We discuss a formula for the sum of tree diagrams of n-bosons scattering from a heavy fermion. This formula can be considered as a generalization of the eikonal formula to include non-abelian vertices. It will be used to demonstrate the consistency of multi-meson-fermion scattering in the large-N c limit.

We discuss how to obtain the superpotential of the baryons and mesons for SU(N) gauge theories with N flavour matter fields from matrix integral. We apply the mean-field approximation for the matrix integral. Assuming the planar limit of the self-consistency equation, we show that the result almost agrees with the field theoretical result.

EVARIST GINÉ and DAVID M. MASON Department of Mathematics, University of Connecticut and Statistics Program, University of Delaware ABSTRACT. We apply recent results on local U–statistcs to obtain uniform in bandwidth consistency and central limit theorems for some commonly used estimators of integral functionals of density functions. key words: kernel density estimator, uniform in bandwidth, U...

We provide a point estimate for integrals on R, based on the standard Brownian motion. We prove the consistency of the estimator and limit theorems for the fluctuations. The proof relies on computing the distribution of the local time of a Brownian motion at a specific stopping time.

We study quadratically divergent radiative corrections to the oblique parameters at CERN LEP1 induced by non-standard vector boson self-couplings. We work in the Stückelberg formalism and regulate the divergences through a gauge-invariant higher derivative scheme. Using consistency arguments together with the data we find a limit on the anomalous magnetic moment ∆κ of the W-boson, |∆κ| ∼ < 0.26.

We study here a natural situation when constraint programming can be entirely reduced to rule-based programming. To this end we consider constraint satisfaction problems that are based on predeened, explicitly given constraints. To solve them we rst derive rules from these constraints and limit the computation process to a repeated application of these rules, combined with labeling. We consider...

BACKGROUND AND PURPOSE The Babinski Reflex, first described in 1896, is still an integral part of the neurological examination. Many have studied the consistency of this reflex, but none have compared the inter- and intra-observer consistency of the Babinski reflex and its variants. METHODS Thirty-four subjects were examined by six neurologists. The Babinski, Gordon, Chaddock, and Oppenheim r...

Background Typical imaging centers performing cardiovascular magnetic resonance (CMR) examinations involve staff rotating across a variety of procedures, which can limit consistency in proficiency and slow the incorporation of advanced cardiovascular protocols. We describe the design and implementation of a dedicated team to maximize efficiency, competency, and quality in a cardiovascular-dedic...

A general framework for proving relative consistency results with regard to supercompactness is developed. Within this framework we prove the relative consistency of the assertion that every set is ordinal definable with the statement asserting the existence of a supercompact cardinal. We also generalize Easton's theorem; the new element in our result is that our forcing conditions preserve sup...

We study leptonic and semi-leptonic decays of D and B mesons. Use of the Hopping Parameter Expansion (HPE) for two-point functions allows us continuously to vary the pseudoscalar mass from below mD up towards mB. We compute the pseudoscalar decay constants fD and fB, and observe consistency with the value calculated in the static limit. From the measurement of three-point functions we compute t...