Study of Rare B Meson Decays at Belle

In this paper, we briefly review results on rare decays of $B$ mesons from the Belle experiment, based on 10.4 fb$^{-1}$ data collected on the $\Upsilon$(4S) resonance. The topics include measurements of Cabibbo suppressed decays $B \to D^{(*)} K^{(*)}$, charmless two-body decays $B \to \pi\pi$, $K\pi$, $KK$ and $B \to \eta^{'} h (h = K^+, \pi^+, K^0)$, and a search for flavor changing neutral current decays $B \to K^{(*)} \ell^{+} \ell^{-}$.Comment: 21 pages, 8 figures, Contribution to the Proceedings of the 4th International Workshop on B Physics and CP Violation (BCP4), February 19-23, 2001, Ise-Shima, Japa

The inverse loop transform

The loop transform in quantum gauge field theory can be recognized as the Fourier transform (or characteristic functional) of a measure on the space of generalized connections modulo gauge transformations. Since this space is a compact Hausdorff space, conversely, we know from the Riesz-Markov theorem that every positive linear functional on the space of continuous functions thereon qualifies as the loop transform of a regular Borel measure on the moduli space. In the present article we show how one can compute the finite joint distributions of a given characteristic functional, that is, we derive the inverse loop transform.Comment: 15 pages, Late

Mixed-type functional differential equations: A numerical approach

This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Journal of computational and applied mathematics and is available at www.elsevier.comThis preprint discusses mixed-type functional equations

Exceptional geometry and tensor fields

We present a tensor calculus for exceptional generalised geometry. Expressions for connections, torsion and curvature are given a unified formulation for different exceptional groups E_n(n). We then consider "tensor gauge fields" coupled to the exceptional generalised gravity. Many of the properties of forms on manifolds are carried over to these fields.Comment: 22 pp., plain tex. v3: improved reference

New Charm Results from Focus

New results from the photoproduction experiment FOCUS are reported: Dalitz plot analysis, semileptonic form factor ratios and excited meson spectroscopy.Comment: 8 pages, 5 figures, Frascati preprint style lnfprep.sty (included). Presented by S.Bianco at the 18th Rencontres de Physique de la Vallee d'Aoste 29 February-6 March, La Thuile, Vallee d'Aoste, Italy. Frascati preprint LNF-04/14(P), Fermilab preprint FERMILAB-CONF-04-372-