We consider a model with gauged \(L_\mu ^{} - L_\tau ^{}\) symmetry in which the symmetry is spontaneously broken by a scalar field. The decay of the scalar boson into two new gauge bosons is studied as a direct consequence of the spontaneous symmetry breaking. Then, a possibility of searches for the gauge and scalar bosons through such a decay at the LHC experiment is discussed. We consider the case that the mass range of the gauge boson is \({\mathcal {O}}(10)\) GeV, which is motivated by anomalies reported by LHCb. We will show that the signal significance of the searches for the gauge boson and scalar boson reach to 3 and 5 for the scalar mixing 0.012 and 0.015, respectively.

我们考虑具有标度\（L_ \ mu ^ {}-L_ \ tau ^ {} \）对称性的模型，其中该对称性被标量场自发破坏。研究了标量玻色子衰变成两个新规格玻色子的原因，这是自发对称破坏的直接结果。然后，讨论了在大型强子对撞机实验中通过这种衰变搜索标量玻色子和标量玻色子的可能性。我们考虑了玻色子玻色子的质量范围是\（{\ mathcal {O}}（10）\）  GeV的情况，这是由LHCb报告的异常引起的。我们将显示，对于标量混合量为0.012和0.015的规范玻色子和标量玻色子，搜索的信号显着性分别达到3和5。