arXiv 1509.070902015-09-23hep-ph

轻子扇区自发CP破坏：$θ_{13}$、Dirac CP相和轻子生成的共同起源

Spontaneous CP Violation in Lepton-sector: a common origin for $θ_{13}$, Dirac CP phase and leptogenesis

Biswajit Karmakar, Arunansu Sil

备注：: 31 pages, 17 figures
发表信息：: Phys. Rev. D 93, 013006 (2016)
DOI：: 10.1103/PhysRevD.93.013006

摘要：

一般的II型跷跷板公式的两个条款之间可能的相互作用的行使，导致非零的生成$θ_{13}$。由$A_4 \times Z_4 \times Z_3$对称性指导并伴随着标准模型单重态黄酮的模型的特定风味结构产生了传统的跷跷板贡献以产生三重最大轻子混合，该混合通过$SU(2)_L$三重态贡献的存在进一步校正以容纳$θ_{13}$。我们认为CP对称性被单重态场$S$的复真空期望值自发破缺。虽然其复杂的vev的幅度是负责产生$θ_{13}$，其相位部分诱导的低能量CP破坏相（$δ$）和CP破坏所需的leptogenesis。因此，三联体的贡献，虽然是次显性的，但在提供非零$θ_{13}$、$δ$和纤体发生所需的CP破坏的共同来源方面起着至关重要的作用。我们发现，最近的提示$δ$接近$3π/2$是在这个设置有点青睐，虽然它排除了确切的平等与$3π/2$。我们还讨论了在这种情况下轻子不对称性的产生。

英文摘要：

A possible interplay between the two terms of the general type-II seesaw formula is exercised which leads to the generation of nonzero $θ_{13}$. The specific flavor structure of the model, guided by the $A_4 \times Z_4 \times Z_3$ symmetry and accompanied with the Standard Model singlet flavons, yields the conventional seesaw contribution to produce the tribimaximal lepton mixing which is further corrected by the presence of the $SU(2)_L$ triplet contribution to accommodate $θ_{13}$. We consider the CP symmetry to be spontaneously broken by the complex vacuum expectation value (vev) of a singlet field $S$. While the magnitude of its complex vev is responsible for generating $θ_{13}$, its phase part induces the low energy CP violating phase ($δ$) and the CP violation required for leptogenesis. Hence the triplet contribution, although sub-dominant, plays crucial role in providing a common source for non-zero $θ_{13}$, $δ$ and CP-violation required for leptogenesis. We find that the recent hint for $δ$ close to $3π/2$ is somewhat favored in this set-up though it excludes the exact equality with $3π/2$. We also discuss the generation of lepton asymmetry in this scenario.

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