How Devious are Deviations From Quantum Mechanics: The Case of the B0 B0 System
Abstract
Considering semileptonic decays of the entangled B0 B0 state which is generated in the decay of Upsilon(4S), we simply multiply the quantum-mechanical interference term by a factor (1-ζ) and use the ``decoherence parameter'' ζ as a measure for deviations from quantum mechanics. We investigate several consequences of this modification of semileptonic B0 B0 decays. In particular, we show that when confronted with the experimental values of the ratio R=(# like-sign dilepton events)/(# opposite-sign dilepton events) and of the BH--BL mass difference, the ensuing one standard deviation range of the decoherence parameter depends strongly on the basis in the B0-- B0 space used to build the entangled B0 B0 state. On the other hand, in quantum mechanics physical quantities are, of course, independent of such arbitrary basis choices.
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