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...

and Applied Analysis 3 Given x, λ, μ, c , the augmented Lagrangian relaxation problem associated with the augmented Lagrangian L is defined by min L ( x, λ, μ, c ) s.t. x ∈ Ω. Lλ,μ,c Given ε ≥ 0, then the ε-optimal solution set of Lλ,μ,c , denoted by S∗ λ, μ, c, ε , is defined as { x ∈ Ω | Lx, λ, μ, c ≤ inf x∈Ω L ( x, λ, μ, c ) ε } . 2.2 IfΩ is closed and bounded, then the global optimal soluti...

During the epidemic outbreak period, number of infected people increased explosively. In order to effectively contain further spread and treat people, it is necessary make reasonable planning for treatment distribution materials. this paper, a multi-objective mixed-integer programming model integrated design emergency medical material networks developed, in which location points, allocation mat...