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arXiv · 1402.2577

Calculating the $K_L-K_S$ mass difference and $ε_K$ to sub-percent accuracy

Norman Christ·Taku Izubuchi·Christopher T. Sachrajda·Amarjit Soni·Jianglei Yu
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Abstract

The real and imaginary parts of the $K_L-K_S$ mixing matrix receive contributions from all three charge-2/3 quarks: up, charm and top. These give both short- and long-distance contributions which are accessible through a combination of perturbative and lattice methods. We will discuss a strategy to compute both the mass difference, $ΔM_K$ and $ε_K$ to sub-percent accuracy, looking in detail at the contributions from each of the three CKM matrix element products $V_{id}^*V_{is}$ for $i=u, c$ and $t$ as described in Ref. [1]

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Norman Christ, Taku Izubuchi, Christopher T. Sachrajda, Amarjit Soni, Jianglei Yu. 2014-02-11. Calculating the $K_L-K_S$ mass difference and $ε_K$ to sub-percent accuracy. https://arxiv.org/abs/1402.2577

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