G.V. Dass

Testing CPT invariance by using C-even neutral-meson-antimeson correlated states

We consider the decays of a correlated neutral-meson-antimeson state with C-parity +1. We show that there is CPT noninvariance in the mixing of the neutral mesons if, for any two decay modes f and g, the decay rate has a component RA which is antisymmetric under the interchange of the decay times t1 and t2. In particular, one may cleanly extract the CPT-noninvariance parameter with the help of RA by using opposite-sign dilepton events.

Testing the Weisskopf–Wigner approximation by using neutral-meson–antimeson correlated states

Abstract We phenomenologically decompose the Weisskopf–Wigner approximation, as applied to the neutral flavoured meson (M0) complexes, into three pieces and propose tests for these pieces. Our tests hold for general decay amplitudes and M0– M 0 mixing parameters. We concentrate on C-odd M 0 M 0 states and stress the importance of such tests in view of the variety of physics extracted from measurements on such complexes. Studying the feasibility of the tests confines one to the K 0 K 0 system at present. In particular, we show that the time dependence of the correlated decay φ→K 0 K 0 →2(π + π − ) is determined solely by the WWA and provides thus a clean test of it.

CP-violating correlations between lepton-charge and jet-charge in Z→bb̄ events

Abstract Correlations that signal direct CP violation in the bottom sector are suggested. They need data on Z→b b events which consist of a bottom hadron decay into an exclusive semileptonic channel h l ν (where h is a hadron), and the other bottom hadron decay into a multi-body final state that manifests as a jet in the opposite hemisphere. Replacing “ hlν ” by inclusive lepton decay of bottom hadrons allows more data. Even then, the signal may be “too small”, as crudely estimated. With better future estimates, the suggested experiments may reveal important new Physics.

Orthogonality of independently propagating states as occurring in the Lee-Oehme-Yang theory

We generalize a theorem by Khalfin, originally derived for the states

Two-particle correlations and meson-antimeson mixing effects

| F_1 > = | M^0>

On some tests of the basic properties of the neutral weak interaction. I. With massless neutrinos

,

Relations between neutrino and antineutrino locality theorems as tests of Lorentz structure of the neutral weak interaction

| F_2 > = |\bar M^0>

Neutrino Oscillations and the Atmospheric Neutrino Fluxes

, where

Test of superposition

M^0

K0 K-bar 0 transitions in matter.

is a neutral flavoured meson (e.g.,