Abstract
We show a symmetry that, in the context of a composite Higgs with anarchic flavor, can suppress the dominant CP violating contributions to \( K-\overline{K} \) mixing. Based on previous extensions of SU(3) c , we consider the case in which the composite sector has a global SU(6) symmetry, spontaneously broken to a subgroup containing SU(3)×SU(3). We show that the interactions with the Standard Model can spontaneously break the remaining symmetry to the diagonal subgroup, identified with the group of color interactions, and naturally suppress ϵ K . We consider this scenario in the context of the Minimal Composite Higgs Model based on SO(5)/SO(4) for the electroweak sector. By working in the framework of 2-site models, we compute the scalar potential, determine the conditions for a successful breaking of the symmetries and calculate the spectrum of lightest states. We find that ϵ K can be suppressed and the top mass reproduced for a large region of the parameter space where the symmetries are dynamically broken. We also find a suppression of the Wilson coefficient of dipole operators, particularly interesting for the neutron dipole moments. Besides other new resonances, the model predicts the presence of a new singlet scalar state, generally lighter than the Higgs, that could have evaded detection at colliders.
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Da Rold, L., Davidovich, I.A. A symmetry for ϵ K . J. High Energ. Phys. 2017, 135 (2017). https://doi.org/10.1007/JHEP10(2017)135
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DOI: https://doi.org/10.1007/JHEP10(2017)135