论文标题
Higgs部门扩展的一级界限
Unitarity bounds on extensions of Higgs sector
论文作者
论文摘要
人们普遍认为，最小Higgs部门的扩展是解决标准模型（SM）以外的许多难题的有前途的方向之一。在这项工作中，我们通过使用附加的真实或复杂的希格斯三重态标量扩展了两种型二键模型来研究模型上的单位性界限。通过指出SM量表对称$ su（2）_l \ times u（1）_y $在高能量下恢复，我们可以通过将两个标量多重组的直接乘积分解为电子eletoweak仪表组的不可减至表示的直接总和来对两体散射状态进行分类。在这样的状态基础上，可以以块 - 二核散射矩阵的形式写入两体标量散射的S波幅度。然后，在散射矩阵的特征值上应用扰动单位性条件会导致模型参数的分析约束。最后，我们从数值上研究了两-higgs-doublet模型的复杂三重态标量扩展，发现扰动单位性将有用的严格界限放在模型参数空间上。
It is widely believed that extensions of the minimal Higgs sector is one of the promising directions for resolving many puzzles beyond the Standard Model (SM). In this work, we study the unitarity bounds on the models by extending the two-Higgs-doublet model with an additional real or complex Higgs triplet scalar. By noting that the SM gauge symmetries $SU(2)_L\times U(1)_Y$ are recovered at high energies, we can classify the two-body scattering states by decomposing the direct product of two scalar multiplets into their direct sum of irreducible representations of electroweak gauge groups. In such state bases, the s-wave amplitudes of two-body scalar scatterings can be written in the form of block-diagonalized scattering matrices. Then the application of the perturbative unitarity conditions on the eigenvalues of scattering matrices leads to the analytic constraints on the model parameters. Finally, we numerically investigate the complex triplet scalar extension of the two-Higgs-doublet model, finding that the perturbative unitarity places useful stringent bounds on the model parameter space.
