$\text {TM}_1$ neutrino mixing with $\sin \theta _{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$ - INSPIRE

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$\text {TM}_1$ neutrino mixing with $\sin \theta _{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$

R. Krishnan
(
- Saha Inst.
)

Dec 5, 2019

23 pages

Published in:

Eur.Phys.J.Plus 137 (2022) 4, 496

Published: Apr 21, 2022

e-Print:

1912.02451 [hep-ph]

DOI:

10.1140/epjp/s13360-022-02706-7

View in:

ADS Abstract Service

reference search7 citations

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Abstract: (Springer)

We construct a neutrino model using the flavour group

S_4\times C_4 \times C_3{ \times C_2}

under the type 1 seesaw mechanism. The vacuum alignments of the flavons in the model lead to

\text {TM}_1

mixing with

\sin \theta _{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}

. The mixing also exhibits

\mu \text {-}\tau

reflection symmetry. By fitting the eigenvalues of the effective seesaw mass matrix with the observed neutrino mass-squared differences, we predict the individual light neutrino masses. The vacuum alignment of the

S_4

triplet appearing in the Majorana mass term plays a key role in obtaining the aforementioned

\text {TM}_1

scenario. Since the symmetries of the flavour group are not sufficient to define this alignment, we apply the recently proposed framework of the auxiliary group in our model. Using this framework, the

S_4

triplet is obtained by coupling together several irreducible multiplets that transform under an expanded flavour group consisting of the original flavour group as well as an auxiliary group. The vacuum alignment of each of these multiplets is uniquely defined in terms of its residual symmetries under the expanded flavour group. As a result, the

S_4

triplet constructed from these multiplets also becomes uniquely defined.

Note:

17 pages, 5 figures, matches the version published in Eur. Phys. J. Plus

neutrino: model
symmetry: flavor
symmetry: reflection
symmetry: S(4)
seesaw model
flavon
neutrino: mass
neutrino: Majorana: mass
neutrino: mixing
neutrino: mixing angle

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