Test of Special Relativity and Equivalence principle from K Physics

Abstract

A violation of Local Lorentz Invariance (VLI) and hence the special theory of relativity or a violation of equivalence principle (VEP) in the Kaon system can, in principle, induce oscillations between $K^0$ and ${\bar{K}}^0$. We construct a general formulation in which simultaneous pairwise diagonalization of mass, momemtum, weak or gravitational eigenstates is not assumed. %and the maximum attainable %velocities of the velocity eigenstates are different. We discuss this problem in a general way and point out that, as expected, the VEP and VLI contributions are indistinguishable. We then insist on the fact that VEP or VLI can occur even when CPT is conserved. A possible CP violation of the superweak type induced by VEP or VLI is introduced and discussed. We show that the general VEP mechanism (or the VLI mechanism, but not both simultaneously), with or without conserved CPT, could be clearly tested experimentally through the energy dependence of the $K_L-K_S$ mass difference and of ${\eta }_{+-}$, ${\eta }_{00}$, $\delta$. Constraints imposed by present experiments are calculated.

arXiv commentLatex, 15 pages, 1 figure, version to appear in Phys. Rev. D

References in corpus (9)

• Cosmic Ray and Neutrino Tests of Special Relativity
• Comments on Neutrino Tests of Special Relativity
• A Possible Violation of the Equivalence Principle by Neutrinos
• Test of the Equivalence Principle from Neutrino Oscillation Experiments
• Three Flavour Gravitationally Induced Neutrino Oscillations and the Solar Neutrino Problem
• Mass or Gravitationally Induced Neutrino Oscillations? -- A Comparison of $\B$ Neutrino Flux Spectra in a Three--Generation Framework
• An Investigation of Equivalence Principle Violations Using Solar Neutrino Oscillations in a Constant Gravitational Potential
• Test of Special Relativity from K Physics
• The Equivalence Principle in the Non-baryonic Regime

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• Gravity induced neutrino-antineutrino oscillation: CPT and lepton number non-conservation under gravity
• Testing Violations of Lorentz Invariance with Cosmic Rays
• Weak Interactions Effect on the P-N Mass Splitting and the Principle of Equivalence
• Modification of special relativity and local structures of gravity-free space and time