On the Noncommutativity Approach to Supersymmetry on the Lattice

The noncommutativity approach to SUSY on the lattice is shown to be inconsistent and a similar inconsistency is displayed for the link approach.Comment: 3 pages; talk presented by FB at "Quark Confinement and the Hadron Spectrum VII", September 2-7, 2006, Ponta Delgada, Azores, Portuga

Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency

It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and explicitly for that system, as well as for the Abelian super BF model.Comment: 8 pages, typo's corrected, conclusions unchange

A Critique of the Link Approach to Exact Lattice Supersymmetry

We examine the link approach to constructing a lattice theory of N=2 super Yang Mills theory in two dimensions. The goal of this construction is to provide a discretization of the continuum theory which preserves all supersymmetries at non-zero lattice spacing. We show that this approach suffers from an inconsistency and argue that a maximum of just one of the supersymmetries can be implemented on the lattice.Comment: 7 page

Electric Dipole Moment Constraints on Phases in the Constrained MSSM

We consider constraints on \cp-violating phases in the Constrained Minimal Supersymmetric Standard Model. We find that by combining cosmological limits on gaugino masses with experimental bounds on the neutron and electron electric dipole moments, we can constrain the phase of the Higgs mixing mass $\mu$ to be $|\theta_\mu| < \pi/10$, independent of choices of the other mass parameters in the model. The other \cp-violating phase $\theta_A$ is essentially unconstrained.Comment: 10 pages in LaTeX + 3 postscript figures, uses epsf.st

Analyticity and the Isgur-Wise Function

We reconsider the recent derivation by de Rafael and Taron of bounds on the slope of the Isgur-Wise function. We argue that one must be careful to include cuts starting below the heavy meson pair production threshold, arising from heavy quark-antiquark bound states, and that if such cuts are properly accounted for then no constraints may be derived.Comment: 8 pages, uses harvmac, SLAC-PUB-5956, UCSD/PTH 92-35, CALT-68-183

B Meson Transitions into Higher Mass Charmed Resonances

We use QCD sum rules to estimate the universal form factors describing the semileptonic B decays into excited charmed resonances, such as the $1^-$ and $2^-$ states $D_1^{*}$ and $D_2^{*}$ belonging to the $s_\ell^P={3/2}^-$ heavy quark doublet, and the $2^-$ and $3^-$ states $D_2^{*\prime}$ and $D_3$ belonging to the s_\ell^P={5\2}^- doublet.Comment: LaTex, 14 pages, 1 figur

Two-Loop Relations for Heavy-Quark Parameters in the Shape-Function Scheme

Moments of the renormalized B-meson shape function provide a natural way to define short-distance, running heavy-quark parameters such as the b-quark mass and kinetic energy. These parameters are particularly well suited for studies of inclusive decay distributions. The definitions of m_b and mu_pi^2 in this ``shape-function scheme'' are derived to two-loop order. Using previous determinations of heavy-quark parameters in other schemes, we find m_b=(4.63+-0.08) GeV and mu_\pi^2=(0.15+-0.07) GeV^2 at a reference scale of 1.5 GeV.Comment: 10 pages, 1 figure. Two-loop shape-function anomalous dimension corrected; minor numerical changes. Version to appear in Physics Letters

Study of the Reactions B→D∗ππB \to D^* \pi \pi and B→D∗ρπB \to D^* \rho \pi

We evaluate the non leptonic decays $B \to D^* \pi \pi$ and $B \to D^* \rho \pi$ in the limit of infinitely heavy quarks, assuming the dominance of intermediate positive parity charmed resonances. We find that the branching ratios are of the order $10^(-3)$.Comment: 9 pages, LaTex, BARI-TH/92-13

Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors

We derive new bounds on the b-number form factor $F(q^2)$ of the B meson. (Revised version of hep-ph/9306214).Comment: 22 page