Factorization of the charge correlation function in B-0(B)over-bar(0) oscillations

Abstract

Extraction of the mass difference Delta m from B-0<(B)over bar (0)> oscillations involves tagging of bottom flavor st production and at decay. The charge correlation function is the asymmetry between the unmixed and mixed events. In their data using the lepton-jet-method, the ALEPH collaboration recently verified that this asymmetry factorizes into two parts, one depending on the production tag and the other on the decay tag. Except for this particular "verification", analyses of experiments on the time-dependence of been oscillations have been assuming this factorization, without statement or explanation of their assumption. We theoretically explain this factorization as arising from the neglect of terms which involve CP-violation in the second order.