Linear Seesaw in A5′ Modular Symmetry With Leptogenesis

Behera, Mitesh Kumar; Mohanta, Rukmani

doi:10.3389/fphy.2022.854595

Cited by 17 publications

(8 citation statements)

References 95 publications

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“…The quotient group of infinite modular groups defined as Γ N = Γ/ Γ(N ) leads to finite Modular groups. These groups (Γ N ) are isomorphic to the permutation groups such as Γ 2 S 3 [37,38], Γ 3 A 4 [39][40][41][42][43], Γ 4 S 4 [44][45][46] and Γ 5 A 5 [47,48].…”

Section: Jcap03(2023)010mentioning

confidence: 99%

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry

Kashav

Verma

2023

J. Cosmol. Astropart. Phys.

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The topological classification of one-loop Weinberg operator at dimension-5 leads to systematic categorization of one-loop neutrino mass models. All one-loop neutrino mass models must fall in one of these categories. Among these topological categories, loop extension of canonical seesaw scenarios is interesting in light of the current LHC run. Apart from one-loop contribution, these extensions result in dominant tree-level contribution to neutrino masses. The immediate remedy to obtain dominant one-loop contribution requires combination of flavor symmetries and enlarged field content. Alternatively, in this work, we propose a minimal way of realizing the topological structures with dominant one-loop contribution using modular variant of the permutation symmetries. In such a realization, no new fields are needed apart from those permitted by the topology itself. For the first time, we have realized one such topological Lorentz structure(T4-2-i) pertaining to one-loop extension of Type-II seesaw using modular A4 symmetry. Here, modular weights play an important role in suppressing tree-level terms and stabilizing the particles running in the loop(Ni , ρ and ϕ), thus, making them suitable dark matter candidates. In this work, we have explored the possibility of fermionic dark matter candidate where right-handed neutrino (N 1) is assumed to be lightest. We have, also, analyzed the compatibility of the model with neutrino oscillation data and obtained model predictions for effective Majorana mass Mee and CP violation. Furthermore, the predictions on relic density of dark matter and its direct detection considering bound on lepton flavor violating process, μ → eγ have, also, been investigated.

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Section: Jcap03(2023)010mentioning

confidence: 99%

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry

Kashav

Verma

2023

J. Cosmol. Astropart. Phys.

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“…The quotient group of infinite modular groups defined as Γ N = Γ/ Γ(N ) leads to finite Modular groups. These groups (Γ N ) are isomorphic to the permutation groups such as Γ 2 ≃ S 3 [25,26], Γ 3 ≃ A 4 [27][28][29][30][31], Γ 4 ≃ S 4 [32][33][34] and Γ 5 ≃ A 5 [35,36].…”

Section: Modular Symmetry and Permutation Groupsmentioning

confidence: 99%

On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A$_4$ Modular Symmetry

Kashav¹,

Verma²

2022

Preprint

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Topological classification of one-loop Weinberg operator at dimension-5 leads to systematic categorization of one-loop neutrino mass models. All one-loop neutrino mass models must fall in one of these categories. Among these topological categories, loop extension of canonical seesaw scenarios is interesting in light of the current LHC run. Apart from one-loop contribution, these extensions result in dominant tree-level contribution to neutrino masses. In order to have dominant one-loop contribution, one requires suppression of tree-level contribution which cannot be accomplished using the cyclic, continuous or discrete flavor symmetries alone. The immediate remedy to obtain dominant one-loop contribution requires combination of flavor symmetries and enlarged field content. Alternatively, in this work, we propose a minimal way of realizing the topological structures with dominant one-loop contribution using modular variant of the permutation symmetries. In such a realization, no new fields are needed apart from those permitted by the topology itself. We have realized one such topological Lorentz structure(T4-2-i) pertaining to one-loop extension of Type-II seesaw using modular A4 symmetry. Here, modular weights play an important role in suppressing tree-level terms and stabilizing the particles running in the loop(Ni, ρ and φ), thus, making them suitable dark matter candidates. In fact, the model accommodates possibility of scalar or fermionic dark matter candidate depending on whichever is lightest. We have, also, analyzed the viability of the model under neutrino oscillation data and obtained model predictions for effective Majorana mass Mee and CP violation.

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“…The seesaw mechanism utilised here is linear seesaw [8], therefore, the extra particles are the RH and LH neutrinos along with other SM particles as presented in Table 1, where k I being the modular weight. Therefore, we are able to write the relevant superpotential to retain the linear seesaw mass structure given below…”

Section: Model Frameworkmentioning

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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Linear Seesaw in A5′ Modular Symmetry With Leptogenesis

Cited by 17 publications

References 95 publications

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry

On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A$_4$ Modular Symmetry

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

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Linear Seesaw in A5′ Modular Symmetry With Leptogenesis

Cited by 17 publications

References 95 publications

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A4 modular symmetry

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A4 modular symmetry

On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A$_4$ Modular Symmetry

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

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On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry

On minimal realization of topological Lorentz structures with one-loop seesaw extensions in A₄ modular symmetry