Asymmetric tri-bi-maximal mixing is a recently proposed, grand unified theory (GUT) based, flavor mixing scheme. In it, the charged lepton mixing is fixed by the GUT connection to down-type quarks and a [Formula: see text] flavor symmetry, while neutrino mixing is assumed to be tri-bi-maximal (TBM) with one additional free phase. Here we show that this additional free phase can be fixed by the residual flavor and CP symmetries of the effective neutrino mass matrix. We discuss how those residual symmetries can be unified with [Formula: see text] and identify the smallest possible unified flavor symmetries, namely [Formula: see text] and [Formula: see text]. Sharp predictions are obtained for lepton mixing angles, CP violating phases and neutrinoless double beta decay.

中文翻译：

---

不对称三双极大混合和剩余对称性

不对称三双极大混合是最近提出的基于大统一理论 (GUT) 的风味混合方案。在其中，带电轻子混合由 GUT 连接到下型夸克和 [公式：见文本] 风味对称性固定，而中微子混合被假定为三双极大 (TBM) 和一个额外的自由相。在这里，我们表明这种额外的自由相可以通过有效中微子质量矩阵的残余风味和 CP 对称性来固定。我们讨论如何将这些剩余对称性与[公式：见文本]统一，并确定最小可能的统一风味对称性，即[公式：见文本]和[公式：见文本]。对轻子混合角、CP破坏相和无中微子双β衰变获得了清晰的预测。