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We propose an inverse seesaw model with large $SU(2)_L$ multiplets applying modular $A_4$ symmetry where $SU(2)_L$ quartet and septet fermions are introduced as triplets under the symmetry. The neutral components of the quartet contribute…

High Energy Physics - Phenomenology · Physics 2020-07-31 Takaaki Nomura , Hiroshi Okada

In the modular symmetry approach to neutrino models, the flavour symmetry emerges as a finite subgroup $\Gamma_N$ of the modular symmetry, broken by the vacuum expectation value (VEV) of a modulus field $\tau$. If the VEV of the modulus…

High Energy Physics - Phenomenology · Physics 2026-01-13 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu , Jun-Nan Lu

The present work is inspired by the application of $A_4$ modular symmetry in the linear seesaw framework, which restricts the use of multiple flavon fields. Linear seesaw is realized with six heavy $SU(2)_L$ singlet fermion superfields and…

High Energy Physics - Phenomenology · Physics 2022-04-26 Mitesh Kumar Behera , Subhasmita Mishra , Shivaramakrishna Singirala , Rukmani Mohanta

We study lepton flavor models with the $S_4$ flavor symmetry. We construct simple models with smaller numbers of flavon fields and free parameters, such that we have predictions among lepton masses and mixing angles. The model with a $S_4$…

High Energy Physics - Phenomenology · Physics 2015-05-28 Hajime Ishimori , Tatsuo Kobayashi

We make an investigation of modular $\Gamma^{\prime}_5 \simeq A^{\prime}_5$ group in inverse seesaw framework. Modular symmetry is advantageous because it reduces the usage of extra scalar fields significantly. Moreover, the Yukawa…

High Energy Physics - Phenomenology · Physics 2022-03-09 Mitesh Kumar Behera , Rukmani Mohanta

In this paper, we incorporate the modular $S^{}_4$ flavor symmetry into the supersymmetric version of the minimal type-I seesaw model, in which only two right-handed neutrino singlets are introduced to account for tiny Majorana neutrino…

High Energy Physics - Phenomenology · Physics 2020-10-21 Xin Wang , Shun Zhou

We propose a minimal extension of the Standard Model with right-handed neutrinos, governed by a non-holomorphic $A_{4}$ modular flavor symmetry. Within this model framework, the light neutrino masses are generated via the popular type-I…

High Energy Physics - Phenomenology · Physics 2026-02-13 Swaraj Kumar Nanda , Maibam Ricky Devi , Sudhanwa Patra

In the modular invariant flavor model of $\rm A_4$, we study the hierarchical structure of lepton/quark flavors at nearby fixed points of $\tau=i$ and $\tau=\omega$ of the modulus, which are in the fundamental domain of $\rm…

High Energy Physics - Phenomenology · Physics 2021-01-13 Hiroshi Okada , Morimitsu Tanimoto

We revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we have more possible finite modular groups including…

High Energy Physics - Phenomenology · Physics 2022-04-13 Xiang-Gan Liu , Gui-Jun Ding

The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level $N$ polyharmonic Maa{\ss} forms satisfying the Laplacian condition. We find that the integer (even) weight polyharmonic Maa{\ss} forms…

High Energy Physics - Phenomenology · Physics 2024-07-22 Bu-Yao Qu , Gui-Jun Ding

In this paper, we analyse resonant leptogenesis in a low scale inverse seesaw model with $A_4$ flavor symmetry, in a model we explored earlier to explain light neutrino masses and mixings, and also charged lepton flavor violating decay…

High Energy Physics - Phenomenology · Physics 2023-05-04 Maibam Ricky Devi , Kalpana Bora

We explore an $A_4$-symmetric flavor based left-right symmetric model with linear seesaw mechanism and study the associated neutrino phenomenology. The framework offers the advantage of studying neutrino mass, non-unitarity effects in…

High Energy Physics - Phenomenology · Physics 2020-02-18 Purushottam Sahu , Sudhanwa Patra , Prativa Pritimita

We construct lepton flavour models based on two $A_4$ modular symmetries. The two $A_4$ are broken by a bi-triplet field to the diagonal $A_4$ subgroup, resulting in an effective modular $A_4$ flavour symmetry with two moduli. We employ…

High Energy Physics - Phenomenology · Physics 2022-06-15 Ivo de Medeiros Varzielas , João Lourenço

In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group $\Gamma_5 \simeq A_5$. We explicitly construct a basis…

High Energy Physics - Phenomenology · Physics 2019-05-02 P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov

We consider tri-bimaximal lepton mixing within low-scale seesaw schemes where light neutrino masses arise from TeV scale physics, potentially accessible at the Large Hadron Collider (LHC). Two examples are considered, based on the A4 flavor…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Hirsch , S. Morisi , J. W. F. Valle

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

We discuss the $SU(5)$ grand unified extension of flavour models with multiple modular symmetries. The proposed model involves two modular $S_4$ groups, one acting in the charged fermion sector, associated with a modulus field value…

High Energy Physics - Phenomenology · Physics 2021-05-06 Stephen F. King , Ye-Ling Zhou

We study flavor phenomenologies in a basis of a double covering of modular $A_4$ group with a hidden $SU(2)$ symmetry, in which we work on regions at nearby two fixed points and three special points. These special points of…

High Energy Physics - Phenomenology · Physics 2023-10-27 Keiya Ishiguro , Takaaki Nomura , Hiroshi Okada , Yuta Orikasa , Hajime Otsuka

In this work, we have implemented $A_4$ modular symmetry in the left-right symmetric linear seesaw model. Interestingly, such modular symmetry restricts the proliferation of flavon fields, and as a result, the predictibility of the model is…

High Energy Physics - Phenomenology · Physics 2024-09-19 Raktima Kalita , Mahadev Patgiri

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