https://doi.org/10.1140/epjp/s13360-022-02706-7
Regular Article
neutrino mixing with
Saha Institute of Nuclear Physics, 1/AF Bidhannagar, 700064, Kolkata, India
Received:
5
December
2020
Accepted:
4
April
2022
Published online:
21
April
2022
We construct a neutrino model using the flavour group under the type 1 seesaw mechanism. The vacuum alignments of the flavons in the model lead to
mixing with
. The mixing also exhibits
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
triplet appearing in the Majorana mass term plays a key role in obtaining the aforementioned
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
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
triplet constructed from these multiplets also becomes uniquely defined.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022