Bélanger-Delaunay-Westhoff模型中μ子$g-2$和半轻子$B$的衰变
Muon $g-2$ and semileptonic $B$ decays in Bélanger-Delaunay-Westhoff model with gauge kinetic mixing
摘要：
在Bélanger，Delaunay和Westhoff（BDW）提出的模型中，一个新的扇区由类矢量费米子和两个复标量组成，在额外的阿贝尔对称性$U(1)_X$下带电.本文通过引入$U(1)_X$和标准模型$U(1)_Y$规范场之间的动力学混合，推广了BDW模型.解析地得到了μ子反常磁矩和Wilson系数$C_{9,10}^{(')}$的新物理贡献。我们已经探讨了自由参数空间的模型，考虑到各种约束的μ子$g-2$使用最近的数据从E989实验在费米实验室，轻子普适性违反方面的$R_K$和$R_{K^*}$，和分支比的半轻子衰变，$B^+ \rightarrow K^+ μ^+ μ^-$和$B^0 \rightarrow K^{*0} μ^+ μ^-$，LEP和LHC搜索slepton和$Z'$玻色子，以及微扰的要求。确定了模型的可行参数区域。在规范动力学混合项的存在下，这些区域被放大，并显着变形的情况下，与消失的动力学混合。在不久的将来，E989实验的预计灵敏度将能够测试目前允许的参数区域的重要部分。
英文摘要：
In the model proposed by Bélanger, Delaunay and Westhoff (BDW), a new sector consisted of vectorlike fermions and two complex scalars is charged under an extra Abelian symmetry $U(1)_X$. In this paper, we generalize the BDW model by introducing the kinetic mixing between the $U(1)_X$ and the standard model $U(1)_Y$ gauge fields. The new physics contributions to the muon anomalous magnetic moment and the Wilson coefficients $C_{9,10}^{(')}$ are obtained analytically. We have explored the free parameter space of the model, taking into account various constraints on the muon $g-2$ using recent data from the E989 experiment at Fermilab, the lepton universality violation in terms of $R_K$ and $R_{K^*}$, and the branching ratios of the semileptonic decays, $B^+ \rightarrow K^+ μ^+ μ^-$ and $B^0 \rightarrow K^{*0} μ^+ μ^-$, the LEP and LHC searches for sleptons and $Z'$ boson, as well as the perturbative requirement. The viable parameter regions of the model are identified. In the presence of the gauge kinetic mixing term, those regions are enlarged and significantly deformed in comparison to the case with vanishing kinetic mixing. In the near future, the E989 experiment with the projected sensitivity will be able to test significant parts of the currently allowed parameter regions.
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