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SUSY $SO(10)\times S_4$中的中间左右规范对称性、耦合和费米子质量的统一

Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$

M. K. Parida

备注：
Minor clarification and few references added to match the published version
发表信息：
Phys.Rev.D78:053004,2008
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摘要：

如果左右规范理论作为大统一理论中的中间对称性出现，那么除了其他优点外，它还可以获得必要的跷跷板尺度，以理解具有统一阶数的马约拉纳耦合的小中微子质量。除了阈值或不可重整化的引力效应，或假设存在额外的非指定起源的轻标量粒子，所有其他试图在具有左右中间对称性的超对称SO（10）中实现明显的单圈规范耦合统一的尝试迄今为止都没有成功。归因于这种失败缺乏味对称性的大胃肠道中，我们展示了如何自发对称性破缺的$SO(10)\times S_4$导致这样的中间规模延伸到一个很宽的范围内，$M_R \simeq 5\times 10^{9}$ GeV的$10^{15}$ GeV。所有的带电费米子质量都在跷跷板尺度下拟合，$M_N\simeq M_R \simeq 4 \times 10^{13}$ GeV是由Majorana耦合$f_0 \simeq 1$得到的。使用一个约束的参数化，其中CP违反起源于夸克部门，除了在中微子部门作出的其他预测，反应堆混合角被发现是$θ_{13} \simeq 3^{\circ} - 5^{\circ}$这是在正在进行的和计划中的实验访问的范围内。轻子狄拉克相位是具有Jarlskog不变量$J \sim 2.95 \times 10^{-5} - 10^{-3}$的$δ\sim 2.9- 3.1$弧度。

英文摘要：

If left-right gauge theory occurs as an intermediate symmetry in a GUT then, apart from other advantages, it is possible to obtain the see-saw scale necessary to understand small neutrino masses with Majorana coupling of order unity. Barring threshold or non-renormalizable gravitational effects, or assumed presence of additional light scalar particles of unprescribed origin, all other attempts to achieve manifest one-loop gauge coupling unification in SUSY SO(10) with left-right intermediate symmetry have not been successful so far. Attributing this failure to lack of flavor symmetry in the GUT, we show how the spontaneous symmetry breaking of $SO(10)\times S_4$ leads to such intermediate scale extending over a wide range, $M_R \simeq 5\times 10^{9}$ GeV to $10^{15}$ GeV. All the charged fermion masses are fitted at the see-saw scale, $M_N\simeq M_R \simeq 4 \times 10^{13}$ GeV which is obtained with Majorana coupling $f_0 \simeq 1$. Using a constrained parametrization in which CP-violation originates only from quark sector, besides other predictions made in the neutrino sector, the reactor mixing angle is found to be $θ_{13} \simeq 3^{\circ} - 5^{\circ}$ which is in the range accessible to ongoing and planned experiments. The leptonic Dirac phase turns out to be $δ\sim 2.9- 3.1$ radians with Jarlskog invariant $J \sim 2.95 \times 10^{-5} - 10^{-3}$.

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