We study the rare semileptonic and radiative leptonic B s decays in the universal extra dimension model. In this scenario, with a single extra dimension, there exists only one new parameter beyond those of the standard model, which is the inverse of the compactification radius R. We find that with the additional contributions due to the KK modes the branching ratios of the rare B s decays are e...

We present a search for Kaluza-Klein (KK) particles predicted by models with universal extra dimensions (UED) using a data set corresponding to an integrated luminosity of 7.3 fb(-1), collected by the D0 detector at a pp center-of-mass energy of 1.96 TeV. The decay chain of KK particles can lead to a final state with two muons of the same charge. This signature is used to set a lower limit on t...

Left restriction semigroups have appeared at the convergence of several flows of research, including the theories of abstract semigroups, of partial mappings, of closure operations and even in logic. For instance, they model unary semigroups of partial mappings on a set, where the unary operation takes a map to the identity map on its domain. This perspective leads naturally to dual and two-sid...

A polyadic space is a Hausdorff continuous image of some power of the onepoint compactification of a discrete space. We prove a Ramsey-like property for polyadic spaces which for Boolean spaces can be stated as follows: every uncountable clopen collection contains an uncountable subcollection which is either linked or disjoint. One corollary is that (ακ) is not a universal preimage for uniform ...

We show that the following instance of the principle of excluded middle holds: any function on the one-point compactification of the natural numbers with values on the natural numbers is either classically continuous or classically discontinuous. The proof doesn’t require choice and can be understood in any of the usual varieties of constructive mathematics. Classical (dis)continuity is a weake...

–a notion of amenability for topological semigroups is introduced. a topological semigroup s iscalled johnson amenable if for every banach s -bimodule e , every bounded crossed homomorphism froms to e* is principal. in this paper it is shown that a discrete semigroup s is johnson amenable if and only if1(s) is an amenable banach algebra. also, we show that if a topological semigroup s is johns...

We study two classes of operator algebras associated with a unital subsemigroup $P$ discrete group $G$: one related to universal structures, and co-universal structures. First we provide connections between C*-algebras that arise variously from isometric representations reflect the space $\mathcal{J}$ constructible right ideals, Fell bundles, induced partial actions. This includes appropriate q...

Jacobians of degenerating families curves are well-understood over 1-dimensional bases due to work Néron and Raynaud; the fundamental tool is model its description via Picard functor. Over higher-dimensional models typically do not exist, but in this paper we construct a universal base change ? ˜ g,n ?? ¯ after which N /? jacobian does exist. This yields new partial compactification moduli spac...

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. The class of models we consider includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We analyse the vacuum structure of the models,...

We discuss the phenomenology of (1, 1)-mode adjoint scalars in the framework of two Universal Extra Dimensions. The Kaluza-Klein (KK) towers of these adjoint scalars arise in the 4-dimensional effective theory from the 6th component of the gauge fields after compactification. Adjoint scalars can have KK-number conserving as well as KK-number violating interactions. We calculate the KK-number vi...