331 research outputs found
Closing the light gluino window
The running of the strong coupling constant, and is
studied on the three-loop level. Based on experimental data of
and and the LEP multijet analysis, the light gluino scenario is
excluded to 99.97% CL (window I) and 99.89% CL (window III).Comment: 7 pages, 6 figures, talk at HEP97, Jerusale
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body
Let be a convex body in , let , and let
be a positive and continuous probability density function with
respect to the -dimensional Hausdorff measure on the boundary of . Denote by the convex hull of points chosen randomly and
independently from according to the probability distribution
determined by . For the case when is a submanifold
of with everywhere positive Gauss curvature, M. Reitzner proved an
asymptotic formula for the expectation of the difference of the th intrinsic
volumes of and , as . In this article, we extend this
result to the case when the only condition on is that a ball rolls freely
in
- âŠ