Metastability bounds on the two Higgs doublet model

In the two Higgs doublet model, there is the possibility that the vacuum where the universe resides in is metastable. We present the tree-level bounds on the scalar potential parameters which have to be obeyed to prevent that situation. Analytical expressions for those bounds are shown for the most used potential, that with a softly broken Z(2) symmetry. The impact of those bounds on the model's phenomenology is discussed in detail, as well as the importance of the current LHC results in determining whether the vacuum we live in is or is not stable. We demonstrate how the vacuum stability bounds can be obtained for the most generic CP-conserving potential, and provide a simple method to implement them.

Simple thermodynamics of jet engines

We use the first and second laws of thermodynamics to analyze the behavior of an ideal jet engine. Simple analytical expressions for the thermal efficiency, the overall efficiency, and the reduced thrust are derived. We show that the thermal efficiency depends only on the compression ratio r and on the velocity of the aircraft. The other two performance measures depend also on the ratio of the temperature at the turbine to the inlet temperature in the engine, T-3/T-i. An analysis of these expressions shows that it is not possible to choose an optimal set of values of r and T-3/T-i that maximize both the overall efficiency and thrust. We study how irreversibilities in the compressor and the turbine decrease the overall efficiency of jet engines and show that this effect is more pronounced for smaller T-3/T-i.

A dramatic effect of double bond configuration in N-oxy-3-aza Cope rearrangements: a simple synthesis of functionalised allenes

The first examples of low temperature N-oxy-3-aza Cope rearrangements, leading to functionalised allenes are described, where the Z-configuration of the enaminic double bond in the rearranging system proves critical.

Some bounds of loss in classical semideterministic immunization

Since Samuelson, Redington and Fisher and Weil, duration and immunization are very important topics in bond portfolio analysis from both a theoretical and a practical point of view. Many results have been established, especially in semi-deterministic framework. As regards, however, the loss may be sustained, we do not think that the subject has been investigated enough, except for the results found in the wake of the theorem of Fong and Vasicek. In this paper we present some results relating to the limitation of the loss in the case of local immunization for multiple liabilities.

Pour une approche contrastive du présent simple en français et en portugais

Les temps du passé ont toujours constitué une pierre d’achoppement aussi bien dans l’enseignement du français aux étudiants lusophones que dans celui du portugais aux francophones. Le flot continu d’articles sur ce sujet attesterait, à lui seul, la difficulté du problème. Mais aussi étonnant que cela puisse paraître, il n’existe à ce jour aucune étude systématique qui aborde sur une base théorique le présent simple dans le passage du français vers le portugais et/ou vice-versa. Or, une telle étude nous paraît une voie de recherche intéressante et fructueuse qui ouvre de nombreuses perspectives de recherche, dont les possibilités d’application, que ce soit au domaine de l’enseignement des langues étrangères ou celui de la traduction, ne sont pas négligeables. Cette réflexion est d’autant plus urgente que l’emploi du présent simple pose de sérieux problèmes aux élèves lusophones plus inexpérimentés. En effet, ces derniers ont parfois beaucoup de peine à trouver les bonnes correspondances du présent simple en portugais. Afin d’aboutir à des conclusions fiables sur les similarités et les divergences entre le français et le portugais quant aux conditions d’apparition et au mode de fonctionnement du présent simple, nous nous attacherons, dans l’étude contrastive qui suit, à examiner des échantillons de textes littéraires français traduits en portugais et des extraits de textes littéraires portugais traduits en français1. Il s’agira essentiellement de montrer, en recourant à la Théorie des Opérations Énonciatives d’Antoine Culioli (Culioli, 1990; Campos & Xavier, 1991; Campos, 1997, 1998, entre autres), par quels moyens linguistiques le portugais exprime les valeurs aspectuo-temporelles associées au présent simple en français.

Are there hidden scalars in LHC Higgs results?

The Higgs boson recently discovered at the Large Hadron Collider has shown to have couplings to the remaining particles well within what is predicted by the Standard Model. The search for other new heavy scalar states has so far revealed to be fruitless, imposing constraints on the existence of new scalar particles. However, it is still possible that any existing heavy scalars would preferentially decay to final states involving the light Higgs boson thus evading the current LHC bounds on heavy scalar states. Moreover, decays of the heavy scalars could increase the number of light Higgs bosons being produced. Since the number of light Higgs bosons decaying to Standard Model particles is within the predicted range, this could mean that part of the light Higgs bosons could have their origin in heavy scalar decays. This situation would occur if the light Higgs couplings to Standard Model particles were reduced by a concomitant amount. Using a very simple extension of the SM - the two-Higgs doublet model we show that in fact we could already be observing the effect of the heavy scalar states even if all results related to the Higgs are in excellent agreement with the Standard Model predictions.

How short and light can a simple pendulum be for classroom use?

We compare the period of oscillation of an ideal simple pendulum with the period of a more 'real' pendulum constituted of a rigid sphere and a rigid slender rod. We determine the relative error in the calculation of the local acceleration of gravity if the period of the ideal pendulum is use?d instead of the period of this real pendulum. © 2014 IOP Publishing Ltd..

Reappraisal of the wrong-sign HBB¯ coupling and the study of h→Zγ

It has been pointed out recently that current experiments still allow for a two Higgs doublet model where the hbb¯ coupling (kDmb/v) is negative; a sign opposite to that of the Standard Model. Due to the importance of delayed decoupling in the hH+H− coupling, h→γγ improved measurements will have a strong impact on this issue. For the same reason, measurements or even bounds on h→Zγ are potentially interesting. In this article, we revisit this problem, highlighting the crucial importance of h→VV, which can be understood with simple arguments. We show that the impacts on kD<0 models of both h→bb¯ and h→τ+τ− are very sensitive to input values for the gluon fusion production mechanism; in contrast, h→γγ and h→Zγ are not. We also inquire if the search for h→Zγ and its interplay with h→γγ will impact the sign of the hbb¯ coupling. Finally, we study these issues in the context of the flipped two Higgs doublet model.