This study is focused on the analysis of pore space connectivity in reservoir rocks. parameter vital importance for oil and gas industry since it controls hydraulic permeability. Five methods rock physics are used this goal. Three these (self-consistent version generalized singular approximation, Berryman self-consistent method, differential scheme) take into account implicitly. The other two m...

I shortly review the present status of the theoretical calculations of ε/ε and the comparison with the present experimental results. I discuss the role of higher order chiral corrections and in general of non-factorizable contributions for the explanation of the ∆I = 1/2 selection rule and direct CP violation in kaon decays. Still lacking satisfactory lattice calculations, analytic methods and ...

In this paper, we propose an efficient technique for solving some infinite-dimensional problems over the sets of functions of time. In our problem, besides the convex point-wise constraints on state variables, we have convex coupling constraints with finite-dimensional image. Hence, we can formulate a finite-dimensional dual problem, which can be solved by efficient gradient methods. We show th...

We derive semiclassical asymptotics for the orthogonal polynomials P n (z) on the line with respect to the exponential weight exp(−NV (z)), where V (z) is a double-well quartic polynomial, in the limit when n, N → ∞. We assume that ε ≤ (n/N) ≤ λ cr − ε for some ε > 0, where λ cr is the critical value which separates orthogonal polynomials with two cuts from the ones with one cut. Simultaneously...

We review the present theoretical status of the CP violating ratio ε/ε in the Standard Model (SM) and confront its estimates with the most recent data. In particular we review the present status of the most important parameters ms, B (1/2) 6 , B (3/2) 8 , Λ (4) MS and Ωη+η′ . While the sign and the order of magnitude of SM estimates for ε/ε agree with the data, for central values of these param...

We review the theory of ε/ε and present an updated phenomenological analysis using hadronic matrix elements from lattice QCD. The present status of the computation of ε/ε, considering various approaches to the matrix-element evaluation, is critically discussed. ⋆ based on the talks given by M.C. at “Les Rencontres de Physique de la Vallée d’Aoste”, La Thuile (Italy), 27 February–4 March 2000 an...

The long-distance contributions to K → 2π amplitudes can be pinned down, using well established Chiral Perturbation Theory techniques. The strong S–wave rescattering of the two final pions generates sizeable chiral loop corrections, which have an important impact on the direct CP violation ratio ε/ε [1,2]. Including all large logarithmic corrections, both at short and long distances, the Standa...