Using a combination of the operator product and heavy quark expansions, we resum the leading nonperturbative contributions to the inclusive photon spectrum in B → Xs γ decays. The shape of the spectrum is determined by a universal structure function, which describes the distribution of the light-cone momentum of the b-quark inside the B-meson. The moments of this function are proportional to fo...

We have calculated and statistically analyzed the magnetic-field spectrum (the “B-spectrum”) at fixed electron Fermi energy for two quantum dot systems with classically chaotic shape. This is a new problem which arises naturally in transport measurements where the incoming electron has a fixed energy while one tunes the magnetic field to obtain resonance conductance patterns. The “B-spectrum”, ...

Recently, Neubert has suggested that a certain class of nonperturbative corrections dominates the shape of the electron spectrum in the endpoint region of semileptonic B decay. Perturbative QCD corrections are important in the endpoint region. We study the effects of these corrections on Neubert’s proposal. The connection between the endpoint of the electron spectrum in semileptonic B decay and...

Let (V,B) be a DB(k, λ; v) and (W, C) be a DB(k′, λ′; v′). If V ⊂ W and C|V = B, i.e. B = {B : B ∈ C, B ⊂ V }, we call (V,B) is embedded in (W, C). In this paper, we estimate the embedding spectrum of DTS(v) when k = 3, k′ = 4, λ = λ′ = 1. We also determine the embedding spectrum of DTS(v) with small orders.

Using BABAR measurements of the inclusive electron spectrum in B → Xueν decays and the inclusive photon spectrum in B → Xsγ decays, we extract the magnitude of the CKM matrix element Vub. The extraction is based on several theoretical calculations designed to reduce the theoretical uncertainties by exploiting the assumption that the leading shape functions are the same for all b → q transitions...

The Conjugate Gradient (CG) method is an iterative algorithm for solving linear systems of equations Ax = b, where A is symmetric and positive de nite. The convergence of the method depends on the spectrum of A; when its eigenvalues are clustered, the method converges rapidly. In particular, CG converges to within a xed tolerance in O( √ κ), where κ = κ(A) = λmax(A)/λmin(A) is the spectral cond...

Using BABAR measurements of the inclusive electron spectrum in B → Xueν decays and the inclusive photon spectrum in B → Xsγ decays, we extract the magnitude of the CKM matrix element Vub. The extraction is based on several theoretical calculations designed to reduce the theoretical uncertainties by exploiting the assumption that the leading shape functions are the same for all b → q transitions...

analysis of a short echo time spectrum yielded the fitted baseline, spectrum of NAAG (a), glutamate (b), and macromolecule MM 20 (c). Figure 2. (a):An in vivo lineshape-deconvoluted TE-averaged spectrum. (b): the two Voigt-type peaks (red line) were fitted to the experimental spectrum from 1.8 to 2.2 ppm (black line). Quantitative Measurement of N-acetylaspartyl Glutamate (NAAG) at 3 Tesla Usin...

The main aim of this paper is to complete and improve the former results for the spectrum and …ne spectrum of the generalized di¤erence operator a;b over the sequence space c which were proved by the authors in [A.M. Akhmedov, S.R. El-Shabrawy, On the …ne spectrum of the operator a;b over the sequence space c, Comput. Math. Appl. 61 (2011) 2994-3002]. The improved results cover a wider class of...