Test of Special Relativity from K Physics

Details Test of Special Relativity from K Physics Test of Special Relativity from K Physics

1997-09-15

arxiv.org/abs/hep-ph/9709350v2

Phys.Lett. B421 (1998) 105-108

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTeX, references added

Scientific paper

10.1016/S0370-2693(98)00016-1

A breakdown of the Local Lorentz Invariance and hence the special theory of relativity in the Kaon system can, in principle, induce oscillations between the $K^0$ and $\bar{K}^0$ states. We construct a general formulation in which simultaneous pairwise diagonalization of mass, momentum and weak eigenstates is not assumed and the maximum attainable speeds of the momentum eigenstates are different. This mechanism permits Local Lorentz Invariance violation in a manner that may or may not violate CPT. In the $CPT-$conserving case, we show that violation of special relativity could be clearly tested experimentally via the energy dependence of the $K_L-K_S$ mass difference and we discuss constraints imposed by present experiments. In the CPT-violating case the $K^0$--$\bar{K}^0$ system also allows the possiblity of testing different Lorentz properties of matter and antimatter.

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