Grand unification and proton stability near the Peccei-Quinn scale

We show that in an SU(2)circle timesU(1) model with a Dine-Fischler-Srednicki-like invisible axion it is possible to obtain (i) the convergence of the three gauge coupling constants at an energy scale near the Peccei-Quinn scale; (ii) the correct value for sin(2)theta<^>(W)(M-Z); (iii) the stabilization of the proton by the cyclic Z(13)circle timesZ(3) symmetries which also stabilize the axion as a solution to the strong CP problem. Concerning the convergence of the three coupling constants and the prediction of the weak mixing angle at the Z peak, this model is as good as the minimal supersymmetric standard model with mu(SUSY)=M-Z. We also consider the standard model with six and seven Higgs doublets. The main calculations were done in the 1-loop approximation but we briefly consider the 2-loop contributions.

SU(5)circle times Z(13) grand unification model

We propose an SU(5) grand unified model with an invisible axion and the unification of the three coupling constants which is in agreement with the values, at M(Z), of alpha, alpha(s), and sin(2)theta(W). A discrete, anomalous, Z(13) symmetry implies that the Peccei-Quinn symmetry is an automatic symmetry of the classical Lagrangian protecting, at the same time, the invisible axion against possible semiclassical gravity effects. Although the unification scale is of the order of the Peccei-Quinn scale the proton is stabilized by the fact that in this model the standard model fields form the SU(5) multiplets completed by new exotic fields and, also, because it is protected by the Z(13) symmetry.

The electromagnetic gauge invariance in SU(3)L ⊗ U(1)N models of electroweak unification reexamined

Two models with SU(3)C ⊗ SU(3)L U(1)N gauge symmetry are considered. We show that the masslessness of the photon does not prevent the neutrinos from acquiring Majorana masses. That is, there is no relation between the VEVs of Higgs fields and the electromagnetic gauge invariance contrary to what has been claimed recently. © 1998 Elsevier Science B.V. All rights reserved.

Invisible axion and neutrino masses

We show that in any invisible axion model due to the effects of effective nonrenormalizable interactions related to an energy scale near the Peccei-Quinn, grand unification or even the Planck scale, active neutrinos necessarily acquire masses in the sub-eV range. Moreover, if sterile neutrinos are also included and if appropriate cyclic Z(N) symmetries are imposed, it is possible that some of these neutrinos are heavy while others are light.

Observing Higgs dark matter at the CERN LHC

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A história portuguesa medieval: preservação, ordenação e esquecimento

Os últimos séculos da Idade Média, nomeadamente os séculos XIII, XIV e XV, são marcados na Europa por uma crescente preocupação em fixar por escrito os diversos saberes e eventos, preocupação que, ligada às tentativas de sistematizar a organização dos reinos, contribui significativamente para a ascensão das línguas vulgares como línguas dos mais variados gêneros - de documentos jurídicos e administrativos a textos de caráter filosófico e histórico. em Portugal, o empenho em deixar registrado o passado numa língua acessível tem início no século XIV e culmina no século XV, quando se procura organizar a memória através da escrita e se começa a construir uma perspectiva portuguesa sobre o passado. O objetivo do presente texto é mapear alguns índices que revelam a importância que os portugueses dos séculos XIV e XV conferem à ordenação do passado, sobretudo a partir da escolha do que devia e do que não podia cair no esquecimento.

Language policy in Brazil: Monolingualism and linguistic prejudice

The purpose of this article is to analyse the linguistic situation in Brazil and to discuss the relationship between Portuguese and the 200 other languages, about 170 indigenous, spoken in the country. It focuses on three points: the historical process of language unification, recent official language policy initiatives, and linguistic prejudice. I examine two manifestations of linguistic prejudice, one against external elements, and the other against supposedly inferior internal elements, pointing out to a common origin: the myth that the Portuguese language in Brazil is characterised by an astonishing unity. © 2004 Kluwer Academic Publishers.

Educaçãdo matemática na realidade do ciberespaço - Que aspectos ontológicos e científicos se apresentam?

The question that leads this article is What is this virtual space in the on-line mathematics education process? We focus on the question of the real and virtual as issues taken as components of cyberspace. We investigate these notions in the history of philosophy, looking to Granger to find their meaning, to enable us to understand them and fit them into the sphere of Mathematics Education. This theoretical-philosophical article, then, claims that the virtuality of cyberspace is supported by the computer screen, built by the unification of the sciences (mathematics), technology and its applications. Software and the actions taken by Internet users update the capability of these programs in a variety of characteristics and possibilities such as space-time flow interconnections as well as during the mathematics education process.

Post-sphaleron baryogenesis and an upper limit on the neutron-antineutron oscillation time

A recently proposed scenario for baryogenesis, called post-sphaleron baryogenesis (PSB), is discussed within a class of quark-lepton unified framework based on the gauge symmetry SU(2)L×SU(2) R×SU(4)c realized in the multi-TeV scale. The baryon asymmetry of the Universe in this model is produced below the electroweak phase transition temperature after the sphalerons have decoupled from the Hubble expansion. These models embed naturally the seesaw mechanism for neutrino masses and predict color-sextet scalar particles in the TeV range which may be accessible to the LHC experiments. A necessary consequence of this scenario is the baryon-number-violating ΔB=2 process of neutron-antineutron (n-n̄) oscillations. In this paper we show that the constraints of PSB, when combined with the neutrino oscillation data and restrictions from flavor changing neutral currents mediated by the colored scalars, imply an upper limit on the n-n̄ oscillation time of 5×1010 sec regardless of the quark-lepton unification scale. If this scale is relatively low, in the (200-250) TeV range, τn-n̄ is predicted to be less than 1010 sec, which is accessible to the next generation of proposed experiments. © 2013 American Physical Society.

Análise não suave e aplicações em otimização

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma análise sobre a avaliação emocional de web site por similaridade e por contiguidade

Pós-graduação em Design - FAAC

A evolução biológica no ensino médio no Estado de São Paulo: competências curriculares, orientações didáticas e indicadores de aprendizagem

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Reconhecimento ético em Hegel à luz do conceito de família

Pós-graduação em Filosofia - FFC

Reunificação da Alemanha: o evento histórico na televisão

Pós-graduação em História - FCHS

Introdução aos monopolos magnéticos de t’Hooft e Polyakov

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)