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Related papers: Neutrino Mass Sum Rules from Modular $\mathcal{A}_…

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We propose a flavour model based on an $A_4$ symmetry combined with a type-II seesaw mechanism for neutrino mass generation. The resulting neutrino mass matrix obeys a sum rule that, together with the measured mass-squared differences,…

High Energy Physics - Phenomenology · Physics 2026-03-16 Salvador Centelles Chuliá , Ranjeet Kumar

Four different neutrino mass sum-rules have been analyzed: these frequently arise in flavor symmetry models based on the groups A_4, S_4 or T', which are often constructed to generate tri-bimaximal mixing. In general, neutrino mass can be…

High Energy Physics - Phenomenology · Physics 2011-07-22 James Barry , Werner Rodejohann

Sum rules in the lepton sector provide an extremely valuable tool to classify flavour models in terms of relations between neutrino masses and mixing parameters testable in a plethora of experiments. In this manuscript we identify new…

High Energy Physics - Phenomenology · Physics 2021-03-22 Julia Gehrlein , Martin Spinrath

A class of discrete flavor-symmetry-based models predicts constrained neutrino mass matrix schemes that lead to specific neutrino mass sum-rules (MSR). One of these implies in a lower bound on the effective neutrinoless double beta mass…

High Energy Physics - Phenomenology · Physics 2013-05-30 L. Dorame , S. Morisi , E. Peinado , Alma D. Rojas , J. W. F. Valle

We discuss a linear seesaw model with as minimum field content as possible, introducing a modular $S_4$ with the help of gauged $U(1)_{B-L}$ symmetries. Due to rank two neutrino mass matrix, we have a vanishing neutrino mass eigenvalue, and…

High Energy Physics - Phenomenology · Physics 2022-05-04 Takaaki Nomura , Hiroshi Okada

In this paper, we present a systematic investigation on simple inverse seesaw models for neutrino masses and flavor mixing based on the modular $S^{}_4$ symmetry. Two right-handed neutrinos and three extra fermion singlets are introduced to…

High Energy Physics - Phenomenology · Physics 2021-10-01 Xinyi Zhang , Shun Zhou

This research undertakes a comprehensive exploration of neutrino mass model grounded in $A_4$ discrete non-Abelian modular symmetry formulated within a linear seesaw framework that modifies the conventional type-I seesaw structure with a…

High Energy Physics - Phenomenology · Physics 2025-08-14 Muhammad Waheed Aslam , Abrar Ahmad Zafar , Muhammad Naeem Aslam

This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After an introduction to neutrino mass and lepton mixing, we then turn to the main subject of this review, namely a…

High Energy Physics - Phenomenology · Physics 2023-11-17 Gui-Jun Ding , Stephen F. King

Neutrino mass sum rules relate the three neutrino masses within generic classes of flavour models, leading to restrictions on the effective mass parameter measured in experiments on neutrinoless double beta decay as a function of the…

High Energy Physics - Phenomenology · Physics 2015-06-16 Stephen F. King , Alexander Merle , Alexander J. Stuart

Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles.…

High Energy Physics - Phenomenology · Physics 2016-11-22 Julia Gehrlein , Alexander Merle , Martin Spinrath

This paper investigates an inverse seesaw model of neutrino masses based on non-holomorphic modular $A_4$ symmetry, extending the framework of modular-invariant flavor models beyond the conventional holomorphic paradigm. After the general…

High Energy Physics - Phenomenology · Physics 2025-10-30 Xianshuo Zhang , Yakefu Reyimuaji

We study the phenomenological implications of the modular symmetry $\Gamma(3) \simeq A_4$ of lepton flavors facing recent experimental data of neutrino oscillations. The mass matrices of neutrinos and charged leptons are essentially given…

High Energy Physics - Phenomenology · Physics 2018-12-26 Tatsuo Kobayashi , Naoya Omoto , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi

We propose a unique lepton mixing scheme and its association with an exact hierarchy-philic neutrino mass matrix texture in the light of Type-I+Type-II seesaw mechanism under the framework of $A_4 \times Z_{10}$ discrete flavour symmetry.…

High Energy Physics - Phenomenology · Physics 2024-07-24 Manash Dey , Subhankar Roy

We search for predictability of lepton masses and mixing patterns of type-II seesaw scenario in a non-holomorphic modular $A_4$ symmetry recently proposed by Qu and Ding. We propose three types of minimum predictive models with different…

High Energy Physics - Phenomenology · Physics 2025-03-13 Takaaki Nomura , Hiroshi Okada

Describing neutrino masses using the inverse seesaw mechanism with discrete flavor symmetry imposed through modular forms provides a testable framework at TeV scales with fewer parameters. However, $S_3$, the smallest modular group, remains…

High Energy Physics - Phenomenology · Physics 2025-05-01 Mitesh Kumar Behera , Pawin Ittisamai , Chakrit Pongkitivanichkul , Patipan Uttayarat

Assuming the existence of one light sterile neutrino, we investigate the neutrino flavor mixing matrix in matter. Sum rules between the mixing parameters in vacuum and their counterparts in matter are derived. By using these new sum rules,…

High Energy Physics - Phenomenology · Physics 2008-11-26 He Zhang

In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used $\Gamma(3)$ modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$. In this…

High Energy Physics - Phenomenology · Physics 2023-05-03 Jotin Gogoi , Nayana Gautam , Mrinal Kumar Das

The neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz

We study a realization of neutrino masses within the linear seesaw mechanism based on non-holomorphic modular $A_4$ symmetry, extending modular-invariant flavor models beyond the conventional holomorphic framework. The model is constructed…

High Energy Physics - Phenomenology · Physics 2026-02-27 Rudra Majhi , Mitesh Kumar Behera , Rukmani Mohanta

Neutrino mass sum rules are an important class of predictions in flavour models relating the Majorana phases to the neutrino masses. This leads, for instance, to enormous restrictions on the effective mass as probed in experiments on…

High Energy Physics - Phenomenology · Physics 2017-10-11 Martin Spinrath
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