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相关论文: Modular flavor models with positive modular weight…

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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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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 $S_4$…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 唯象学 · 物理学 2025-05-01 Mitesh Kumar Behera , Pawin Ittisamai , Chakrit Pongkitivanichkul , Patipan Uttayarat