Abstract
We extend the Zee-Babu model introducing local $U(1)_{L_\mu - L_\tau}$ symmetry with several singly-charged bosons. We find a predictive neutrino mass texture in a simple hypothesis that mixings among singly-charged bosons are negligible. Also lepton flavor violations are less constrained compared with the original model. Then we explore testability of the model focussing on a doubly-charged boson physics at the LHC and the ILC.
Highlights
Radiative seesaw models are one of the promising candidates to establish a neutrino mass matrix radiatively and to have high testability for new physics at current and future experiments
Because of restricted Yukawa couplings resulting from the additional symmetry, we have found a predictive neutrino texture in a simple hypothesis in which mixings among singly charged scalar bosons are negligibly tiny
The structure of the neutrino mass matrix constrains the relative values of the Yukawa couplings associated with the doubly charged scalar, and the masses of charged scalars are preferred to be around the TeV scale
Summary
Radiative seesaw models are one of the promising candidates to establish a neutrino mass matrix radiatively and to have high testability for new physics at current and future experiments. The Zee-Babu model is the minimal scenario that does not require any additional fermions but only two charged bosons, a singly charged one (hÆ) and a doubly charged one (kÆÆ) [1], where the neutrino mass matrix arises at the two-loop level. We extend the original Zee-Babu model by imposing a gauged Uð1ÞLμ−Lτ symmetry with several singlet bosons having Lμ − Lτ charge in which the Yukawa couplings associated with neutrino mass generation are constrained by the symmetry realizing predictable. We introduce our model in which neutrino masses are generated at two-loop level and Uð1ÞLμ−Lτ gauge symmetry is imposed. We introduce SM singlet scalar φ with Lμ − Lτ charge to break Uð1ÞLμ−Lτ gauge symmetry and to give mass to the Z0 boson from the new Uð1Þ. Hþþ h−−1 þ ðμkhkþþh−0 h−0 þ μkhkþþh−−1h−þ1 þ μφhφhþ−1h−0 þ μφhφÃhþþ1h−0 þ c:c:Þ þ ðλφhkφkþþh−−1h−0 þ λφhkφÃkþþh−þ1h−0 þ c:c:Þ þ λHkþþ ðH†HÞðkþþk−−Þ þ λHhþ−1 ðH†HÞðhþ−1h−þ1Þ þ λHhþþ ðH†HÞðhþþ1h−−1Þ þ λHhþ0 ðH†HÞðhþ0 h−0 Þ þ λφkþþ jφj2ðkþþk−−Þ þ λφhþ−1 jφj2ðhþ−1h−þ1Þ þ λφhþþ jφj2ðhþþ1h−−1Þ þ λφhþ0 jφj2ðhþ0 h−0 Þ þ λHφjφj2ðH†HÞ þ ðquartic terms for charged scalarsÞ; ð2:3Þ where we have omitted writing quartic terms containing only charged scalar fields and the coupling constants are assumed to be real for simplicity
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