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arXiv 1904.00568hep-ph
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利用介子的轻子味破坏衰变探测无菌中微子

Probing Sterile Neutrino via Lepton Flavor Violating Decays of Mesons

Shiyong Hu, Sam Ming-Yin Wong, Fanrong Xu

摘要:

在GeV质量尺度的无菌中微子是特别感兴趣的这项工作。不育中微子虽然不参与中微子振荡,但能引起$K, D$和$B$介子的味违反半轻子和轻子衰变.我们计算了这些过程的方框图贡献。利用轻子味违反衰变$M^+_h\to M_l^+\ell_1^+\ell_2^-$和$M^0\to \ell_1^-\ell_2^+$的现有实验极限,探讨了不同质量范围内$U_{e4}$和$U_{μ4}$的允许参数空间.一般来说,两个通道都对$U_{e4}$和$U_{μ4}$的乘积给出了限制。当不育中微子的质量介于π介子和K介子之间时,$K^+\to π^+ e^{\pm}μ^{\mp}$给出了最强的约束,而当其质量介于K介子和B介子之间时,$B^+\to π^+ e^{\pm} μ^{\mp}$给出了主要的约束。如果无菌中微子甚至比B介子重,在LHC b进行的$B^0_s\to μ^{\pm} e^{\mp}$实验给出了最强的约束。

英文摘要:

A sterile neutrino at GeV mass scale is of particular interest in this work. Though not take part in neutrino oscillation, the sterile neutrino can induce flavor violating semileptonic and leptonic decay of $K, D$ and $B$ mesons. We calculated a box diagram contribution in these processes. By making use of current experiment limit of lepton flavor violating decays $M^+_h\to M_l^+\ell_1^+\ell_2^-$ and $M^0\to \ell_1^-\ell_2^+$, we explore the allowed parameter space of $U_{e4}$ and $U_{μ4}$ in different mass ranges. Generally speaking, both channels give a limit to the product of $U_{e4}$ and $U_{μ4}$. When sterile neutrino mass is located in between pion and kaon mass, $K^+\to π^+ e^{\pm}μ^{\mp}$ gives the strongest constraint while $B^+\to π^+ e^{\pm} μ^{\mp}$ provides the dominated constraint when its mass in between of kaon and B meson. If sterile neutrino is even heavier than B mesons, the $B^0_s\to μ^{\pm} e^{\mp}$ experiment which is performed at LHCb gives the strongest constraint.

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