arXiv 1302.06722013-02hep-phhep-ex

左-右模型和低质量$\bf W_R, Z_R$玻色子的SO（10）大统一中的中微子质量、主要的无中微子双β衰变和可观测的轻子味破坏

Neutrino masses, dominant neutrinoless double beta decay, and observable lepton flavor violation in left-right models and SO(10) grand unification with low mass $\bf W_R, Z_R$ bosons

Ram Lal Awasthi, M. K. Parida, Sudhanwa Patra

备注：: 46 pages latex, 13 figures, 11 Tables, JHEP version accepted for publication
发表信息：: JHEP 08 (2013) 122
DOI：: 10.1007/JHEP08(2013)122

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摘要：

虽然在大型强子对撞机上探测到$W_R$ -玻色子很可能解决弱相互作用中宇称破坏的谜团，但对无中微子双β衰变（$0νββ$）的观测有望确定中微子是否是马约拉纳费米子。在这项工作中，我们考虑一类LR模型与TeV规模的$W_R, Z_R$玻色子，但有宇称恢复在高尺度上，他们起源于著名的Pati-Salam对称性或$SO(10)$大统一理论最低限度地扩展到适应反跷跷板框架工作的中微子质量。对无中微子双β衰变的最主要的新贡献是通过涉及较轻的无菌中微子交换的$W_L^{-}W_L^{-}$介导发生的。下一个主要的贡献是通过$W_L^{-}W_R^{-}$调解涉及轻和重的右手中微子或不育中微子交换。夸克-轻子对称起源的狄拉克中微子质量矩阵的计算值也被发现发挥了至关重要的作用，在确定这些和其他结果的轻子味违反分支比$τ\rightarrow e + γ$，$τ\rightarrow μ+ γ$，和$μ\rightarrow e + γ$访问正在进行的搜索实验。基本的非么正矩阵被发现表现在大量的CP破坏的影响，即使轻子狄拉克相位$δ_{\rm CP} \simeq 0, π, 2 π$。最后，我们探讨了该模型在非超对称SO（10）大统一理论中的可能起源，其中，除了大型强子对撞机可获得的低质量$W_R^\pm$和$Z_R$玻色子外，该模型还被发现预测了可观测到的中子-反中子振荡和由$\mbox{Br} \left(K_{\rm L} \rightarrow μ\, \bar{e}\right) \simeq \left(10^{-9}- 10^{-11} \right)$引起的轻夸克规范玻色子介导的稀有K介子衰变。

英文摘要：

While the detection of $W_R$-boson at the Large Hadron Collider is likely to resolve the mystery of parity violation in weak interaction, observation of neutrinoless double beta decay ($0νββ$) is expected to determine whether neutrinos are Majorana fermions. In this work we consider a class of LR models with TeV scale $W_R, Z_R$ bosons but having parity restoration at high scales where they originate from well known Pati-Salam symmetry or $SO(10)$ grand unified theory minimally extended to accommodate inverse seesaw frame work for neutrino masses. Most dominant new contribution to neutrinoless double beta decay is noted to occur via $W_L^{-}W_L^{-}$ mediation involving lighter sterile neutrino exchanges. The next dominant contribution is found to be through $W_L^{-}W_R^{-}$ mediation involving both light and heavy right-handed neutrino or sterile neutrino exchanges. The quark-lepton symmetric origin of the computed value of the Dirac neutrino mass matrix is also found to play a crucial role in determining these and other results on lepton flavor violating branching ratios for $τ\rightarrow e + γ$, $τ\rightarrow μ+ γ$, and $μ\rightarrow e + γ$ accessible to ongoing search experiments. The underlying non-unitarity matrix is found to manifest in substantial CP-violating effects even when the leptonic Dirac phase $δ_{\rm CP} \simeq 0, π, 2 π$. Finally we explore a possible origin of the model in non-supersymmetric SO(10) grand unified theory where, in addition to low mass $W_R^\pm$ and $Z_R$ bosons accessible to Large Hadron Collider, the model is found to predict observable neutron-antineutron oscillation and lepto-quark gauge boson mediated rare kaon decay with $\mbox{Br} \left(K_{\rm L} \rightarrow μ\, \bar{e}\right) \simeq \left(10^{-9}- 10^{-11} \right)$.

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