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

Evading the Few TeV Perturbative Limit in 3-3-1 Models

Some versions of the electroweak SU(3)_L\otimesU(1)_X models cannot be treated within perturbation theory at energies of few TeV. An extended version for these models is proposed which is perturbative even at TeV scale posing no threatening inconsistency for test at future colliders. The extension presented here needs the addition of three octets of vector leptons, which leave three new leptonic isotriplets in the SU(2)_L\otimesU(1)_Y subgroup. With this representation content the running of the electroweak mixing angle, $\theta_W (\mu)$, is such that $\sin^2\theta_W(\mu)$ decreases with the increase of the energy scale $\mu$, when only the light states of the Standard Model group are considered. The neutral exotic gauge boson $Z^\prime$ marks then a new symmetry frontier.Comment: 15 pages, 2 figures, minor correction

Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles

We present a gauge model for the bimaximal mixing pattern among the neutrinos that explains both the atmospheric and solar neutrino data via large angle vacuum oscillation among the three known neutrinos. The model does not include righthanded neutrinos but additional Higgs triplets which acquire naturally small vev's due to the type II seesaw mechanism. A combination of global $L_e-L_{\mu}-L_{\tau}$ and $S_3$ symmetries constrain the mass matrix for both charged leptons and neutrinos in such a way that the bimaximal pattern emerges naturally at the tree level and needed splittings among neutrinos at the one loop level. This model predicts observable branching ratios for $\tau\to \mu \mu\mu$, which could be used to test it.Comment: Latex file, 8 pages, five figures include

Quimerismo 60,xx/60,xy e freemartismo em bovinos nascidos de partos gemelares heterossexuais.

Foram estudados citogeneticamente 42 bovinos nascidos de partos gemelares heterossexuais, sendo 10 casais, 19 fêmeas e três machos de várias raças, principalmente, Holandesa (17) e Pardo Suíça (11), pertencentes ao Instituto de Zootecnia-APTA, Nova Odessa, SP, e a produtores particulares de outras regiões do Estado. A análise citogenética foi realizada em metáfases obtidas após culturas de linfócitos. Em 90,5% (38) dos animais, foi observado o quimerismo 60,XX/ 60,XY com 1,8 a 90,2% de células femininas. Considerando todos os animais quiméricos, foram analisadas 3806 células, sendo 1268 XX (33,3%) e 2538 XY (66,7%). Em nove casais, as freqüências de células femininas foram 24,8 e 21,5% e as de masculinas de 75,2 e 78,5% para fêmeas e machos, respectivamente. Em um casal, não foi evidenciada troca de células, e a fêmea apresentou somente células de linhagem feminina e o macho, de linhagem masculina. Três das fêmeas avaliadas eram adultas e foram abatidas. Seus aparelhos genitais apresentaram vários graus de masculinização como: aumento do clitóris, subdesenvolvimento da vagina, da cérvix (ausente em uma fêmea), do útero, das tubas uterinas, presença de glândulas vesiculares e gônadas ovotestis, (testículos e pênis rudimentares foram encontrados em uma fêmea). O cariótipo 60,XX foi observado em apenas três fêmeas das 29 analisadas: duas delas apresentaram todas as características de fêmea normal e inclusive pariram com aproximadamente 30 meses de idade; a outra fêmea ainda não atingiu a idade de reprodução, mas parece apresentar função reprodutiva normal. Dos 13 machos analisados, 12 apresentaram quimerismo 60,XX/60,XY e um apresentou cariótipo normal (60,XY). A análise citogenética é um meio eficaz e pouco oneroso de constatar freemartismo em fêmea bovina gêmea com macho, permitindo o diagnóstico precoce e a oportunidade de eliminação do processo reprodutivo os animais portadores de quimerismo, de maneira a baixar os custo com manejo e a diminuir a freqüência desta anomalia nos rebanhos

Five-Dimensional QED, Muon Pair Production and Correction to the Coulomb Potential

We consider QED in five dimensions in a configuration where matter is localized on a 3-brane while foton propagates in the bulk. The idea is to investigate the effects of the Kaluza-Klein modes of the photon in the relativistic regime, but in low energy, and in the nonrelativistic regime. In the relativistic regime, we calculate the cross section for the reaction $e^+ + e^- \to \mu^+ + \mu^-$. We compare our theoretical result with a precise measurement of this cross section at $\sqrt{s}=57.77$ GeV. As result, we extract a lower bound on the size of the extra dimension. In the nonrelativistic regime, we derive the contribution for the Coulomb potential due to the whole tower of the Kaluza-Klein excited modes of the photon. We use the modified potential to calculate the Rutherford scattering differential cross section.Comment: minor changes, three new refs. added, to appear in IJMP

A Group Intervention or Smoking Cessation: The Impact of a Group Cohesion Strategy on Attendance and Outcome

This study investigated the effectiveness of incorporating methods to boost group processes as means of enhancing attendance and abstinence from smoking for 4 consecutive weeks following a set quit day (self-report and CO monitored on expired breath). A total of 140 smokers (age: M = 48, SD = 12.45; 47% male, 53% female) attended the North West London Specialist clinic. Abstinence was verified by CO levels in expired breath and self-reports. Participants were allocated to two conditions; half attended the traditional Hajek group intervention (HGI) and the remaining received (HGI) plus a “breaking the ice exercise” (BIE). HGI Findings indicated the groups with emphasis on social support and where initial rapport was built were significantly more successful. This study suggests that group methods, rapport and social support play a role in group dynamics affecting therapeutic outcome. Incorporating a simple intervention where patients address each other’s motives for joining the Clinic and introduce their peers augments cohesiveness

Neutrino Decay and Neutrinoless Double Beta Decay in a 3-3-1 Model

In this work we show that the implementation of spontaneous breaking of the lepton number in the 3-3-1 model with right-handed neutrinos gives rise to fast neutrino decay with majoron emission and generates a bunch of new contributions to the neutrinoless double beta decay.Comment: Version accepted for publication in the Phys. Rev.

The Left-Right SU(3)(L)xSU(3)(R)xU(1)(X) Model with Light, keV and Heavy Neutrinos

We construct a full left-right model for the electroweak interactions based on the $SU(3)_{L}\otimes SU(3)_{R}\otimes U(1)_{X}$ gauge symmetry. The fermion content of the model is such that anomaly cancellation restricts the number of families to be a multiple of three. One of the most important features of the model is the joint presence of three light active neutrinos, three additional neutrinos at keV mass scale, and six heavy ones with masses around\textbf{$10^{11}$} GeV. They form a well-motivated part of the spectrum in the sense they address challenging problems related to neutrino oscillation, warm dark matter, and baryogenesis through leptogenesis.Comment: 11 pages. Small corrections and typos fixed. Accepted for publication in PR