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arXiv 1503.06270hep-phhep-ex
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高尺度SUSY中与$ε_K$相关的$K_L \to π^0 ν{\bar ν}$衰变

$K_L \to π^0 ν{\bar ν}$ decay correlating with $ε_K$ in high-scale SUSY

Morimitsu Tanimoto, Kei Yamamoto

摘要:

我们研究了高尺度超对称性对与CP破坏参数K_K相关的K_L to pi ^0 nu{bar nu}和K^+ to pi^+ nu{bar nu}过程的贡献。考虑到最近的LHC结果的Higgs的发现和超对称性搜索,我们认为在非最小夸克(slepton)味混合的框架下,在10-50 TeV的规模的高尺度超对称性。Z企鹅介导的chargino占主导地位的超对称贡献这些衰变。在10 TeV超对称能量下,电荷子贡献使K_L到pi ^0 nu{bar nu}的分支比提高了8倍,而预测的分支比BR(K^+到pi^+ nu {bar nu})提高了3倍.在超对称性中,胶子盒图占主导地位,胶子K的贡献最高可达30%.如果忽略下夸克混合,则Z企鹅介导的电荷子支配着K_L对pi^0 nu {bar nu}和K_K的超对称贡献。发现它们之间存在相关性,但电荷对K_p的贡献最多为3%。即使超对称标度为50 TeV,电荷过程仍然使K_L的分支比增大到比SM预言的2倍,并且在格图中,如果不抑制下夸克混合,K_L的分支比仍然偏离SM预言的O(10%)。我们还讨论了电荷对π ^0 e^+e^-过程K_L的贡献。

英文摘要:

We have studied the contribution of the high-scale SUSY to the K_L to pi^0 nu{bar nu} and K^+ to pi^+ nu{bar nu} processes correlating with the CP violating parameter epsilon_K. Taking account of the recent LHC results for the Higgs discovery and the SUSY searches, we consider the high-scale SUSY at the 10-50 TeV scale in the framework of the non-minimal squark (slepton) flavor mixing. The Z penguin mediated the chargino dominates the SUSY contribution for these decays. At the 10 TeV scale of the SUSY, the chargino contribution can enhance the branching ratio of K_L to pi^0 nu{bar nu} in eight times compared with the SM predictions whereas the predicted branching ratio BR(K^+ to pi^+ nu {bar nu}) increases up to three times of the SM one. The gluino box diagram dominates the SUSY contribution of epsilon_K up to 30%. If the down-squark mixing is neglected compared with the up-squark mixing, the Z penguin mediated the chargino dominates both SUSY contributions of K_L to pi^0 nu {bar nu} and epsilon_K. Then, it is found a correlation between them, but the chargino contribution to epsilon_K is at most 3%. Even if the SUSY scale is 50TeV, the chargino process still enhances the branching ratio of K_L to pi^0 nu {bar nu} from the SM prediction in the factor two, and epsilon_K is deviated from the SM prediction in O(10%) through the gluino box diagram unless the down-squark mixing is suppressed. We also discuss the chargino contribution to K_L to pi^0 e^+e^- process.

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