Anarchy with linear and bilinear interactions

Abstract

Composite Higgs models with anarchic partial compositeness require a scale of new physics $\mathcal{O}(10-100)$ TeV, with the bounds being dominated by the dipole moments and ${\epsilon }_K$. The presence of anarchic bilinear interactions can change this picture. We show a solution to the SM flavor puzzle where the electron and the Right-handed quarks of the first generation have negligible linear interactions, and the bilinear interactions account for most of their masses, whereas the other chiral fermions follow a similar pattern to anarchic partial compositeness. We compute the bounds from flavor and CP violation and show that neutron and electron dipole moments, as well as ${\epsilon }_K$ and $\mu \to e\gamma$, are compatible with a new physics scale below the TeV. $\Delta F=2$ operators involving Left-handed quarks and $\Delta F=1$ operators with $d_L$ give the most stringent bounds in this scenario. Their Wilson coefficients have the same origin as in anarchic partial compositeness, requiring the masses of the new states to be larger than $\mathcal{O}(6-7)$ TeV.

26 pages

References in corpus (12)

• A custodial symmetry for Zbb
• The Flavor of the Composite Pseudo-Goldstone Higgs
• Flavor from Minimal Flavor Violation & a Viable Randall-Sundrum Model
• On Partial Compositeness and the CP asymmetry in charm decays
• Probing the Randall-Sundrum geometric origin of flavor with lepton flavor violation
• Composite Higgs-Mediated FCNC
• A GIM Mechanism from Extra Dimensions
• Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach
• Minimal Flavor Protection: A New Flavor Paradigm in Warped Models
• A Simple Flavor Protection for RS
• On Flavour and Naturalness of Composite Higgs Models
• Muon Magnetic Moment and the Goldstone Boson Higgs