Calculable lepton masses, seesaw relations, and four neutrino mixings in a 3-3-1 model with an extra U(1) symmetry

We propose a scheme in which the masses of the heavier leptons obey seesaw type relations. The light lepton masses, except the electron and the electron neutrino ones, are generated by one loop level radiative corrections. We work in a version of the 3-3-1 electroweak model that predicts singlets (charged and neutral) of heavy leptons beyond the known ones. An extra U(1)(Omega) symmetry is introduced in order to avoid the light leptons getting masses at the tree level. The electron mass induces an explicit symmetry breaking at U(1)(Omega). We discuss also the mixing matrix among four neutrinos. The new energy scale required is not higher than a few TeV.

Relações internacionais: o comércio exterior do Brasil e Rio Grande do Norte no período de 1999 a 2008

The period post-war promoted several changes in relations economic, political and social world. Since then, a new division international of labor has delineated, with the great growth of Asian countries. In the field of international relations, the world still appears to transition is not completed because the old institutions were not replaced by new ones and the power of the United States as a major capitalist country remains unshaken, even with the emergence and strengthening of new economic global blocs. With globalization, Brazil emerges with more intensity in the face of new issues global, although its share in transactions trade global hasn‟t changed accordingly. In this sense, the objective of this dissertation is to examine, in a descriptive and critical the development of international relations and trade of Brazil and Rio Grande do Norte with the main blocs in the world from 1999 to 2008. As a secondary objective: to identify the assumptions theoretical that underpinned the decisions governments of the FHC and Lula, in particular, the interference of these terms in international relations and foreign trade. Adopted as the procedure methodological the literature review of the subject, as well as collection and processing of the data of foreign trade. During the Cardoso government has undergone the substantial growth in imports, as part of the economic policy of anti-inflationary, generating large deficits trade. From the first to the second term, with the inflection of exchange rate policy the country has resumed surpluses trade. The choice of government of the autonomy participation increased the relative share of the traditional blocks in total foreign trade and reduced the share of MERCOSUL. In the Lula government, there is the maintenance of some elements of the economic policy of the previous government and the partial shift in the conduct of foreign policy, with the option of autonomy through diversification, raising its stake on the blocks and other emerging countries in total foreign trade Brazilian and reducing the contribution of the traditional blocks such as NAFTA and the European Union. A trend observed in the previous government and deepened in the Lula government was the growth in commodity exports and the decline of manufactured products, confirming the model of conservative insertion of Brazilian exports. The Rio Grande do Norte followed the trend Brazilian in the growth of foreign trade, including in participating conservative, given that the products exported by the state are basically coming from horticulture irrigated and agribusiness. However, in the aspect of destination export, the state followed trajectory distinct from that in the Lula government, with the deepening of trade relations with traditional blocks, especially with the European Union and NAFTA

Preliminary Overview of the Economies of Latin America and the Caribbean 1999

Includes bibliography

Foreign Investment in Latin America and the Caribbean 1999

Includes bibliography

Review of Caribbean economic and social performance in the 1980's and 1990's

Includes bibliography

Crenças de uma professora e alunos de quinta série e suas influências no processo de ensino e aprendizagem de inglês em escola pública

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Relação de longo prazo entre o investimento direto externo e variáveis macroeconômicas entre janeiro de 1999 à dezembro de 2007

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Um estudo das crônicas de Vivina de Assis Viana publicadas no Estado de Minas de 1990 a 1999

Pós-graduação em Letras - FCLAS

Fluxos da alteridade: organizações negras e processos identitários no Nordeste Paulista e Triângulo Mineiro (1930-1990)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Orthogonality relations and supercharacter formulas of U(m vertical bar n) representations

In this paper we obtain the orthogonality relations for the supergroup U(m|n), which are remarkably different from the ones for the U(N) case. We extend our results for ordinary representations, obtained some time ago, to the case of complex conjugated and mixed representations. Our results are expressed in terms of the Young tableaux notation for irreducible representations. We use the supersymmetric Harish-Chandra-Itzykson-Zuber integral and the character expansion technique as mathematical tools for deriving these relations. As a byproduct we also obtain closed expressions for the supercharacters and dimensions of some particular irreducible U(m|n) representations. A new way of labeling the U(m|n) irreducible representations in terms of m + n numbers is proposed. Finally, as a corollary of our results, new identities among the dimensions of the irreducible representations of the unitary group U(N) are presented. © 1997 American Institute of Physics.