One of the main goals of the LHC will be the search of the Higgs boson, the only piece of the otherwise thoroughly tested Standard Model (SM) of which we miss experimental evidence. Regardless of the existence of the Higgs boson, LHC will likely shed light on the physics Beyond-the-SM (BSM), which should be within reach, as LEP results and solar and atmospheric neutrino data suggest. In this co...

To follow the dynamicity of the user’s content, researchers have recently started to model interactions between users and the ContextAware Recommender Systems (CARS) as a bandit problem where the system needs to deal with exploration and exploitation dilemma. In this sense, we propose to study the freshness of the user’s content in CARS through the bandit problem. We introduce in this paper an ...

We investigate the dynamics of a boson gas with three-body interactions in dimensions d = 1, 2. We prove that in the limit where the particle number N tends to infinity, the BBGKY hierarchy of k-particle marginals converges to a limiting (Gross-Pitaevskii (GP)) hierarchy for which we prove existence and uniqueness of solutions. The solutions of the GP hierarchy are shown to be determined by sol...

he standard model unifies the electromagnetic and weak interactions into a single framework that requires that the electroweak symmetry of the unified theory is broken at low energies. In the standard model, this is accomplished through the Higgs mechanism. Beyond generating the requisite symmetry breaking, this mechanism also produces a heavy spin 0 particle, the Higgs bo-son. Observation of t...

In contrast to the old heterotic string case, the (weakly coupled) type I brane framework allows to have all, part or none of the standard model gauge group factors propagating in large extra–dimensions of TeV size. We investigate the main experimental signatures of these possibilities, related to the production of Kaluza-Klein excitations of gluons and electroweak gauge bosons. A discovery thr...

We study the impact of coupling neutrinos with a new light neutral gauge boson, $Z^\prime$, mass less than 500 {\rm MeV} in FASER$\nu$ experiment. Scenarios which boson is coupled to are motivated within numerous contexts designed explain various anomalies particle physics and cosmology. This interaction leads decay mode for charged mesons lepton plus neutrino $Z^{\prime}$, ($\pi^+(K^+)\to e^+ ...

The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy required to predict energies clusters with an arbitrary number bosons. Whether this correlation between three- and many-boson still holds for two species bosons which inter-species interaction resonant depends on how many particles each are in system. For few-body $A$ $B$ a $...

The equivalence of correct Hamiltonian and naive Lagrangian (Faddeev–Popov) path integral quantization (Matthews’s theorem) is proven for gauge theories with arbitrary effective interaction terms. Effective gauge-boson self-interactions and effective interactions with scalar and fermion fields are considered. This result becomes extended to effective gauge theories with higher derivatives of th...

The theory including interaction between Siegel and gauge multiplets leads to the model of nonbreaking supersymmetry which contains massive scalar, fourcomponent fermion and gauge fields. The upper bound of Higgs boson mass is estimated as heavest fermion mass. The idea to replace Higgs field by scalar superpartner or by auxiliary fields of corresponding supermultiplet is discussed. [email protected]...