Abstract
We analyze the stability of the Higgs sector of a three-site model with flavor-non-universal gauge interactions, whose spectrum of non-Standard-Model states spans three orders of magnitude. This model is inspired by deconstructing a five-dimensional theory where the generation index is in one-to-one relation to the position in the fifth dimension. It provides a good description of masses and mixing of the SM fermions in terms of scale hierarchies. We demonstrate that, within this construction, the mass term of the SM-like Higgs does not receive large corrections proportional to the highest mass scales. The model suffers only of the unavoidable “little hierarchy problem” between the electroweak scale and the lightest NP states, which are expected to be at the TeV scale.
Highlights
JHEP01(2021)191 of freedom stabilizing the Higgs sector are assumed to be flavor blind, but for correction terms proportional to the SM Yukawa couplings
The opposite point of view is that of flavor-non-universal interactions already at the TeV scale. This approach is motivated by the smallness of light fermion masses: if we assume that the Yukawa interactions are the low-energy effect of some new dynamics, it is natural to consider a New Physics (NP) framework with a hierarchical spectrum with TeV scale dynamics coupled only to third generation fermions and heavier states coupled to the light SM fermions
The vacuum expectation value (VEV) of the link fields breaks the chain of gauge groups to the diagonal subgroup, which we identify with the electroweak SM gauge group, or at least with part of it
Summary
The general structure of the models we are interested in is a chain of identical gauge groups, labeled by a flavor (or generation) index i, with each fermion family charged only under one of these gauge groups This structure is inspired by the deconstruction in ordinary four-dimensional (4D) space time of models defined in d = 4 + 1, where the fourth spacial dimension is compact and discretized into three lattice points corresponding to two fundamental intervals, or two fundamental scales. The vacuum expectation value (VEV) of the link fields breaks the chain of gauge groups to the diagonal (flavoruniversal) subgroup, which we identify with the electroweak SM gauge group, or at least with part of it To this underlying gauge and fermion structure, we add a series of Higgs fields, characterized by the flavor index i, which can be interpreted as the remnant of a unique 5D Higgs field with non-trivial dependence on the discretized dimension. The rest of the SM gauge sector, which is not relevant to our discussion, is treated as a flavor-universal group
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