On the orthogonal matrix in the Casas-Ibarra parametrization for the Yukawa interactions of Majorana neutrinos

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-10-18 DOI:10.1016/j.nuclphysb.2024.116723

Zhi-zhong Xing

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引用次数: 0

Abstract

The Casas-Ibarra (CI) parametrization of the Yukawa coupling matrix of Majorana neutrinos is generalized by considering the exact seesaw relation and including non-unitarity of the

3 \times 3

Pontecorvo-Maki-Nakagawa-Sakata (PMNS) flavor mixing matrix. With the help of a full

6 \times 6

Euler-like block description of the flavor structure for the seesaw mechanism, we find that the orthogonal matrix

O

in the CI parametrization can be expressed as

O_{i j} = \sqrt{M_{j} / m_{i}} F_{i j}

with

m_{i}

and

M_{j}

being the masses of light and heavy Majorana neutrinos and

F_{i j}

consisting of the PMNS and active-sterile flavor mixing parameters (for

i, j = 1, 2, 3

). Assuming a specific pattern of

O

is therefore equivalent to imposing some special conditions on the seesaw parameter space.

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关于马约拉纳中微子尤卡瓦相互作用的卡萨斯-伊巴拉参数化中的正交矩阵

通过考虑精确的跷跷板关系和包括 3×3 Pontecorvo-Maki-Nakagawa-Sakata （PMNS）风味混合矩阵的非单一性，对马约拉纳中微子的尤卡瓦耦合矩阵的卡萨斯-伊巴拉（CI）参数化进行了概括。借助对跷跷板机制的味道结构的完整 6×6 欧拉样块描述，我们发现 CI 参数化中的正交矩阵 O 可以表示为 Oij=Mj/miFij，其中 mi 和 Mj 是轻重马约拉纳中微子的质量，Fij 由 PMNS 和活动-无源味道混合参数组成（i,j=1,2,3）。因此，假设一种特定的 O 模式，就等于对跷跷板参数空间施加了一些特殊条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.