arXiv subjects

Yuta Hyodo

Publications and source records attributed to Yuta Hyodo.

10 recordsLinked to original sources

arXiv2026

Reply to "Comment on `Unified neutrino mixing and approximate $\mu-\tau$ reflection symmetry'[arXiv:2603.00885]''

Huang and Li [arXiv:2603.00885] have raised the following two points regarding our previous work [arXiv:2502.18029]:(1) The real-value conditions associated with $\mu$-$\tau$ reflection symmetry were overlooked. (2) Inverted Ordering (IO) remains viable when the latest experimental data are taken into account. As they have pointed out, we overlooked an important real-value condition. However, with regard to point (2), we believe that there may be a misunderstanding. In our original study, we excluded IO based on the constraint on the sum of neutrino masses, $\sum m_\nu$. In contrast, they argue that IO remains viable when considering the effective neutrino mass, $|M_{ee}|$. While IO may indeed remain allowed in light of the latest $|M_{ee}|$ data, it is still in tension with the experimental bounds on $\sum m_\nu$ under approximate $\mu-\tau$ symmetry within the discussed model parameter space.

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arXiv2025

Unified neutrino mixing and approximate $\mu$-$\tau$ reflection symmetry

We investigate the phenomenology of a unified neutrino mixing framework, which serves as the origin of well-known neutrino mixing schemes such as the tribimaximal mixing (TBM), bimaximal mixing (BM), golden ratio mixing (GRM) and hexagonal mixing (HM). Our analysis reveals that the predicted sum of neutrino masses derived from an approximate $\mu$-$\tau$ reflection symmetric flavor neutrino mass matrix based on the unified neutrino mixing with an inverted mass ordering, is excluded from DESI2024 and Supernova Ia luminosity distance data. This conclusion implies that TBM, BM, GRM, and HM, under an approximate $\mu$-$\tau$ reflection symmetry with an inverted mass ordering of neutrinos, are also excluded from observations.

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arXiv2024

Scaling in the minimal extended seesaw model

The scaling relations in the two-zero textures of the neutrino mass matrices in the minimal extended seesaw mechanism were discovered by Kumar and Patgiri. We demonstrate that some of these scaling relations can be satisfied without requiring two zero elements in the texture.

hep-ph↗

arXiv2024

Primitive Pythagorean triples and neutrino mixing

The primitive Pythagorean triples are the three natural numbers $(a, b, c)$ that satisfy $c^2=a^2+b^2$ in a right triangle. We constructed a neutrino mixing models related to primitive Pythagorean triples that satisfy the observed values within the $3 \sigma$ region for the reactor, solar, and atmospheric neutrino mixing angles, as well as the Dirac CP phase.

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arXiv2023

Neutrino mixing model for best-fit values of ${\theta}_{12}$ and ${\theta}_{13}$

Recently, the precise observations have yielded values for the neutrino mixing angles, denoted as ${\theta}_{12}$ and ${\theta}_{13}$. Therefore, constructing a neutrino mixing model capable of accurately reflecting a these measurements is crucial. In this paper, we propose a novel neutrino mixing model similar to the trimaximal mixing model. Unlike the trimaximal model that falls short of concurrently replicating the best-fit values of ${\theta}_{12}$ and ${\theta}_{13}$, our proposed mixing model has the ability simultaneously reproduce the best-fit values for both angles.

hep-ph↗

arXiv2023

Modified trimaximal mixing for solar and reactor neutrino mixing angles

The trimaximal mixing scheme is one of the widely studied neutrino mixing schemes. However, the predicted solar neutrino mixing angle $\theta_{12}$ and the reactor neutrino mixing angle $\theta_{13}$ cannot simultaneously realize their best-fit values. To address this issue, a minimal modification to the trimaximal mixing scheme is proposed. The modified trimaximal mixing scheme can simultaneously predict the best-fit values of $\theta_{12}$ and $\theta_{13}$ using an additional real parameter introduced via the modification.

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arXiv2022

Is magic texture for Majorana neutrino immanent in Dirac nature?

The magic textures are successful candidates of the correct texture for the Majorana neutrinos. In this study, we show that some types of magic texture for Majorana neutrinos approximately immanent in the flavor mass matrix for Dirac neutrinos. In addition, it turned out that the normal mass ordering of the Dirac neutrino masses is slightly preferable to the inverted mass ordering in the context of the magic textures.

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arXiv2022

Magic square and three-zero textures for Dirac neutrinos

We show a matrix decomposition of flavor mass matrix for Dirac neutrinos $M$ by sum as $M=M'+M^0$ where $M'$ obeys the feature of the magic square and $M^0$ is three-zero texture. The favorable three-zero textures in the context of magic square are explored. It turned out that so-called the normal ordering of neutrino masses is favored over the inverted ordering in the context of magic square.

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arXiv2021

New magic textures of Majorana neutrinos and baryon asymmetry of the Universe

The magic texture is one of the successful textures of the flavor neutrino mass matrix for Majorana neutrinos. In this paper, it turns out that two new types of magic textures are also consistent with the neutrino oscillation experiments, observation of cosmic microwave background radiation, and neutrinoless double beta decay experiments. The connection between these new magic textures and the leptogenesis scenario of the origin of the baryon asymmetry of the Universe is also discussed.

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arXiv2020

Magic square and Dirac flavor neutrino mass matrix

The magic texture is one of the successful textures of the flavor neutrino mass matrix for the Majorana type neutrinos. The name "magic" is inspired by the nature of the magic square. We estimate the compatibility of the magic square with the Dirac, instead of the Majorana, flavor neutrino mass matrix. It turned out that some parts of the nature of the magic square are appeared approximately in the Dirac flavor neutrino mass matrix and the magic squares prefer the normal mass ordering rather than the inverted mass ordering for the Dirac neutrinos.

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