prove a duality, recently conjectured in arXiv:1103.5726, which relates the F-terms of supersymmetric gauge theories defined in two and four dimensions respectively. The proof proceeds by a saddle point analysis of the four-dimensional…

High Energy Physics - Theory · Physics 2011-09-13 Heng-Yu Chen , Nick Dorey , Timothy J. Hollowood , Sungjay Lee

We construct a supersymmetric SU(2)_L X SU(2)_R X U(1)_B-L model in which a discrete symmetry (C-parity) implements strict left-right symmetry in the scalar (Higgs) sector. Although two electroweak bidoublets are introduced to accommodate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Chin-Aik Lee , Qaisar Shafi

We explore solutions of six dimensional gravity coupled to a non-linear sigma model, in the presence of co-dimension two branes. We investigate the compactifications induced by a spherical scalar manifold and analyze the conditions under…

High Energy Physics - Theory · Physics 2010-11-19 Hyun Min Lee , Antonios Papazoglou

In this paper we generalize our previous model (arXiv: 1705.09331), on a hidden conformal symmetry of smooth braneworld scenarios, to the case with two real scalar fields non-minimally coupled to gravity. The gauge condition reduces the…

High Energy Physics - Theory · Physics 2019-10-28 G. Alencar , Merab Gogberashvili
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