Discriminating between ν µ ↔ ν τ and ν µ ↔ ν sterile in atmospheric ν µ oscillations with the Super–Kamiokande detector. Abstract. A strong body of evidence now exists for atmospheric ν µ disappearance oscillations. Such disappearance could be explained by oscillations to either ν τ or a " sterile " neutrino (ν s). Super–Kamiokande uses three different methods to distinguish between these two s...

The calculation of QCD corrections beyond the leading logarithmic approximation for the short-distance dominated rare decay K → πνν̄ is summarized. This analysis requires the complete O(αs) corrections to the top contribution to all orders in the top-quark mass and a two-loop renormalization group (RG) calculation for the charm contribution. The inclusion of these QCD corrections reduces conside...

The Hilbert space of an RSOS-model, introduced by Andrews, Baxter, and Forrester, can be viewed as a space of sequences (paths) {a0, a1, . . . , aL}, with aj-integers restricted by 1 ≤ aj ≤ ν, | aj − aj+1 |= 1, a0 ≡ s, aL ≡ r. In this paper we introduce different basis which, as shown here, has the same dimension as that of an RSOS-model. This basis appears naturally in the Bethe ansatz calcula...

Active–sterile neutrino oscillations provide a mechanism by which large differences in the neutrino and antineutrino number densities can be created in the early universe. The quantum kinetic equations are employed in the study of these neutrino asymmetries, which, when solved analytically in the adiabatic limit, generate physically transparent evolution equations that are very useful for the u...

We present a simple scheme of mixing of four neutrinos that can accommodate the results of all neutrino oscillation experiments, the observed abundances of primordial elements and the current upper bound for the effective Majo-rana neutrino mass in neutrinoless double-β decay (assuming that massive neutrinos are Majorana particles). The scheme has maximal mixing in the ν µ , ν τ –ν 3 , ν 4 sect...

A new class of probability distributions closely connected to generalized hyperbolic is introduced. It better adapted for studying the sums a random number variables. The properties these are studied. seems that this may be useful modeling asset returns.

An explicit construction of simultaneous Padé approximations for generalized hypergeometric series and formulae for the quantities π √ d , d∈{1, 2, 3, 10005}, in terms of these series are used for estimates of irrationality measures of these multiples of π. Other possible applications are also discussed. Bibliography: 14 titles. Introduction An important role in the history of the Archimedes co...