Search for Violations of Lorentz Invariance and $CPT$ Symmetry in ${B}_{(s)}^{0}$ Mixing

Open Access

Search for Violations of Lorentz Invariance and $C P T$ Symmetry in $B_{(s)}^{0}$ Mixing

R. Aaij et al. (LHCb Collaboration)

Phys. Rev. Lett. 116, 241601 – Published 15 June 2016

Abstract

Violations of $C P T$ symmetry and Lorentz invariance are searched for by studying interference effects in $B^{0}$ mixing and in $B_{s}^{0}$ mixing. Samples of $B^{0} \to J / ψ K_{S}^{0}$ and $B_{s}^{0} \to J / ψ K^{+} K^{-}$ decays are recorded by the LHCb detector in proton-proton collisions at center-of-mass energies of 7 and 8 TeV, corresponding to an integrated luminosity of $3 {fb}^{- 1}$ . No periodic variations of the particle-antiparticle mass differences are found, consistent with Lorentz invariance and $C P T$ symmetry. Results are expressed in terms of the standard model extension parameter $Δ a_{μ}$ with precisions of $O (10^{- 15})$ and $O (10^{- 14}) GeV$ for the $B^{0}$ and $B_{s}^{0}$ systems, respectively. With no assumption on Lorentz (non)invariance, the $C P T$ -violating parameter $z$ in the $B_{s}^{0}$ system is measured for the first time and found to be $R e (z) = - 0.022 \pm 0.033 \pm 0.005$ and $I m (z) = 0.004 \pm 0.011 \pm 0.002$ , where the first uncertainties are statistical and the second systematic.

Received 16 March 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.241601

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