Abstract
With the advent of Belle II and the LHCb upgrade, the precision measurements of various B-Physics observables are on cards. This holds significant potential for delving into physics beyond the standard model of electroweak interactions. These measurements can also serve as means to establish limits on phenomena occurring at much finer length scales, such as quantum decoherence, which may arise due to potential discreteness in space-time or non-trivial topological effects. In this work, we set up the formalism to investigate the impact of quantum decoherence on several potential observables in B meson systems. The approach employs the trace-preserving Kraus operator formalism, extending unitary evolution to non-unitary dynamics while maintaining complete positivity. In this formalism, the decoherence effects are parametrized in terms of a single parameter. Through the analysis of purely leptonic, semileptonic, and non-leptonic decays of B mesons, we identify observables that could, in principle, be influenced by decoherence. The theoretical expressions are provided without neglecting the impact of decay width difference (∆Γ) and CP violation in mixing. Considering that many of these observables can be measured with high precision using the abundant data collected by LHCb and Belle II, our formalism can be applied to establish constraints on the decoherence parameter through multiple decay channels. This offers an alternative set-up for such studies, which, at present, are predominantly conducted in the neutrino sector.
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Acknowledgments
A. K. Alok would like to thank Subir Sarkar for useful suggestions and discussions. S. Uma Sankar acknowledges fruitful discussions with Arantxa Oyenguren and Karim Trabelsi. Additionally, A. K. Alok and S. Uma Sankar extend their thanks to the CERN Theory Division (CERN-TH) for their hospitality, where a part of this work was carried out.
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Alok, A.K., Banerjee, S., Chundawat, N.R.S. et al. Probing quantum decoherence at Belle II and LHCb. J. High Energ. Phys. 2024, 124 (2024). https://doi.org/10.1007/JHEP05(2024)124
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DOI: https://doi.org/10.1007/JHEP05(2024)124