arXiv 0909.11212009-09-07hep-ph

3-3-1模型中$Z^{\prime}$玻色子衰变辐射修正的重夸克信号

Heavy quark signals from radiative corrections to the $Z^{\prime}$ boson decay in 3-3-1 models

R. Martinez, F. Ochoa

发表信息：: Phys.Rev.D80:075020,2009
DOI：: 10.1103/PhysRevD.80.075020

摘要：

在3-3-1模型的一般形式的框架下，推导并分析了对$Z^{\prime}$衰变宽度的单圈修正。我们确定了两个重要的修正源：通过新重夸克$J$的虚粒子-反粒子对引起的真空极化对$Z^{\prime}$传播子的斜修正，以及通过新$K^{Q_{1,2}}$规范玻色子的虚交换对$Z^{\prime}q\bar{q}$顶点的顶点修正。固定一个特定的重整化方案，我们得到显性斜修正，表现出二次依赖的$J$夸克质量，这是吸收到两个斜参数：一个全局参数$ρ^{\prime}_f$的修改$Z^{\prime}$衰变宽度，和一个参数$κ^{\prime}_{f}$，定义有效的$Z^{\prime}$耦合。在一个特定的3-3-1模型中的数值结果给出了强的贡献的斜修正从约1.3%的$d(s)$夸克通道中的中微子通道中的10.5%，$m_{J}=2$ TeV。对于相同的通道和$m_{J}$值，顶点校正对倾斜校正的贡献高达1.4%。对于$pp$碰撞在欧洲核子研究中心大型强子对撞机，我们发现，修正显着修改的形状的截面分布$e^{+}e^{-}$和$t\bar{t}$的最终状态，其中包括辐射修正的分布增加到1.23倍的树级分布的双电子事件和1.07的顶部事件时，$m_{J}=3$ TeV。

英文摘要：

One-loop corrections to the $Z^{\prime}$ decay width are derived and analyzed in the framework of the general form of the 3-3-1 models. We identify two important sources of corrections: oblique corrections asociated to the $Z^{\prime}$ propagator through vacum polarizations induced by virtual particle-antiparticle pairs of new heavy quarks $J$, and vertex corrections to the $Z^{\prime}q\bar{q}$ vertex through virtual exchange of new $K^{Q_{1,2}}$ gauge bosons. Fixing an specific renormalization scheme, we obtain dominant oblique corrections that exhibit a quadratic dependence on the $J$ quark mass, which are absorbed into two oblique parameters: a global parameter $ρ^{\prime}_f$ which modify the $Z^{\prime}$ decay width, and a parameter $κ^{\prime}_{f}$ that define effective $Z^{\prime}$ couplings. Numerical results in an specific 3-3-1 model gives a strong contribution of the oblique corrections from about 1.3% in the $d(s)$ quark channel to 10.5% in the neutrino channel, for $m_{J}=2$ TeV. The vertex corrections contribute to the oblique corrections up to 1.4% for the same channel and $m_{J}$ value. For $pp$ collisions at the CERN LHC collider, we find that the corrections significantly modify the shape of the cross section distributions for $e^{+}e^{-}$ and $t\bar{t}$ final states, where the distributions including the radiative corrections increases up to 1.23 times the tree-level distribution for the dielectron events and to 1.07 for the top events when $m_{J}=3$ TeV.

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