Explicitly broken lepton number at low energy in the Higgs triplet model

We suppose that lepton number is explicitly broken at low energy scale(M) in the framework of the Higgs triplet($\Delta$) model. The scalar sector of the model is developed considering the particular assumption $M=v_\Delta \approx$ eV. We show that such assumption infers a particular mass spectrum for the scalars that compose the triplet and cause a decoupling of these scalars from those that compose the standard scalar doublet.Comment: Minor changes, New references added, To appear at MPL

Asymptotic stability at infinity for differentiable vector fields of the plane

Let X:R2\Dr->R2 be a differentiable (but not necessarily C1) vector field, where r>0 and Dr={z\in R2:|z|\le r}. If for some e>0 and for all p\in R2\Dr, no eigenvalue of D_p X belongs to (-e,0]\cup {z\in\C:\mathcal{R}(z)\ge 0}, then (a)For all p\in R2\Dr, there is a unique positive semi--trajectory of X starting at p; (b)\mathcal{I}(X), the index of X at infinity, is a well defined number of the extended real line [-\infty,\infty); (c) There exists a constant vector v\in R2 such that if \mathcal{I}(X) is less than zero (resp. greater or equal to zero), then the point at infinity \infty of the Riemann sphere R2\cup\set{\infty} is a repellor (resp. an attractor) of the vector field X+v.Comment: 16 pages, 7 figure

Neutrinoless double beta decay with and without Majoron-like boson emission in a 3-3-1 model

We consider the contributions to the neutrinoless double beta decays in a $SU(3)_L\otimes U(1)_N$ electroweak model. We show that for a range of the parameters in the model there are diagrams involving vector-vector-scalar and trilinear scalar couplings which can be potentially as contributing as the light massive Majorana neutrino exchange one. We use these contributions to obtain constraints upon some mass scales of the model, like the masses of the new charged vector and scalar bosons. We also consider briefly the decay in which besides the two electrons a Majoron-like boson is emitted.Comment: Revtex, 10 pages and 8 eps figures. Extended version to be published in Physical Review

Developing frameworks for protocol implementation

This paper presents a method to develop frameworks for protocol implementation. Frameworks are software structures developed for a specific application domain, which can be reused in the implementation of various different concrete systems in this domain. The use of frameworks support a protocol implementation process connected with formal design methods and produce an implementation code easy to extend and to reuse

Li-Yorke Chaos for Composition Operators on LpL^p-Spaces

Li-Yorke chaos is a popular and well-studied notion of chaos. Several simple and useful characterizations of this notion of chaos in the setting of linear dynamics were obtained recently. In this note we show that even simpler and more useful characterizations of Li-Yorke chaos can be given in the special setting of composition operators on $L^p$ spaces. As a consequence we obtain a simple characterization of weighted shifts which are Li-Yorke chaotic. We give numerous examples to show that our results are sharp

Criar Ciência

Antes de desenvolver o tema ―Criar ciência‖, propriamente dito, sinto a necessidade de definir alguns termos e de enquadrar alguns conceitos. Em primeiro lugar, este capítulo dedica-se às Ciências ditas Exatas e Naturais, sejam elas de caráter fundamental ou aplicado, podendo provavelmente grande parte do que aqui está escrito aplicar-se igualmente à Tecnologia. No entanto, será que os processos e conceitos ligados à criação da Ciência nestas áreas do conhecimento diferem dos que regem as Ciências Humanas e Sociais? Provavelmente não, mas cabe ao leitor responder a esta pergunta através dos textos aqui apresentados. Em segundo lugar, as próprias Ciências ditas Exatas e Naturais abrangem mundos tão diversos e distintos, tanto no que diz respeito às escalas abrangidas (espaciais ou temporais), como ao seu próprio estado de desenvolvimento, pelo que me é obviamente impossível abordar estas ciências no seu conjunto. Com estas palavras exemplifico perfeitamente, o dilema da maior parte dos cientistas: Como falar de um tema sabendo perfeitamente que o que se irá dizer, só se verifica para alguns casos específicos ou até mesmo para uma grande maioria, mas nunca para tudo e todos