论文标题
可行的夸克 - lepton Yukawa的比率和核子衰减预测$ su（5）$ guts type-ii seesaw
Viable quark-lepton Yukawa ratios and nucleon decay predictions in $SU(5)$ GUTs with type-II seesaw
论文作者
论文摘要
我们研究了非对称SU（5）Grand Unified理论（GUTS）的Quark-Lepton Yukawa比率和核子衰变的预测方案的生存能力，其中中微子质量是由II型Seesaw机制产生的。所考虑的方案的标量扇区包含5-，24和45维表示，以及用于实现II型SEESAW的15维表示。当Yukawa矩阵的相关条目是由单个关节肠道操作员产生的（即在“单一操作员优势”的条件下）时，就会出现夸克和Lepton Yukawa耦合比率的预测。专注于第二和第三个家庭以及分层的Yukawa矩阵，我们表明只有两组预测，$ \ frac {y_t y_v} {y_b} = \ frac {3} {2} {2} {2} { $ \ frac {y_th} {y_b} = 2 $，$ \ frac {y_μ} {y_s} = 6 $是可行的。为了进一步调查这两种选择，我们将最小情况扩展到两个“玩具模型”，包括第一个带电费米子家族，并计算模型的预测，例如对于核子衰减速率和潜在距离范围内的光文量的质量。
We investigate the viability of predictive schemes for quark-lepton Yukawa ratios and nucleon decay in non-supersymmetric SU(5) Grand Unified Theories (GUTs) where neutrino masses are generated by a type II seesaw mechanism. The scalar sector of the considered scenario contains 5-, 24- and 45-dimensional representations plus a 15-dimensional representation for realising the type II seesaw. Predictions for the ratios of the quark and lepton Yukawa couplings emerge when the relevant entries of the Yukawa matrices are generated from single joint GUT operators (i.e. under the condition of "single operator dominance"). Focusing on the 2nd and 3rd family and hierarchical Yukawa matrices, we show that only two sets of predictions, $\frac{y_τ}{y_b}=\frac{3}{2}$, $\frac{y_μ}{y_s}=\frac{9}{2}$ and $\frac{y_τ}{y_b}=2$, $\frac{y_μ}{y_s}=6$ are viable. To further investigate both options, we extend the minimal scenarios to two "toy models", including the 1st family of charged fermions, and calculate the models' predictions, e.g. for the nucleon decay rates and for the masses of the light relics that are potentially within reach of colliders.
