I shortly review the present status of the theoretical estimates of ε/ε . I consider a few aspects of the theoretical calculations which may be relevant in understanding 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 in kaon decays and ε/ε . Lacking reliab...

We study monotonicity testing of Boolean functions over the hypergrid [n] and design a nonadaptive tester with 1-sided error whose query complexity is Õ(d) ·poly(log n, 1/ε). Previous to our work, the best known testers had query complexity linear in d but independent of n. We improve upon these testers as long as n = 2 o(1) . To obtain our results, we work with what we call the augmented hyper...

Lattice calculations of matrix elements relevant for kaon decays, and in particular for ε/ε, are reviewed. The rôle of the strange quark mass is also discussed. A comparison with other non-perturbative approaches used to compute kaon decay amplitudes is made. † Presented by G. Martinelli.

The present theoretical status of the parameter for direct CP violation ε/ε in the Standard Model is reviewed and compared with most recent experimental measurements of the same quantity. After collecting the basic expressions for ε/ε, the situation of hadronic matrix element calculations is summarised. The matrix elements constitute the dominant source of uncertainty for theoretical determinat...

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 many practical situations, indifference is intransitive. This led Luce (1956) to base a preference model on the following principle: an alternative is judged better than another one only if the utility value of the first alternative is significantly higher than the value of the second alternative. Here, ‘significantly higher’ means higher than the value augmented by some constant threshold. ...

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...