最大零纹理研究：线性与反向跷跷板机制

21 浏览量更新于2024-09-03 收藏 1.3MB PDF 举报

"这篇研究论文探讨了线性和反向跷跷板机制中最大零纹理的情况，特别是关于中微子质量矩阵(mν)和带电轻子质量矩阵(me)的非零特征值假设。作者Roopam Sinha, Rome Samanta和Ambar Ghosal在Saha Institute of Nuclear Physics进行研究，并在Physics Letters B期刊上发表。文章详细分析了两种机制下，当限定为具有最多零元素的非奇异'me'矩阵时，可能存在的零纹理结构。" 在粒子物理学中，中微子的质量是通过线性和反向跷跷板机制来解释的。这些机制是理解中微子振荡现象的关键，中微子振荡表明中微子具有非零质量。线性跷跷板机制是一种扩展标准模型的理论，它引入了新的重粒子来解释中微子质量，而反向跷跷板机制则通过引入轻的中性粒子来实现。本文的重点在于最大零纹理的研究，即矩阵中尽可能多的零元素配置。这样的研究有助于简化模型，减少未知参数的数量，从而使理论更具预测性和可测试性。对于非奇异的'me'矩阵，即保证行列式不为零的矩阵，研究人员发现只有六种可能的纹理结构。非零特征值的假设对于中微子质量矩阵(mν)和带电轻子质量矩阵(me)至关重要，因为它们决定了中微子的质量结构。中微子的质量差异和混合角度可以通过实验观测到，而这些差异和角度又与矩阵的特征值和结构密切相关。在反向跷跷板机制中，研究指出有七种允许的两种零纹理结构，而在线性跷跷板机制中只有一种。这一发现暗示反向跷跷板可能提供了更丰富的零纹理可能性，从而可能对应于更复杂的物理现象或更具体的实验预测。这项工作为理解中微子物理学中的复杂纹理提供了一个简化的视角，并为未来的实验探测提供了指导。通过限制矩阵的参数化并寻找最大零纹理，研究人员可以更好地定位可能的理论框架，这些框架不仅能够解释现有的中微子数据，而且还能预测未来可能的观测结果。

Physics Letters B 759 (2016) 206–213

Contents lists available at ScienceDirect

Physics Letters B

www.elsevier.com/locate/physletb

Maximal zero textures in Linear and Inverse seesaw

Roopam Sinha, Rome Samanta, Ambar Ghosal

∗

Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India

a r t i c l e i n f o a b s t r a c t

Article history:

Received

30 March 2016

Accepted

24 May 2016

Available

online 27 May 2016

Editor:

J. Hisano

We investigate Linear and Inverse seesaw mechanisms with maximal zero textures of the constituent

matrices subjected to the assumption of non-zero eigenvalues for the neutrino mass matrix m

and

charged lepton mass matrix m

. If we restrict to the minimally parametrized non-singular ‘m

’ (i.e.,

with maximum number of zeros) it gives rise to only 6 possible textures of m

. Non-zero determinant

of m

dictates six possible textures of the constituent matrices. We ask in this minimalistic approach,

what phenomenologically allowed maximum zero textures are possible. It turns out that Inverse seesaw

leads to 7 allowed two-zero textures while the Linear seesaw leads to only one. In Inverse seesaw, we

show that 2 is the maximum number of independent zeros that can be inserted into μ

to obtain

all 7 viable two-zero textures of m

. On the other hand, in Linear seesaw mechanism, the minimal

scheme allows maximum 5 zeros to be accommodated in ‘m’ so as to obtain viable effective neutrino

mass matrices (m

). Interestingly, we ﬁnd that our minimalistic approach in Inverse seesaw leads to a

realization of all the phenomenologically allowed two-zero textures whereas in Linear seesaw only one

such texture is viable. Next, our numerical analysis shows that none of the two-zero textures give rise

to enough CP violation or signiﬁcant δ

. Therefore, if δ

= π/2is established, our minimalistic scheme

may still be viable provided we allow larger number of parameters in ‘m

’.

(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP

1. Introduction

In Type-I seesaw mechanism the lightness of the observed neu-

trinos

is attributed to a seesaw scale around the GUT scale incor-

porated

in the theory. In this mechanism, right-handed neutrinos

(ν

) incorporated in the seesaw scale are usually identiﬁed with

the mass of the ν

: (M

) lightest of which is constrained from

leptogenesis as M

lightest

≥ 10

GeV [1,2]. Probing the new physics

at such a high scale is far beyond the reach of ongoing collider ex-

periments.

Moreover, apart from experimental accessibility, a the-

oretical

analysis based on naturalness for a hierarchical ν

masses

> M

) put constraints on them as [3]:

≤ 4 × 10

GeV, M

≤ 7 × 10

GeV,

≤ 3 × 10

GeV(

0.05 eV

min

)

(1.1)

where m

min

is the mass of the lightest neutrino. On the other

hand, a seesaw scale in the TeV range can be realized in some

Corresponding author.

E-mail

addresses: roopam.sinha@saha.ac.in (R. Sinha), rome.samanta@saha.ac.in

(R. Samanta),

ambar.ghosal@saha.ac.in (A. Ghosal).

other variants, such as Inverse seesaw, Linear seesaw etc. by pay-

ing

the price in terms of addition of extra singlet neutral fermions

into these mechanisms which can explain the smallness of neu-

trino

mass by a small lepton-number breaking mass matrix. The

ingredients of these two models incorporate, in addition to the

Standard Model singlet right-handed neutrinos {ν

αR

}, a set of sin-

glet

fermions {S

β R

}, where α, β (= 1, 2, 3) are the ﬂavour indices.

The Yukawa sector of such low energy seesaw mechanism is de-

scribed

by the Lagrangian [4–16]

− L

mass

= ν

αL

αβ

β R

+ M

αβ

(ν

αR

)

β R

+ M

αβ

αL

(ν

β L

)

+ μ

αβ

αR

)

β R

+ ν

αL

αβ

β R

+ m

αβ

(ν

αR

)

β R

+ h.c. (1.2)



αL

(ν

β R

)

β R

)



⎛

⎝

m μ

⎞

⎠

⎛

⎝

(

β L

)

β R

⎞

⎠

h.c.

(1.3)

where m

, M, m (since it is due to combination of two differ-

ent

ﬁelds) are the Dirac type and the rest are the Majorana type

mass matrices. Usually the Linear seesaw mechanism is facilitated

with the exclusion of all other lepton number violating mass terms

http://dx.doi.org/10.1016/j.physletb.2016.05.080

0370-2693/

SCOAP

下载后可阅读完整内容，剩余7页未读，立即下载

weixin_38499950

粉丝: 4
资源: 941

最大零纹理研究：线性与反向跷跷板机制

在线性跷跷板上缩放具有纹理零的ansatz

$$ A_4 $$ A4实现线性跷跷板和中微子现象学

线性跷跷板机制中的纹理零点缩放研究

最大似然线性变换在语音识别中的应用

矩阵论课后习题解析：线性空间、秩与零空间

华科大矩阵论课后习题解析：线性空间、秩、零空间与子空间

零磁通霍尔电流传感器设计：提升动态范围与线性度

Backstepping方法在非线性时滞系统控制中的应用

Matlab中symsolvesimul.m函数求解非线性与线性联立方程

探索多元线性回归在房价预测中的应用

最新资源