Any additional SM-like neutral Higgs boson is expected to be heavy as it would incur extremely tight constraints from electroweak precision tests as well as from its non-observation at the LHC. A class of flavor models exists which predicts exotic neutral Higgses which, unlike the SM Higgs boson, do not have couplings to VV pair (V = W,Z), and their Yukawa couplings are purely flavor off-diagonal (tc, tu, bs, bd, ... type, without having any uu, tt, bb, ... type diagonal couplings). By virtue of these two properties they can bypass the stringent constraints mentioned above, provided the off-diagonal Yukawa couplings are not too large to attract some other constraints. Such exotic states can be light. The sizes of those flavor off-diagonal Yukawas are generally fixed by the requirement of correct reproduction of the quark masses and mixing in specific flavor models. But in this talk I shall take a model independent approach -- simply assume the presence of one such scalar and a pseudo-scalar - both light - having off-diagonal Yukawa couplings whose sizes are restricted by flavor observables, and focus on how to dig out those states from the LHC data.
With support from FCT through project UIDB/00777/2020