The Zee-Babu model is a minimal realization of radiative neutrino mass
generation mechanism at the two-loop level. We study the phenomenology of this
model at future multi-TeV muon colliders. After imposing all theoretical and
low-energy experimental constraints on the model parameters, we find that the
Zee-Babu states are expected not to reside below the TeV scale, making it
challenging to probe them at the LHC. We first analyze the production rates for
various channels, including multi singly-charged and/or doubly-charged scalars
at muon colliders. For concreteness, we study several benchmark points that
satisfy neutrino oscillation data and other constraints and find that most
channels have large production rates. We then analyze the discovery reach of
the model using two specific channels: the pair production of singly- and
doubly-charged scalars. For the phenomenologically viable scenarios considered
in this study, charged scalars with masses up to O(3--4) TeV can be
probed for the center-of-mass energy of 10 TeV and total luminosity of
10 ab−1.Comment: 27 pages, 10 figures and 5 table