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<p>Assuming that neutrinos are Majorana particles, we have realized two-zero textures using the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\varvec{\Gamma }_{\varvec{3}}\)</EquationSource> </InlineEquation> modular group. The <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\varvec{\Gamma }_{\varvec{3}}\)</EquationSource> </InlineEquation> modular group is a finite modular group isomorphic to the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\varvec{A}_{\varvec{4}}\)</EquationSource> </InlineEquation> group. By assigning the matter fields of the model to irreducible representations of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\varvec{A}_{\varvec{4}}\)</EquationSource> </InlineEquation> and choosing appropriate modular weights, we successfully construct two-zero textures of the neutrino mass matrix. The model is based on the left-right symmetric model (LRSM), where the active neutrino masses are generated via type-II seesaw dominance. To achieve this dominance, the particle content of the LRSM is extended by introducing one sterile fermion per generation, and the scalar sector is augmented by adding scalar doublets (<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\varvec{\chi }_{\varvec{L}}\varvec{,} \varvec{\chi }_{\varvec{R}}\)</EquationSource> </InlineEquation>). After constructing the two-zero textures, we compute the neutrino oscillation parameters and effective Majorana mass due to standard contribution of neutrinoless double beta decay for each texture. We find that the textures can successfully reproduce the neutrino oscillation parameters and the effective Majorana mass.</p>

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Realisation of two–zero texture of neutrino mass matrix using \(\Gamma _{3}\) modular group with type–II seesaw dominance in left–right symmetric model

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Bhabana Kumar,
  • Debajyoti Dutta,
  • Mrinal Kumar Das

摘要

Assuming that neutrinos are Majorana particles, we have realized two-zero textures using the \(\varvec{\Gamma }_{\varvec{3}}\) modular group. The \(\varvec{\Gamma }_{\varvec{3}}\) modular group is a finite modular group isomorphic to the \(\varvec{A}_{\varvec{4}}\) group. By assigning the matter fields of the model to irreducible representations of \(\varvec{A}_{\varvec{4}}\) and choosing appropriate modular weights, we successfully construct two-zero textures of the neutrino mass matrix. The model is based on the left-right symmetric model (LRSM), where the active neutrino masses are generated via type-II seesaw dominance. To achieve this dominance, the particle content of the LRSM is extended by introducing one sterile fermion per generation, and the scalar sector is augmented by adding scalar doublets ( \(\varvec{\chi }_{\varvec{L}}\varvec{,} \varvec{\chi }_{\varvec{R}}\) ). After constructing the two-zero textures, we compute the neutrino oscillation parameters and effective Majorana mass due to standard contribution of neutrinoless double beta decay for each texture. We find that the textures can successfully reproduce the neutrino oscillation parameters and the effective Majorana mass.