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arXiv 2004.14259hep-ph
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中微子质量、混合和μ子在左右理论$U(1)_{L_μ-L_τ}$扩展中的$g-2$解释

Neutrino mass, mixing and muon $g-2$ explanation in $U(1)_{L_μ-L_τ}$ extension of left-right theory

Chayan Majumdar, Sudhanwa Patra, Prativa Pritimita, Supriya Senapati, Urjit A Yajnik

摘要:

我们考虑规范的$U(1)_{L_μ-L_τ}$扩展的左右对称理论,以同时解释中微子质量,混合和μ子反常磁矩。我们从新的轻规范玻色子$Z_{μτ}$的$U(1)_{L_μ-L_τ}$对称性与μ子的相互作用中得到了相当大的贡献,这些μ子可以单独满足μ子$(g-2)$反常($Δa_μ$)的当前界限。对$Δa_μ$的其它正贡献来自单电荷规范玻色子$W_L$、$W_R$与重中性费米子的相互作用以及中性CP偶标量与μ子的相互作用。$W_L$与重中微子的相互作用是由反跷跷板机制促进的,该机制允许大的轻重中微子混合,并在我们的模型中解释了中微子质量。质量在几百GeV左右的CP偶标量也可以满足整个当前μ子异常约束。结果表明,该模型对$Δa_μ$的贡献很小,但不可忽略,从而消除了μ子$(g-2)$反常的理论预测与实验结果的全部偏差.我们简要地介绍了对称和非对称的左右对称模型的比较研究的背景下的各种贡献$Δa_μ$。我们还讨论了当左右对称性破缺为标准模型对称性时,标量的不同选择对中微子质量产生的影响。

英文摘要:

We consider a gauged $U(1)_{L_μ-L_τ}$ extension of the left-right symmetric theory in order to simultaneously explain neutrino mass, mixing and the muon anomalous magnetic moment. We get sizeable contribution from the interaction of the new light gauge boson $Z_{μτ}$ of the $U(1)_{L_μ-L_τ}$ symmetry with muons which can individually satisfy the current bounds on muon $(g-2)$ anomaly ($Δa_μ$). The other positive contributions to $Δa_μ$ come from the interactions of singly charged gauge bosons $W_L$, $W_R$ with heavy neutral fermions and that of neutral CP-even scalars with muons. The interaction of $W_L$ with heavy neutrino is facilitated by inverse seesaw mechanism which allows large light-heavy neutrino mixing and explains neutrino mass in our model. CP-even scalars with mass around few hundreds GeV can also satisfy the entire current muon anomaly bound. The results show that the model gives a small but non-negligible contribution to $Δa_μ$ thereby eliminating the entire deviation in theoretical prediction and experimental result of muon $(g-2)$ anomaly. We have briefly presented a comparative study for symmetric and asymmetric left-right symmetric model in context of various contribution to $Δa_μ$. We also discuss how the generation of neutrino mass is affected when left-right symmetry breaks down to Standard Model symmetry via various choices of scalars.

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