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arXiv 1602.02248hep-ph
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规范群$SU_L(2)\times SU_R(2)\times SU_l(2)$中$μ$和$τ$轻子的轻子味破坏衰变

Lepton flavour violating decays of $μ$ and $τ$ lepton in a gauge group $SU_L(2)\times SU_R(2)\times SU_l(2)$

Fayyazuddin

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摘要：

提出了电弱统一群$ SU(2)_L\times SU(2)_R\times SU(2)_Y $，用于研究μ子（$μ$）和τ子（$τ$）的带电轻子味破坏衰变. $SU(2)_Y$群位于轻子空间。左手轻子和反轻子被指定为半单群的基本表示$(2,2,\bar{2})$。规范群$SU(2)_Y$自发破缺为$U(1)_{Y_1}$，其中$Y_1=-L=\pm1$是超荷，通过引入一个标量多重态$Σ$，它属于$SU(2)_Y$的三重态表示3，在$SU(2)_L\times SU(2)_R$下是单重态。在这一阶段，介导轻子味违反衰变的$SU(2)_Y$的带电矢量玻色子$Y^\pm$获得质量，并与一个希格斯标量$H_Σ^0$解耦。剩余群$SU(2)_L\times SU(2)_R\times U(1)_{Y_1}$具有文献中广泛研究的左右电弱统一群的所有特征。轻子味破坏衰变的几率是$\left(\frac{\sin^2θ_W}{1-2\sin^2θ_W}\right)^2\left(\frac{m_{W_L}}{m_Y}\right)^4$。

英文摘要：

The electroweak unification group $ SU(2)_L\times SU(2)_R\times SU(2)_Y $ is proposed for the charged lepton flavor violating decays of the muon ($μ$) and tau ($τ$) leptons. The group $SU(2)_Y$ is in the lepton space. The left-handed leptons and anti-leptons are assigned to the fundamental representation $(2,2,\bar{2})$ of the semi-simple group. The gauge group $SU(2)_Y$ is spontaneously broken to $U(1)_{Y_1}$, where $Y_1=-L=\pm1$ is the hypercharge, by introducing a scalar multiplet $Σ$ which belongs to the triplet representation 3 of the $SU(2)_Y$ and is singlet under $SU(2)_L\times SU(2)_R$. At this stage charged vector bosons $Y^\pm$ of $SU(2)_Y$ which mediate the lepton flavor violating decays acquire masses and are decoupled with one Higgs scalar $H_Σ^0$. The residual group $SU(2)_L\times SU(2)_R\times U(1)_{Y_1}$ has all the features of the left-right electroweak unification group extensively studied in the literature. The probability for lepton flavor violating decays is $\left(\frac{\sin^2θ_W}{1-2\sin^2θ_W}\right)^2\left(\frac{m_{W_L}}{m_Y}\right)^4$.

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