Leptogenic Supersymmetry at the LHC

Leptogenic Supersymmetry is a scenario characterized by copious lepton production in cascade decays. Due to the high lepton multiplicity and the lack of significant missing energy, leptogenic supersymmetry provides very clean channels which can be probed already with the early LHC data. Furthermore, the Higgs may be discovered in the h->b bbar mode because the leptons accompanying Higgs production efficiently suppress the background.Comment: 4 pages, 2 figures. Contribution to the proceedings of SUSY 09, Northeastern University, Boston, M

On Resonant Leptogenesis

It has been recently shown that the quantum Boltzmann equations may be relevant for the leptogenesis scenario. In particular, they lead to a time-dependent CP asymmetry which depends upon the previous dynamics of the system. This memory effect in the CP asymmetry is particularly important in resonant leptogenesis where the asymmetry is generated by the decays of nearly mass-degenerate right-handed neutrinos. We study the impact of the nontrivial time evolution of the CP asymmetry in resonant leptogenesis, both in the one-flavour case and with flavour effects included. We show that significant qualitative and quantitative differences arise with respect to the case in which the time dependence of the CP asymmetry is neglected.Comment: 16 pages, 7 figures. IOP LaTeX class used. Minor corrections and references added. Matches the version published in JCA

How Do Trade in Intermediates and Geographical Forces Interact in Determining the Localisation of Industries in Central Eastern European Countries?

Growing inflows of FDI and the increasing integration Central Eastern European Countries’ firms in International Production Networks set by EU-15 principals have brought to a rise in trade in parts and components. As a consequence, new patterns of localisation of industrial activities in CEECs have been observed. I put forward a general equilibrium model of trade and production which tries to explain cross-country variations of sectoral output on the basis of home market effect, trade in middle products, comparative advantages and market potential. Results coming from the empirical estimation allow me to draw some considerations about the driving forces behind the localisation over the second half of the 1990s of the four sectors in which most of the CEECs’ trade in intermediates with EU-15 is concentrated. I also argue that the proposed framework can be employed to test for the effectiveness of alternative trade theories.Trade in Parts and Components, International Production Networks, Market Potential, Industry Localisation, Home Market Effect

Sachs' free data in real connection variables

We discuss the Hamiltonian dynamics of general relativity with real connection variables on a null foliation, and use the Newman-Penrose formalism to shed light on the geometric meaning of the various constraints. We identify the equivalent of Sachs' constraint-free initial data as projections of connection components related to null rotations, i.e. the translational part of the ISO(2) group stabilising the internal null direction soldered to the hypersurface. A pair of second-class constraints reduces these connection components to the shear of a null geodesic congruence, thus establishing equivalence with the second-order formalism, which we show in details at the level of symplectic potentials. A special feature of the first-order formulation is that Sachs' propagating equations for the shear, away from the initial hypersurface, are turned into tertiary constraints; their role is to preserve the relation between connection and shear under retarded time evolution. The conversion of wave-like propagating equations into constraints is possible thanks to an algebraic Bianchi identity; the same one that allows one to describe the radiative data at future null infinity in terms of a shear of a (non-geodesic) asymptotic null vector field in the physical spacetime. Finally, we compute the modification to the spin coefficients and the null congruence in the presence of torsion.Comment: 23 pages + Appendix, 2 figures. v2: Improved text and some amendments throughout, added more details on the relation between 2+2 foliations and null tetrads, updated references. Version submitted for peer reviewing. v3: Few minor amendments, footnote added on a null congruence in the presence of torsion; matches published versio

Electro-optical sampling of quantum vacuum fluctuations in dispersive dielectrics

Electro-optical sampling has been recently used to perform spectrally-resolved measurements of electromagnetic vacuum fluctuations. In order to understand which information on the ground state of an interacting system can be acquired thanks to this technique, in this paper we will develop the quantum theory of electro-optical sampling in arbitrary dispersive dielectrics. Our theory shows that a measure of the time correlations of the vacuum fluctuations effectively implements an ellipsometry measurement on the quantum vacuum, allowing to access the frequency-dependent dielectric function. We discuss consequences of these results on the possibility to use electro-optical sampling to probe the population of ground-state virtual photons in the ultrastrong light-matter coupling regime