The RR-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM

The $B-L$ MSSM is the MSSM with three right-handed neutrino chiral multiplets and gauged $B-L$ symmetry. The $B-L$ symmetry is broken by the third family right-handed sneutrino acquiring a VEV, thus spontaneously breaking $R$-parity. Within a natural range of soft supersymmetry breaking parameters, it is shown that a large and uncorrelated number of initial values satisfy all present phenomenological constraints; including the correct masses for the $W^{\pm}$, $Z^0$ bosons, having all sparticles exceeding their present lower bounds and giving the experimentally measured value for the Higgs boson. For this "valid" set of initial values, there are a number of different LSPs, each occurring a calculable number of times. We plot this statistically and determine that among the most prevalent LSPs are chargino and neutralino mass eigenstates. In this paper, the $R$-parity violating decay channels of charginos and neutralinos to standard model particles are determined, and the interaction vertices and decay rates computed analytically. These results are valid for any chargino and neutralino, regardless of whether or not they are the LSP. For chargino and neutralino LSPs, we will-- in a subsequent series of papers --present a numerical study of their RPV decays evaluated statistically over the range of associated valid initial points.Comment: 62 pages, 12 figures, added references in section 1, corrected some calculation error

Turbulent spectra in real-time gauge field evolution

We investigate ultraviolet fixed points in the real-time evolution of non-Abelian gauge fields. Classical-statistical lattice simulations reveal equal-time correlation functions with a spectral index 3/2. Analytical understanding of this result is achieved by employing a 2PI- loop expansion for the quantum theory.Comment: 4 pages, 2 figures. Talk presented at SEWM 2008, August 26-29, Amsterda

Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory B−LB-L MSSM

The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the $B-L$ MSSM theory is reviewed, including a discussion of the "bundle" constraints that both the observable sector $SU(4)$ vector bundle and the a hidden sector bundle induced from a line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of K\"ahler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent $F$-terms due to a gaugino superpotential - which spontaneously break $N=1$ supersymmetry in this sector - is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in K\"ahler moduli space that satisfy all "bundle" constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.Comment: v2: typos corrected; 58 pages, 7 figure

Hidden Sectors from Multiple Line Bundles for the B−LB-L MSSM

We give a formalism for constructing hidden sector bundles as extensions of sums of line bundles in heterotic $M$-theory. Although this construction is generic, we present it within the context of the specific Schoen threefold that leads to the physically realistic $B-L$ MSSM model. We discuss the embedding of the line bundles, the existence of the extension bundle, and a number of necessary conditions for the resulting bundle to be slope-stable and thus $N=1$ supersymmetric. An explicit example is presented, where two line bundles are embedded into the $SU(3)$ factor of the $E_{6} \times SU(3)$ maximal subgroup of the hidden sector $E_{8}$ gauge group, and then enhanced to a non-Abelian $SU(3)$ bundle by extension. For this example, there are in fact six inequivalent extension branches, significantly generalizing that space of solutions compared with hidden sectors constructed from a single line bundle.Comment: 51 pages, 5 figure

The Strongly Coupled E8xe8 Heterotic String: Geometry & Phenomenology

Working within the context of the strongly coupled E8 x E8 heterotic string theory, we analyze the B-L MSSM, a realistic supersymmetric extension of the Standard Model, from both a low-energy phenomenologyand high-energy string perspective. From a formal point of view, we examine different constructions of string vacua, which satisfy a series of theoretical and phenomenological constraints. Such vacua configurations are anomaly-free, preserve N = 1 SUSY at the compactification scale and yield the correct value for the SO(10) unification scale and gauge coupling in the visible particle sector. Furthermore, we analyze a possible SUSY-breaking mechanism for the type of vacua we construct, via gaugino condensation in the hidden sector. In an attempt to connect these findings to experiment, we study the prospects of detecting the B-L MSSM at the LHC in the near future. Within this specific context, we show that R-parity violating decays of supersymmetric particles could be amenable to direct detection at the ATLAS and CMS detectors. Detection of these processes would not only be an explicit indication of Beyond the Standard Model physics, but would also hint strongly at the existence of N=1 SUSY with spontaneously broken R-parity

Semantics-Preserving Implementation of Synchronous Specifications Over Dynamic TDMA Distributed Architectures

International audienceWe propose a technique to automatically synthesize programs and schedules for hard real-time distributed (embedded) systems from synchronous data-flow models. Our technique connects the SynDEx scheduling tool and the Network Code toolchain in a seamless flow of automatic model transformations that go all the way from specification to implementation. Our contribution is the non-trivial connection between the models manipulated by SynDEx and by the Network Code toolchain, at both formal and tool level. We provide an algorithm for converting the data-dependent schedule tables output by SynDEx into Network Code programs which can be seen as an ``assembly code'' level for time-driven distributed real-time systems. The main difficulty is to ensure the preservation of both functionality and the real-time guarantees computed by SynDEx in the presence of clock drifts (which are abstracted away in the scheduling model of SynDEx). Existing tools can convert the resulting Network Code programs into software and hardware-accelerated execution units.Nous proposons une technique pour la synthèse automatique de programmes et ordonnancements pour des systèmes temps-réel (embarqués) distribués, à partir de spécifications synchrones flot de données