On the Flavor Structure of Natural Composite Higgs Models & Top Flavor Violation

Abstract

We explore the up flavor structure of composite pseudo Nambu-Goldstone-boson Higgs models, where we focus on the flavor anarchic minimal $SO(5)$ case. We identify the different sources of flavor violation in this framework and emphasise the differences from the anarchic Randall-Sundrum scenario. In particular, the fact that the flavor symmetry does not commute with the symmetries that stabilize the Higgs potential may constrain the flavor structure of the theory. In addition, we consider the interplay between the fine tuning of the model and flavor violation. We find that generically the tuning of this class of models is worsen in the anarchic case due to the contributions from the additional fermion resonances. We show that, even in the presence of custodial symmetry, large top flavor violating rate are naturally expected. In particular, $t\to cZ$ branching ratio of order of $10^{-5}$ is generic for this class of models. Thus, this framework can be tested in the next run of the LHC as well as in other future colliders. We also find that the top flavor violation is weakly correlated with the increase amount of fine tuning. Finally, other related flavor violation effects, such as $t\to ch$ and in the $D$ system, are found to be too small to be observed by the current and near future colliders.

23 pages, 2 figure; v2: minor clarifications added, matches journal version

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• Search for a new scalar resonance in flavour-changing neutral-current top-quark decays $t\to qX$ ($q=u,c$), with $X\to b\bar{b}$, in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for flavor-changing neutral $tqH$ interactions with $H\to \gamma \gamma$ in $pp$ collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector
• Baryon asymmetry generation in the E6CHM
• Search for flavour-changing neutral current interactions of the top quark and the Higgs boson in events with a pair of $\tau$-leptons in pp collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Leveraging on-shell interference to search for FCNCs of the top quark and the Z boson
• The Dynamical Composite Higgs
• Search for flavor-changing neutral current interactions of the top quark mediated by a Higgs boson in proton-proton collisions at 13 TeV
• Investigating Top-Higgs FCNC Couplings at the FCC-hh
• A composite Froggatt-Nielsen model of flavor