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

Abstract

An overview of current experimental bounds on $CPT$ violation in neutral meson mixing is given. New values for the $CPT$ asymmetry in the $B^0$ and $B_s^0$ 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 $D^0$, $B^0$ and $B_s^0$ 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 $B^0$ and $B_s^0$ 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 $D^0$, $B^0$ and $B_s^0$ systems by up to two orders of magnitude.

arXiv comment12 pages

References in corpus (34)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Big-Bang Nucleosynthesis
• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• CPT, Strings, and Meson Factories
• CPT Violation Implies Violation of Lorentz Invariance
• Tests of Lorentz invariance: a 2013 update
• Theoretical update of Bs-Bs-bar mixing
• Sensitivity of CPT Tests with Neutral Mesons
• Measurement of the fragmentation fraction ratio $f_s/f_d$ and its dependence on $B$ meson kinematics
• Observation of Time Reversal Violation in the B0 Meson System
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• CPT, T, and Lorentz Violation in Neutral-Meson Oscillations
• Measurement of CP violation and the B_s^0 meson decay width difference with B_s^0\to J/ψK^+ K^- and B_s^0\to J/ψπ^+π^- decays
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Precision measurement of the $B_s^0$-${\bar{B}}_s^0$ oscillation frequency with the decay $B^{0}_{s}\rightarrowD^{-}_{s}π^{+}$
• Test of CPT and Lorentz symmetry in entangled neutral kaons with the KLOE experiment
• Search for T, CP and CPT Violation in B0-B0bar Mixing with Inclusive Dilepton Events
• The Golden Modes B^0 -> J/psi K_{S,L} in the Era of Precision Flavour Physics
• Measurement of D0-D0bar mixing parameters and search for CP violation using D0->K+pi- decays
• CPT violation and B-meson oscillations
• Measurement of the flavour-specific CP-violating asymmetry $a_{\mathrm{sl}}^s$ in $B_s^0$ decays
• Limits on the Decay-Rate Difference of Neutral-B Mesons and on CP, T, and CPT Violation in B0-antiB0 Oscillations
• General Analysis of New Physics in $B\to J/\psi K$
• Search for Time-Dependent CPT Violation in Hadronic and Semileptonic B Decays
• Can the CP asymmetries in $B\to \psi K_S$ and $B\to \psi K_L$ differ?
• Search for T and CP Violation in B0-anti-B0 Mixing with Inclusive Dilepton Events
• Measurement of the time-dependent CP asymmetry in B0 -> J/ψ KS0 decays
• B Physics at LHCb
• Observation of $B_s^0$-${\bar{B}}_s^0$ mixing and measurement of mixing frequencies using semileptonic B decays
• CPT Results from KTeV

Cited by in corpus (15)

• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Search for violations of Lorentz invariance and $CPT$ symmetry in $B_{(s)}^0$ mixing
• Searching for CPT Violation with Neutral-Meson Oscillations
• Testing CPT violation with correlated neutral mesons
• Exact Lorentz-violating all-loop ultraviolet divergences in scalar field theories
• Beta-Decay Spectrum and Lorentz Violation
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• All-loop order critical exponents for massless scalar field theory with Lorentz violation in the BPHZ method
• Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing
• Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda {\varphi }^4$ scalar field theory
• New constraints on CPT symmetry violation in charm mesons