arXiv 1401.22452014-01-10hep-ph

中性K介子衰变中洛伦兹破坏的探讨

Exploration of Lorentz violation in neutral-kaon decay

K. K. Vos, J. P. Noordmans, H. W. Wilschut, R. G. E. Timmermans

备注：: accepted for publication in Physics Letters B
发表信息：: Physics Letters B 729, 112 (2014)
DOI：: 10.1016/j.physletb.2014.01.016

摘要：

KLOE合作最近报道了短寿命中性K介子$K^0_S$的寿命与宇宙微波背景的偶极各向异性的方向依赖性的界限。我们解释了他们的结果在一个有效场论框架开发探测违反洛伦兹不变性的弱相互作用和以前应用于半轻子过程，特别是$β$衰变。在这种方法中，一般的洛伦兹破坏张量$χ^{μν}$被添加到$W$玻色子的标准传播子。我们对在非轻子衰变中寻找洛伦兹破坏的前景进行了探索性研究。对于K介子，我们发现，洛伦兹破坏的敏感性是有限的速度的K介子和强子效应可以计算的程度。在一个简单的模型中，我们推导出$K^0_S$的衰减率，并计算寿命的不对称性。使用KLOE数据，确定$χ^{μν}$值的限值。

英文摘要：

The KLOE collaboration recently reported bounds on the directional dependence of the lifetime of the short-lived neutral kaon $K^0_S$ with respect to the dipole anisotropy of the cosmic microwave background. We interpret their results in an effective field theory framework developed to probe the violation of Lorentz invariance in the weak interaction and previously applied to semileptonic processes, in particular $β$ decay. In this approach a general Lorentz-violating tensor $χ^{μν}$ is added to the standard propagator of the $W$ boson. We perform an exploratory study of the prospects to search for Lorentz violation in nonleptonic decays. For the kaon, we find that the sensitivity to Lorentz violation is limited by the velocity of the kaons and by the extent to which hadronic effects can be calculated. In a simple model we derive the $K^0_S$ decay rate and calculate the asymmetry for the lifetime. Using the KLOE data, limits on the values of $χ^{μν}$ are determined.

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