反对称秩2张量非粒子物理
Antisymmetric rank--2 tensor unparticle physics
摘要：
研究了具有标度维数$d_{\cal U}$的反对称秩2张量非粒子算符${\cal O}_{\cal U,A}^{μν}$的唯象.我们考虑了算符$O_{\cal U,A}^{μν}$在$Z^0$玻色子不可见衰变$Z^0 \to {\cal U}$、$Z^0 \to b \bar{b}$通道、电弱精密可观测$S$参数和μ子反常磁偶极矩中的物理效应. $Z^0$玻色子的不可见衰变在$(Λ_{\cal U}, M_{\cal U})$平面上给出了一个非常严格的约束，当$Λ_{\cal U}$为几百GeV量级时，只有小的$r \equiv Λ_{\cal U} / M_{\cal U} \lesssim 0.1$是有利的。当表征标度不变性破缺的唯象参数$μ$趋于0时，$1 < d_{\cal U} < 2$的$S$参数和μ子$(g-2)$发散，而对于非零的$μ$，$(Λ_{\cal U}, M_{\cal U})$将受到比对撞机实验更严格的约束.
英文摘要：
We present the phenomenology of antisymmetric rank-2 tensor unparticle operator ${\cal O}_{\cal U,A}^{μν}$ with scaling dimension $d_{\cal U}$. We consider the physical effects of operator $O_{\cal U,A}^{μν}$ in $Z^0$ boson invisible decays $Z^0 \to {\cal U}$, $Z^0 \to b \bar{b}$ channel, the electroweak precision observable $S$ parameter, and the muon anomalous magnetic dipole moment. The $Z^0$ boson invisible decay gives a very stringent constraint in the $(Λ_{\cal U}, M_{\cal U})$ plane, and only small $r \equiv Λ_{\cal U} / M_{\cal U} \lesssim 0.1$ is favored, when $Λ_{\cal U}$ is order of several 100 GeV. When the phenomenological parameter $μ$, which parameterizes the scale invariance breaking, goes to 0, the $S$ parameter and the muon $(g-2)$ diverge for $1 < d_{\cal U} < 2$, while for non-zero $μ$, there will be constraints on $(Λ_{\cal U}, M_{\cal U})$ which are more stringent than those obtained from collider experiments.
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