Quantum Gravity Effects in Black Holes at the LHC

We study possible back-reaction and quantum gravity effects in the evaporation of black holes which could be produced at the LHC through a modification of the Hawking emission. The corrections are phenomenologically taken into account by employing a modified relation between the black hole mass and temperature. The usual assumption that black holes explode around $1$TeV is also released, and the evaporation process is extended to (possibly much) smaller final masses. We show that these effects could be observable for black holes produced with a relatively large mass and should therefore be taken into account when simulating micro-black hole events for the experiments planned at the LHC.Comment: 14 pages, 8 figures, extended version of hep-ph/0601243 with new analysis of final products, final version accepted for publication in J. Phys.

Cosmological constraints on R-parity violation from neutrino decay

If the neutrino mass is non-zero, as hinted by several experiments, then R-parity-violating supersymmetric Yukawa couplings can drive a heavy neutrino decay into lighter states. The heavy neutrino may either decay radiatively into a lighter neutrino, or it may decay into three light neutrinos through a Z-mediated penguin. For a given mass of the decaying neutrino, we calculate its lifetime for the various modes, each mode requiring certain pairs of R-parity-violating couplings be non-zero. We then check whether the calculated lifetimes fall in zones allowed or excluded by cosmological requirements. For the latter case, we derive stringent new constraints on the corresponding products of R-parity-violating couplings for given values of the decaying neutrino mass.Comment: 13 pages, Latex, uses axodraw.sty; version to appear in Physical Review

On the Spontaneous CP Breaking at Finite Temperature in a Nonminimal Supersymmetric Standard Model

We study the spontaneous CP breaking at finite temperature in the Higgs sector in the Minimal Supersymmetric Standard Model with a gauge singlet. We consider the contribution of the standard model particles and that of stops, charginos, neutralinos, charged and neutral Higgs boson to the one-loop effective potential. Plasma effects for all bosons are also included. Assuming CP conservation at zero temperature, so that experimental constraints coming from, {\it e.g.}, the electric dipole moment of the neutron are avoided, and the electroweak phase transition to be of the first order and proceeding via bubble nucleation, we show that spontaneous CP breaking cannot occur inside the bubble mainly due to large effects coming from the Higgs sector. However, spontaneous CP breaking can be present in the region of interest for the generation of the baryon asymmetry, namely inside the bubble wall. The important presence of very tiny explicit CP violating phases is also commented.Comment: 28 pages, 4 figures available upon request, DFPD 94/TH/38 and SISSA 94/81-A preprint

How generic is cosmic string formation in SUSY GUTs

We study cosmic string formation within supersymmetric grand unified theories. We consider gauge groups having a rank between 4 and 8. We examine all possible spontaneous symmetry breaking patterns from the GUT down to the standard model gauge group. Assuming standard hybrid inflation, we select all the models which can solve the GUT monopole problem, lead to baryogenesis after inflation and are consistent with proton lifetime measurements. We conclude that in all acceptable spontaneous symmetry breaking schemes, cosmic string formation is unavoidable. The strings which form at the end of inflation have a mass which is proportional to the inflationary scale. Sometimes, a second network of strings form at a lower scale. Models based on gauge groups which have rank greater than 6 can lead to more than one inflationary era; they all end by cosmic string formation.Comment: 31 pages, Latex, submitted to PR

Recycling universe

If the effective cosmological constant is non-zero, our observable universe may enter a stage of exponential expansion. In such case, regions of it may tunnel back to the false vacuum of an inflaton scalar field, and inflation with a high expansion rate may resume in those regions. An ``ideal'' eternal observer would then witness an infinite succession of cycles from false vacuum to true, and back. Within each cycle, the entire history of a hot universe would be replayed. If there were several minima of the inflaton potential, our ideal observer would visit each one of these minima with a frequency which depends on the shape of the potential. We generalize the formalism of stochastic inflation to analyze the global structure of the universe when this `recycling' process is taken into account.Comment: 43 pages, 10 figure

Inflation in Supersymmetric Unified Theories

We construct supersymmetric unified models which automatically lead to a period of inflation. The models all involve a U(1) symmetry which does not belong to the MSSM. We consider three different types of models depending on whether this extra U(1) is the subgroup of a non abelian gauge group, is a U(1) factor belonging to the visible sector or is a U(1) factor belonging to the hidden sector. Depending on the structure of the unified theory, on the spontaneous symmetry breaking pattern and on whether we have global or local supersymmetry, inflation may be driven by the non-vanishing vacuum expectation value of a F-term or by that of a D-term. In both scenarios cosmic strings form at the end of inflation, and they have different properties in each model. Both inflation and cosmic strings contribute to the CMBR temperature anisotropies. We show that the strings contribute to the $C_l$'s up to the level of 75 %. Hence the contribution from strings to the CMBR and to the density perturbations in the early Universe which lead to structure formation cannot be neglected. We also discuss a very interesting class of models which involve a $U(1)_{B-L}$ gauge symmetry.Comment: 22 pages, uses Revte

Non-perturbative renormalization of QCD

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the scale-dependence of renormalized quantities is explained. An important ingredient in the practical applications is the Schr\"odinger functional. It is introduced and its renormalization properties are discussed. Concerning applications, the computation of the running coupling and the running quark mass are covered in detail and it is shown how the $\Lambda$-parameter and renormalization group invariant quark mass can be obtained. Further topics are the renormalization of isovector currents and non-perturbative Symanzik improvement.Comment: 49 pages, lectures at Schladming-9

Crescimento dos frutos de laranjeira 'Salustiana' situados em ramos anelados com diversas relações de folhas/frutos

A relação entre a área foliar e o crescimento dos frutos é um tema que freqüentemente recebe a atenção dos pesquisadores, por influenciar diretamente na produtividade das plantas e na qualidade dos frutos. Neste trabalho, avaliou-se o efeito da área foliar sobre o crescimento dos frutos da laranjeira 'Salustiana'. Foram utilizados ramos com 12 meses de idade e com apenas um fruto terminal. Os ramos foram anelados visando a manter diversas relações de folhas/fruto. Avaliaram-se, semanalmente, o crescimento dos frutos e os teores de amido presentes nas folhas durante um período de 42 dias. O crescimento dos frutos, avaliado na "fase de crescimento II", dependeu da área foliar disponível por fruto, sendo que 30 folhas foram suficientes para garantir o seu crescimento. As reservas de amido nas folhas dependeram da área foliar disponível por fruto e reduziram à medida que os frutos apresentaram aumentos no diâmetro e nas massas fresca e seca.The relationship between the foliar area and the fruit growth is an important theme because affects the tree productivity and fruits quality. In this work was evaluated the effect of the foliar area on the growth of the Salustiana's sweet orange fruits. Girdled shoots of 12 months were used with a single terminal fruit and several leaves-fruit ratios. It was evaluated, weekly, the fruit growth and the leaves starch contents during 42 days. The fruit growth, evaluated in the stage II, depended on the available leaf area per fruit, provided that 30 leaves were enough to guarantee its growth. The starch reserves in the leaves depended on the available leaf area per fruit and they reduced with the increase in the diameter and dry and fresh weight of the fruits