Status and prospects for CPT and Lorentz invariance violation searches in neutral meson mixing

An overview of current experimental bounds on CPT violation in neutral meson mixing is given. New values for the CPT   asymmetry in the B0B0 and Bs0 systems are deduced from published BaBar, Belle and LHCb results. With dedicated analyses, LHCb will be able to further improve the bounds on CPT   violation in the D0D0, B0B0 and Bs0 systems. Since CPT violation implies violation of Lorentz invariance in an interacting local quantum field theory, the observed CPT asymmetry will exhibit sidereal- and boost-dependent variations. Such CPT  -violating and Lorentz-violating effects are accommodated in the framework of the Standard Model Extension (SME). The large boost of the neutral mesons produced at LHCb results in a high sensitivity to the corresponding SME coefficients. For the B0B0 and Bs0 systems, using existing LHCb results, we determine with high precision the SME coefficients that are not varying with sidereal time. With a full sidereal analysis, LHCb will be able to improve the existing SME bounds in the D0D0, B0B0 and Bs0 systems by up to two orders of magnitude.