A modular A ₄ symmetric scotogenic model for neutrino mass and dark matter

Abstract

Modular symmetries have been impeccable in neutrino and quark sectors. This motivated us, to propose a variant of scotogenic model based on modular $A_4$ symmetry and realize the neutrino mass generation at one-loop level through radiative mechanism. Alongside, we discuss the lepton flavour violating processes $\mu \to e \gamma$, $\mu \to3e$ and $\mu - e $ conversion in the nucleus. The lightest Dirac fermion turns out to be potential dark matter candidate, made stable by suitable assignment of modular weights. The relic density of the same has been computed with annihilations mediated by inert scalars and new $U(1)$ gauge boson. The LEP-II and ATLAS dilepton constraints on the new gauge parameters are suitably considered to show the consistent parameter region.

A note on the interplay of neutrino and dark matter physics

“…供暗物质粒子候选者, 其中被讨论和研究得最多的 被称为暗生中微子质量模型(Scotogenic 模型). Scoto-genic模型最早是由Ma [197] [198][199][200] 、 ∆( 27) [201,202] , 连 续 对 称性U(1) L µ −L τ [203][204][205] 、U(1) D [202,206] 、U(1) B−L [207][208][209][210] , 或者是模对称性S 3 [211] 、A 4 [212,213] 、S 4 [214] ; 将模型中 的右手中微子替换成三重态费米子 [215,216] , 或是引入 额外的粒子, 如单态标量粒子 [217][218][219] 、 三重态标量粒 子 [220][221][222] 、 带颜色的标量粒子和费米子 [223] ; 将原有 模型中的三代右手中微子和一个二重态标量粒子推广 到多个右手中微子和多个二重态标量粒子 [224] 等; 对 于所有可能的紫外扩充的讨论可见文献 [225]. 类似的 可以在单圈图层次实现中微子质量和提供暗物质候选 者的模型还有许多, 比如文献 [226][227][228][229][230][231][232][233][234][235][236][237][238][239][240][241]…”

Fermi-LAT GeV excess and muon $g-2$ in a modular $A_4$ symmetry

“…1 In addition to the lepton sector, leptogenesis is discussed in refs. [48][49][50][51][52][53][54]. Semi-leptonic flavor changing neutral processes such as b → s ¯ , lepton flavor violations (LFVs), muon/electron g − 2, and EDM are mainly discussed in refs.…”

Type III seesaw under $A_4$ modular symmetry with leptogenesis and muon $g-2$

“…Therefore, a clever approach of modular symmetry [54][55][56][57][58] is introduced to breach the scenario of flavon fields. In here, the approach involves discrete symmetry group because they are isomorphic to finite modular groups, for example, Γ 2 S 3 [59][60][61][62], Γ 3 A 4 [63][64][65][66][67][68], Γ 4…”