Phenomenology in Minimal Cascade Seesaw for Neutrino Mass

Abstract

We make a comprehensive analysis on the phenomenology in the minimal version of cascade seesaw for tiny neutrino mass. The seesaw induces at tree level a neutrino mass operator at dimension nine, by introducing a quadruple scalar $\Phi$ of hypercharge unity and a quintuple fermion $\Sigma$ of hypercharge zero. We work in a framework that handles the complicated Yukawa couplings in a nice way without losing generality. All mixing matrices are essentially expressed in terms of the vacuum expectation value of the quadruple scalar v_Φ, a free complex parameter, and known neutrino parameters. We show that the low-energy lepton flavor violating transitions of the charged leptons set strong constraints on the free parameters. The constraints have a significant impact on collider physics, and are incorporated in our signal analysis at the LHC. We investigate the signatures of new particles by surveying all potentially important channels. We find that the 4j2\ell^\pm signal is most important for the detection of the scalars and the 2\ell^{\pm}2\ell^{\mp}2j, 3\ell^{\pm}\ell^{\mp}2j and 3\ell^{\pm}2\ell^{\mp}+\cancel{E_T} signals are quite promising for the fermions.

v1: 48 pages, including 18 figures and 10 tables; v2: version to appear in PRD, 50 pages, including 19 figures and 10 tables, changes are: (1) detailed discussion of LFV constraints on parameters together with a new figure (Fig. 3); (2) more refs; (3) typos and grammatical issues fixed

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• Search for exotic leptons in final states with two or three leptons and fat-jets at 13 TeV LHC