Implications of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1038" altimg="si60.svg"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math> modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Behera, Mitesh Kumar; Mishra, Subhasmita; Singirala, Shivaramakrishna; Mohanta, Rukmani

doi:10.1016/j.dark.2022.101027

Cited by 27 publications

(2 citation statements)

References 145 publications

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“…When this modulus acquires the vacuum expectation value (VEV), it breaks the flavor symmetry. In this work, we would like to study the neutrino phenomenology and leptogenesis in the context of discrete 𝐴 4 modular symmetry [6]. Modular symmetries have been impeccable in neutrino and quark sectors as the Yukawa couplings transform non-trivially under 𝐴 4 symmetry, that helps to explore the neutrino phenomenology with a specific flavor structure of the mass matrix.…”

Section: Introductionmentioning

confidence: 99%

Implications of $A_4$ modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Mohanta,

S Singirala

2023

Proceedings of 21st Conference on Flavor Physics and CP Violation — PoS(FPCP2023)

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Motivated by the crucial role played by the discrete flavour symmetry groups in explaining the observed neutrino oscillation data, we consider the application 𝐴 4 modular symmetry in the linear seesaw framework. The basic idea behind using the modular symmetry is to minimize the usage of multiple flavon fields having specific vacuum expectation value (VEV) alignments. The breaking of flavor symmetry takes place when the complex modulus 𝜏 acquires VEV. Linear seesaw in this framework is realized with six heavy 𝑆𝑈 (2) 𝐿 singlet fermion superfields and a weighton. We discuss the phenomena of neutrino mixing and show that the obtained mixing angles and CP violating phase in this framework are compatible with the observed 3𝜎 range of the current oscillation data. In addition, we also investigate the phenomenon of leptogenesis arising from the decay of lightest heavy fermion superfield to explain the observed baryon asymmetry of the Universe.

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Section: Introductionmentioning

confidence: 99%

Implications of $A_4$ modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Mohanta,

S Singirala

2023

Proceedings of 21st Conference on Flavor Physics and CP Violation — PoS(FPCP2023)

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“…However, flavon fields introduce non-renormalizable higher dimensional components into the picture, which decreases the model's predictability. Therefore, a new approach of modular symmetry [1] has recently been seen in myriad literature [2][3][4][5][6] whose soul aim is to transform the Yukawa couplings into modular forms and reduce the usage of flavon fields. One such kind being Γ(5) ≈ A 5 which is a double cover [7] of the A 5 symmetry as discussed below.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological aspects of $A_5^\prime$ modular symmetry on linear seesaw with leptogenesis

Behera¹

2022

Proceedings of 41st International Conference on High Energy Physics — PoS(ICHEP2022)

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In the linear seesaw framework, we analyse the implications of modular A 5 symmetry on neutrino oscillation phenomenology. To preserve the holomorphic aspect of the superpotential, we incorporate six heavy fermion superfields along with a pair of weightons to establish the well defined mass structure for the light active neutrinos as needed by the linear seesaw mechanism. Modular symmetry has the advantage of considerably reducing the need of flavon fields. Furthermore, the Yukawa couplings alter non-trivially under the flavour symmetry group and are described in terms of Dedekind eta functions, whose q expansion simplifies computations numerically. We show that the model framework meticulously accounts for all neutrino oscillation data. In addition, we investigate the implications of CP asymmetry resulting from the lightest heavy fermion decay in explaining the observed baryon asymmetry through leptogenesis.

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Phenomenological Aspects of $$S_3$$ Modular Symmetry on Linear Seesaw with Leptogenesis

Mishra,

Behera

2024

Springer Proceedings in Physics

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Implications of A4 modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Cited by 27 publications

References 145 publications

Implications of $A_4$ modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Implications of $A_4$ modular symmetry on neutrino mass, mixing and leptogenesis with linear seesaw

Phenomenological aspects of $A_5^\prime$ modular symmetry on linear seesaw with leptogenesis

Phenomenological Aspects of $$S_3$$ Modular Symmetry on Linear Seesaw with Leptogenesis

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