论文标题
动力学混合，托管对称性和深色$ z^{\ prime} $质量的下限
Kinetic mixing, custodial symmetry and a lower bound on the dark $Z^{\prime}$ mass
论文作者
论文摘要
在这项工作中，我们考虑了黑暗字段的标准模型的扩展，并在隐藏的暗物质方案中自发折断的量规对称性。考虑所有维度四个量规不变术语，我们表明的是树级关系$ m^{2} _ {2} _ {w} = m^{2} _ {\ tilde Z} \ cos} \ cos} \ cos^{2} \tildeθ_{w} $ holds并允许写入gase gasection kim saterial saterial saterial saterial satectial saterive satection satection satection satection satection satection satection satection satection satection satection satection satection satect $θ_ζ$，就$ m_ {z} $的值而言，弱混合角度和物理深色量规$ z^{\ prime} $ boson的质量。在循环级别上，在$ \ overline {ms} $方案中获得了类似的关系。使用从全局拟合到electroweak Precision数据的结果$ρ_{0} = m^{2} _ {w}/\ hat {c}^{2} _ {z} _ {z} m^{2} _ {z} _ {z} _ {z} \hatρ$，我们获得了下部的下限$ m _} $ m_} $ m_ { Dark $ z^{\ prime} $质量在$ 94 \％$置信度级别。我们认为，这种下限在物理学的一般情况下，超出标准模型以外的额外$ u（1）$ guge因子亚组，每当扩展的希格斯潜在的潜在尊重的托管对称性时。
In this work we consider the extension of the standard model by dark fields with an Abelian $U(1)_{d}$ spontaneously broken gauge symmetry in a hidden dark matter scenario. Considering all the dimension four gauge invariant terms we show that the tree-level relation $M^{2}_{W}=M^{2}_{\tilde Z} \cos^{2} \tilde θ_{w}$ holds and permits to write the mixing angle induced by the kinetic mixing in the neutral massive gauge boson sector, $θ_ζ$, in terms of the values of $M_{Z}$, the weak mixing angle and of the mass of the physical dark gauge $Z^{\prime}$ boson. At the loop level, a similar relation is obtained in the $\overline{MS}$ scheme. Using the result extracted from the global fit to electroweak precision data for the ratio $ρ_{0}=M^{2}_{W}/\hat{c}^{2}_{Z} M^{2}_{Z}\hatρ$, we obtain a lower bound $M_{Z^{\prime}}> M_{Z}$ for the dark $Z^{\prime}$ mass at the $94\%$ confidence level. We argue that this lower bound holds in the general case of theories for physics beyond the standard model with an extra $U(1)$ gauge factor subgroup, whenever the extended Higgs potential respects custodial symmetry.
