Technical Design of a Detector (Solenoidal Detector) April 1, 1992 to be Operated at the Superconducting Super Collider

title: Measurement of B (tau- ---> tau-neutrino K- K0) and b (tau- ---> tau-neutrino K- K0 pi0)

title: Search for B ---> K lepton+ lepton- and B ---> K* lepton+ lepton- decays

title: Study of charmless hadronic B meson decays to pseudoscalar-vector final states.
abstract: We report results of searches for charmless hadronic B meson decays to pseudoscalar( pi(+/-), K+/-, pi(0), or K(0)(S))-vector( rho, K(*), or omega) final states. By using 9.7x10(6) BB pairs collected with the CLEO detector, we report the first observation of B(-)--->pi(-)rho(0), B(0)-->pi(+/-)rho(-/+), and B(-)-->pi(-)omega, which are expected to be dominated by hadronic b-->u transitions. The measured branching fractions are (10.4(+3.3)(-3.4)+/-2.1)x10(-6), (27.6(+8.4)(-7.4)+/-4.2)x10(-6), and (11.3(+3.3)(-2.9)+/-1. 4)x10(-6), respectively. Branching fraction upper limits are set for all of the other decay modes investigated.

title: Observation of radiative leptonic decay of the tau lepton
abstract: Using 4.68 fb(-1) of e(+)e(-) annihilation data collected with the CLEO II detector at the Cornell Electron Storage Ring, we have studied tau radiative decays tau(-)-->nu(tau)&mgr;(-)nu;(&mgr;)gamma and tau(-)-->nu(tau)e(-)nu;(e)gamma. For a 10 MeV minimum photon energy in the tau rest frame, the branching fraction for radiative tau decay to a muon or electron is measured to be (3.61+/-0.16+/-0. 35)x10(-3) or (1.75+/-0.06+/-0.17)x10(-2), respectively. The branching fractions are in agreement with standard model theoretical predictions.

title: Measurement of Cabibbo-suppressed decays of the tau lepton.
abstract: Branching ratios for the dominant Cabibbo-suppressed decays of the [tau] lepton have been measured by CLEO II in [ital e][sup +][ital e][sup [minus]] annihilation at the Cornell Electron Storage Ring ([radical][ital s] [similar to]10.6 GeV) using kaons with momenta below 0.7 GeV/[ital c]. The inclusive branching ratio into one charged kaon is (1.60[plus minus]0.12[plus minus]0.19)%. For the exclusive decays, [ital B]([tau][sup [minus]][r arrow][ital K][sup [minus]][nu][sub [tau]])=(0.66[plus minus]0.07[plus minus]0.09)%, [ital B]([tau][sup [minus]][r arrow][ital K][sup [minus]][pi][sup 0][nu][sub [tau]])=(0.51 [plus minus]0.10[plus minus]0.07)%, and, based on three events, [ital B]([tau][sup [minus]][r arrow][ital K][sup [minus]]2[pi][sup 0][nu][sub [tau]])[lt]0.3% at the 90% confidence level. These represent significant improvements over previous results. ) is measured for the first time with exclusive [pi][sup 0] reconstruction.

title: The Differential Geometry of Fedosov’s Quantization
abstract: B. Fedosov has given a simple and very natural construction of a deformation quantization for any symplectic manifold, using a flat connection on the bundle of formal Weyl algebras associated to the tangent bundle of a symplectic manifold. The connection is obtained by affinizing, nonlinearizing, and iteratively flattening a given torsion free symplectic connection. In this paper, a classical analog of Fedosov’s operations on connections is analyzed and shown to produce the usual exponential mapping of a linear connection on an ordinary manifold. A symplectic version is also analyzed. Finally, some remarks are made on the implications for deformation quantization of Fedosov’s index theorem on general symplectic manifolds.

title: The PEP-II Project-Wide Database
abstract: The PEP-II Project Database is a tool for monitoring the technical and documentation aspects of this accelerator construction. It holds the PEP-II design specifications, fabrication and installation data in one integrated system. Key pieces of the database include the machine parameter list, magnet and vacuum fabrication data, CAD drawings, publications and documentation, survey and alignment data, and property control. The database can be extended to contain information required for the operations phase of the accelerator and detector. Features such as viewing CAD drawing graphics from the database will be implemented in the future. This central Oracle database on a UNIX server is built using Oracle*Case tools. Users at the three collaborating laboratories (SLAC, LBL, LLNL) can access the data remotely, using various desktop computer platforms and graphical interfaces.

title: Classical Theta Functions and Quantum Tori
abstract: The Schwartz kernel of the multiplication operation on a quantum torus is shown to be the distributional boundary value of a classical multivariate theta function. The kernel satisfies a Schrodinger equation in which the role of time is played by the deformation parameter 11 and the role of the hamiltonian by a Poisson structure. At least in some special cases, the kernel can be written as a sum of products of single variable theta functions. A quantum torus is, by definition, a "space" whose (noncommutative) algebra of functions is obtained by deformation of the (commutative) algebra of functions on a torus (R/Zy. In this note, we observe that the Schwartz kernels of the multiplication operators for a class of quantum tori are the (distributional) boundary values of classical theta functions, and we draw some conclusions from this observation. In particular, we show that each of these kernels satisfies a Schrodinger equation, in which the role of time is played by the deformation parameter h, and the role of the hamiltonian is played by the Poisson structure associated with the deformation. Thus, the "evolution in Plank's constant" of a torus is like the time evolution of a free particle, with the initial state (the Schwartz kernel of the operator of pointwise multiplication) being a delta function, like the initial state of a particle with certain position and totally uncertain momentum. This evolution equation suggests a possible answer to the question of how a deformed product must behave after the deformation parameter h has left the first infinitesimal neighborhood of zero. We note that our work seems to be quite different from Manin's study  of quantum theta functions, which are special functions on the quantum tori themselves. Communicated by T. Kawai, September 13, 1993.  Research partially supported by NSF Grant DMS-93-09653.

title: Group-like objects in Poisson geometry and algebra
abstract: A group, defined as set with associative multiplication and inverse, is a natural structure describing the symmetry of a space. The concept of group generalizes to group objects internal to other categories than sets. But there are yet more general objects that can still be thought of as groups in many ways, such as quantum groups. We explain some of the generalizations of groups which arise in Poisson geometry and quantization: the germ of a topological group, Poisson Lie groups, rigid monoidal structures on symplectic realizations, groupoids, 2-groups, stacky Lie groups, and hopfish algebras.

title: Detection of VER J2019+407 (G78.2+2.1) and Tycho's Supernova Remnant with VERITAS