We evaluate the stellar energy-loss rates 𝒬 due to the production of neutrino pair in 3-3-1 models. The energy loss rate 𝒬 is evaluated for different values of β = ± 1 3,± 2 3,±3 in which β is a parameter used to define the charge operator in the 331 models. We show that the contribution of dipole moment to the energy loss rate is small compared to the contribution of new natural gauge boson Z′. The correction 𝒬 compared with that of Standard Model is evaluated and do not exceed 14% and is highest with β = −3. Of all the evaluated models, model with β = −3 give a relative large 𝒬 correction for the mass of Z′mZ′≤ 4000 GeV. This mass range is within the searching range for Z′ boson at LHC.

中文翻译：

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331β模型中微子能量损失率

我们评估恒星能量损失率𝒬由于在 3-3-1 模型中产生中微子对。能量损失率𝒬被评估为不同的值β = ± 1 3,± 2 3,±3其中β是用于定义 331 模型中的电荷算子的参数。我们表明，与新自然规范玻色子的贡献相比，偶极矩对能量损失率的贡献很小Z'. 更正𝒬与标准模型相比，评估不超过 14%，最高β = -3. 在所有评估模型中，模型与β = -3给出一个比较大的𝒬质量校正Z'米Z'≤ 4000 锗钒。这个质量范围在搜索范围内Z'大型强子对撞机的玻色子。