论文标题
等级退化Yukawa基质和无质量中微子的命运的重新归一化组效应
Renormalization group effects for a rank degenerate Yukawa matrix and the fate of the massless neutrino
论文作者
论文摘要
I型SEESAW模型是描述中微子质量的标准模型的常见扩展。 I型Seesaw引入了重型右手中微子，其Majorana质量是标准型号Electroweak仪表单元。我们最初研究了一个用两个右撇子中微子称为3-2模型的案例。在右撇子中微子上微子的能量尺度上，有效的中微子质量基质是级别退化，这表明最轻的中微子是无质量的。在考虑了两个右撇子中微子以下的重归其化效应之后，有效的中微子质量基质保持降级。接下来，我们研究了一个模型，该模型称为3-3模型。高于三个右中微子的能量尺度，我们构建了有效的中微子质量基质，以归化。在求解对低于三个右中微子的能量的重新归一化效应后，我们发现有效中微子质量基质的等级取决于重新归一化组方程的内核溶液。我们证明了最简单的核溶液，有效中微子质量基质仍然是归化的。
The Type-I seesaw model is a common extension to the Standard Model that describes neutrino masses. The Type-I seesaw introduces heavy right-handed neutrinos with Majorana mass that transform as Standard Model electroweak gauge singlets. We initially study a case with two right-handed neutrinos called the 3-2 model. At an energy scale above the right-handed neutrinos, the effective neutrino mass matrix is rank degenerate implying the lightest neutrino is massless. After considering renormalization effects below the two right-handed neutrinos, the effective neutrino mass matrix remains rank degenerate. Next, we study a model with three right-handed neutrinos called the 3-3 model. Above the energy scale of the three right-handed neutrinos, we construct the effective neutrino mass matrix to be rank degenerate. After solving for the renormalization effects to energies below the three right-handed neutrinos, we find the rank of the effective neutrino mass matrix depends on the kernel solutions of the renormalization group equations. We prove for the simplest kernel solutions the effective neutrino mass matrix remains rank degenerate.
