arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0911.2242hep-ph
收藏

SO(10)味的大统一理论

An SO(10) Grand Unified Theory of Flavor

Bhaskar Dutta, Yukihiro Mimura, R. N. Mohapatra

摘要:

我们提出了一个基于$S_4$族对称性的超对称SO(10)味大统一理论(GUT).它利用了我们最近的建议,使用SO(10)与中微子质量的II型跷跷板机制结合一个简单的假设,即占主导地位的汤川矩阵({ \bf 10}-Higgs耦合到物质)具有秩1。在本文中,我们展示了如何秩一模型可以出现在一些合理的假设作为一个有效场论从矢量{ \bf 16}维物质场与质量以上的大统一体规模。为了获得所需的费米子味纹理,我们使用$S_4$ flavon多重态,它在理论的基态获得vevs。通过补充$S_4$理论与一个额外的离散对称性,我们发现,flavon真空场的排列采取一组离散的值提供一些高维耦合是小的。选择一组特定的真空排列,似乎会导致对所观察到的夸克-轻子味道的统一理解:(i)轻子混合矩阵,主要是三-二-最大值,与夸克混合有关的小修正;(ii)大统一体尺度下的夸克轻子质量关系:$m_b\simeq m_τ$和$m_μ\simeq 3 m_s$;(iii)太阳与大气中微子质量比$m_\odot/m_{\rm atm}\simeq θ_{\rm Cabibbo}$与观测结果一致。该模型预测的中微子混合参数,$U_{e3} \simeq θ_{\rm Cabibbo}/(3\sqrt2) \sim 0.05$,这应该是在计划的长基线实验观察。

英文摘要:

We present a supersymmetric SO(10) grand unified theory (GUT) of flavor based on an $S_4$ family symmetry. It makes use of our recent proposal to use SO(10) with type II seesaw mechanism for neutrino masses combined with a simple ansatz that the dominant Yukawa matrix (the {\bf 10}-Higgs coupling to matter) has rank one. In this paper, we show how the rank one model can arise within some plausible assumptions as an effective field theory from vectorlike {\bf 16} dimensional matter fields with masses above the GUT scale. In order to obtain the desired fermion flavor texture we use $S_4$ flavon multiplets which acquire vevs in the ground state of the theory. By supplementing the $S_4$ theory with an additional discrete symmetry, we find that the flavon vacuum field alignments take a discrete set of values provided some of the higher dimensional couplings are small. Choosing a particular set of these vacuum alignments appears to lead to an unified understanding of observed quark-lepton flavor: (i) the lepton mixing matrix that is dominantly tri-bi-maximal with small corrections related to quark mixings; (ii) quark lepton mass relations at GUT scale: $m_b\simeq m_τ$ and $m_μ\simeq 3 m_s$ and (iii) the solar to atmospheric neutrino mass ratio $m_\odot/m_{\rm atm}\simeq θ_{\rm Cabibbo}$ in agreement with observations. The model predicts the neutrino mixing parameter, $U_{e3} \simeq θ_{\rm Cabibbo}/(3\sqrt2) \sim 0.05$, which should be observable in planned long baseline experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑