The measurement of sin(2beta) is the first signal for CP violation outside the neutral kaon system. The precision measurement of its value is the corner stone in establishing the CKM mechanism for CP violation. The success of CKM mechanism resulted in Nobel Prize for physics in 2008. Quantum coherence plays a crucial role in the determination of many such observables in neutral meson systems. However, any real system interacts with its environment and this interaction can lead to a loss of quantum coherence. The environmental effects may arise at a fundamental level, such as the fluctuations in quantum gravity space-time background, or it can be the detector background itself.
Decoherence is an unavoidable phenomenon as any physical system is inherently open due to its inescapable interactions with a pervasive environment. With the inclusion of the decoherence effects, in arXiv:1504.02893, we show that the measured values of sin(2beta) along with Delta md which is used as an input to determine sin(2beta) can get masked ! We also suggest a number of methods which will enable clean determination of the decoherence parameter along with these observables quite easily at the LHC or B-factories.
Thus we would hope that these ideas will open the doors for probing some very fundamental aspects of nature such as quantum gravity background by measuring observables in flavor physics which are mainly used to probe new physics models beyond SM.