We present a recent analysis of ε′/ε in the 1/Nc expansion. We show that the 1/Nc corrections to the matrix element of Q6 are large and positive, indicating a ∆I = 1/2 enhancement similar to the one of Q1 and Q2 which dominate the CP conserving amplitude. This enhances the CP ratio and can bring the standard model prediction close to the measured value for central values of the parameters. Talk...

We update our 1993 analysis of the CP violating ratio ε/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass ms dependence of ε/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: −...

The total cross section for baryon number violating processes at high energies is usually parametrized as σtotal ∝ exp( α F (ε)), where ε = √ s/E0, E0 = √ 6πmw/α. In the present paper the third nontrivial term of the expansion F (ε) = −1 + 9 8 ε − 9 16 ε − 9 32 ( mh mw )2 ε log (

We define a finitary model of first-order Peano Arithmetic in which quantification is interpreted constructively in terms of Turing-computability, and show that it is inconsistent with the standard interpretation of PA. 1 Hilbert’s interpretation of quantification Hilbert interpreted quantification in terms of his ε-function as follows [Hi27]: IV. The logical ε-axiom 13. A(a)→ A(ε(A)) Here ε(A)...

Let F : X → X be a C 2 loc map in a Banach space X, and A be its Frèchet derivative at the element w := w ε , which solves the problem (*) ˙ w = −A −1 ε (F (w) + εw), w(0) = w 0 , where A ε := A + εI. Assume that A −1 ε ≤ cε −k , 0 < k ≤ 1, 0 < ε > ε 0. Then (*) has a unique global solution, w(t), there exists w(∞), and (* *) F (w(∞)) + εw(∞) = 0. Thus the DSM (Dynamical Systems Method) is just...