16,472 research outputs found
Measuring WWZ and WWgamma coupling constants with Z-pole data
Triple gauge boson couplings between Z, gamma and the W boson are determined
by exploiting their impact on radiative corrections to fermion-pair production
in e+e- interactions at centre-of-mass energies near the Z-pole. Recent values
of observables in the electroweak part of the Standard model are used to
determine the four parameters epsilon_1, epsilon_2, epsilon_3 and epsilon_b. In
a second step the results on the four epsilon parameters are used to determine
the couplings Delta-g^1_Z and Delta-kappa_gamma. For a wide range of scales,
these indirect coupling measurements are more precise than recent direct
measurements at LEP 2 and at the TEVATRON. The Standard model predictions agree
well with these measurements.Comment: 6 pages, 2 tables, 4 figure
Information Technology and Legal Ethics: Expanding the Teaching and Understanding of Legal Ethics Through the Creation of a New Generation of Electronic Reference Materials
Cramton and Martin present a very brief summary of the inward-looking elements of the Cornell Law School prorgam to improve the basic required course in professional ethics and to encourage the pervasive teaching of the subject throughout the law curriculum. The Cornell program focuses on the preparation and dissemination of electronic material on legal ethics on a state-by-state basis
Sobolev metrics on shape space of surfaces
Let and be connected manifolds without boundary with , and let compact. Then shape space in this work is either the
manifold of submanifolds of that are diffeomorphic to , or the orbifold
of unparametrized immersions of in . We investigate the Sobolev
Riemannian metrics on shape space: These are induced by metrics of the
following form on the space of immersions: G^P_f(h,k) = \int_{M} \g(P^f h,
k)\, \vol(f^*\g) where \g is some fixed metric on , f^*\g is the
induced metric on , are tangent vectors at to
the space of embeddings or immersions, and is a positive, selfadjoint,
bijective scalar pseudo differential operator of order depending smoothly
on . We consider later specifically the operator , where
is the Bochner-Laplacian on induced by the metric . For
these metrics we compute the geodesic equations both on the space of immersions
and on shape space, and also the conserved momenta arising from the obvious
symmetries. We also show that the geodesic equation is well-posed on spaces of
immersions, and also on diffeomorphism groups. We give examples of numerical
solutions.Comment: 52 pages, final version as it will appea
Pseudoriemannian metrics on spaces of bilinear structures
The space of all non degenerate bilinear structures on a manifold carries
a one parameter family of pseudo Riemannian metrics. We determine the geodesic
equation, covariant derivative, curvature, and we solve the geodesic equation
explicitly. Each space of pseudo Riemannian metrics with fixed signature is a
geodesically closed submanifold. The space of non degenerate 2-forms is also a
geodesically closed submanifold. Then we show that, if we fix a distribution on
, the space of all Riemannia metrics splits as the product of three spaces
which are everywhere mutually orthogonal, for the usual metric. We investigate
this situation in detail
Uniqueness of the Fisher-Rao metric on the space of smooth densities
MB was supported by ‘Fonds zur F¨orderung der wissenschaftlichen Forschung, Projekt P 24625’
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