Effects of the CP Odd Dipole Operators on Gluino Production at Hadron Colliders

We present the cross sections for the hadroproduction of gluinos by taking into account the CP odd dipole operators in supersymmetric QCD. The dependence of the cross sections on these operators is analyzed for the hadron colliders the Tevatron ($\sqrt S$=1.8 TeV) and the Cern LHC ($\sqrt{S}$=14 TeV). The enhancement of the hadronic cross section is obviously mass dependent and for a 500 GeV gluino, is up to 16 % (over 73 pb) at the LHC while it is 8 % (over 0.63 fb) at the Tevatron.Comment: 13 pages, 6 figures and 4 table

Single and pair production of heavy leptons in E6E_6 model

We investigate the single and pair production of new heavy leptons via string inspired $E_{6}$ model at future linear colliders. Signal and corresponding backgrounds for these leptons are studied. We have found that single production of heavy leptons is more relevant than that of pair production, as expected. For a maximal mixing value of 0.1, the upper mass limits of 2750 GeV in the single case and 1250 GeV in the pair production case are obtained at $\sqrt{s}=3$ TeV collider option.Comment: 14 pages, 10 figure

The E-theoretic descent functor for groupoids

The paper establishes, for a wide class of locally compact groupoids $\Gamma$, the E-theoretic descent functor at the $C^{*}$-algebra level, in a way parallel to that established for locally compact groups by Guentner, Higson and Trout. The second section shows that $\Gamma$-actions on a $C_{0}(X)$-algebra $B$, where $X$ is the unit space of $\Gamma$, can be usefully formulated in terms of an action on the associated bundle $B^{\sharp}$. The third section shows that the functor $B\to C^{*}(\Gamma,B)$ is continuous and exact, and uses the disintegration theory of J. Renault. The last section establishes the existence of the descent functor under a very mild condition on $\Gamma$, the main technical difficulty involved being that of finding a $\Gamma$-algebra that plays the role of C_{b}(T,B)^{cont}$ in the group case.Comment: 21 page

The Fourier algebra for locally compact groupoids

We introduce and investigate using Hilbert modules the properties of the Fourier algebra A(G) for a locally compact groupoid G. We establish a duality theorem for such groupoids in terms of multiplicative module maps. This includes as a special case the classical duality theorem for locally compact groups proved by P. Eymard.Comment: 31 page