arXiv 1003.45022010-03hep-ph

Pati-Salam x S4模型中GUT与味对称的相互作用

The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model

Reinier de Adelhart Toorop, Federica Bazzocchi, Luca Merlo

备注：: 62 pages, 4 figures; references added, version accepted for publication in JHEP
发表信息：: JHEP 1008:001,2010
DOI：: 10.1007/JHEP08(2010)001

摘要：

大统一对称性和离散味对称性都是描述标准模型规范和味扇区中表观结构的吸引人的方法。这两种对称性都限制了理论的高能行为。这可能会在构建同时具有两种对称性的模型时产生意想不到的相互作用。我们研究了将Pati-Salam模型与离散味对称性$S_4$相结合的可能性，该对称性导致夸克-轻子互补。在适当的假设下，在大统一理论尺度，该模型再现费米子质量和混合在夸克和轻子部门。我们表明，特别是希格斯部门和运行汤川耦合的大统一和家庭对称性的综合约束的强烈影响。这反过来又减少了唯象上可行的参数空间，高能质量尺度被限制在一个小区域，中微子扇区中的一些参数稍微不自然。在允许的区域内，我们可以重现夸克质量和CKM矩阵。在轻子部分，我们再现了带电轻子的质量，包括底τ统一和Georgi-Jarlskog关系以及PMNS矩阵的两个已知角。中微子质谱可以呈现正态或逆态的层次结构，并且只允许中微子参数分布在$λ^{-2}$和$λ^2$之间的值范围内，其中有$λ\simeq0.2$。最后，我们的模型表明，反应器的混合角是接近其目前的实验界。

英文摘要：

Both Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when building models that possess both symmetries. We investigate on the possibility to combine a Pati-Salam model with the discrete flavour symmetry $S_4$ that gives rise to quark-lepton complementarity. Under appropriate assumptions at the GUT scale, the model reproduces fermion masses and mixings both in the quark and in the lepton sectors. We show that in particular the Higgs sector and the running Yukawa couplings are strongly affected by the combined constraints of the Grand Unified and family symmetries. This in turn reduces the phenomenologically viable parameter space, with high energy mass scales confined to a small region and some parameters in the neutrino sector slightly unnatural. In the allowed regions, we can reproduce the quark masses and the CKM matrix. In the lepton sector, we reproduce the charged lepton masses, including bottom-tau unification and the Georgi-Jarlskog relation as well as the two known angles of the PMNS matrix. The neutrino mass spectrum can present a normal or an inverse hierarchy, and only allowing the neutrino parameters to spread into a range of values between $λ^{-2}$ and $λ^2$, with $λ\simeq0.2$. Finally, our model suggests that the reactor mixing angle is close to its current experimental bound.

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