Testing Radiative Neutrino Mass Models at the LHC

Abstract

The Large Hadron Collider provides us new opportunities to search for the origin of neutrino mass. Beyond the minimal see-saw models a plethora of models exist which realise neutrino mass at tree- or loop-level, and it is important to be sure that these possibilities are satisfactorily covered by searches. The purpose of this paper is to advance a systematic approach to this problem. Majorana neutrino mass models can be organised by SM-gauge-invariant operators which violate lepton number by two units. In this paper we write down the minimal ultraviolet completions for all of the mass-dimension 7 operators. We predict vector-like quarks, vector-like leptons, scalar leptoquarks, a charged scalar, and a scalar doublet, whose properties are constrained by neutrino oscillation data. A detailed collider study is presented for $O_3=LLQ\bar{d}H$ and $O_8=L\bar{d}{\bar{e}}^{†}{\bar{u}}^{†}H$ completions with a vector-like quark $\chi \sim (3,2,-\frac{5}{6})$ and a leptoquark $\varphi \sim (\bar{3},1,\frac{1}{3})$. The existing LHC limits extracted from searches for vector-like fermions and sbottoms/stops are $m_{\chi }\gtrsim 620$ GeV and $m_{\varphi }\gtrsim 600$ GeV.

40 pages, 13 figures; references added, minor changes, matches JHEP version

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