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Electroweak Symmetry Breaking by Condensates of Fermions in High Color Representations


Klett,  Sophie Elaine
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Klett, S. E. (2020). Electroweak Symmetry Breaking by Condensates of Fermions in High Color Representations. Master Thesis, Ruprecht-Karls-Universität, Heidelberg.

Cite as: http://hdl.handle.net/21.11116/0000-0007-DB52-6
In this thesis we investigate fundamental features of a mechanism that attempts to explain the origin of the electroweak scale by the condensation of fermions in high color representations. Since chiral symmetry in the new fermion sector is dynamically broken due to non-perturbative effects of the running strong coupling this mechanism provides a natural explanation for the scale of the condensate by dimensional transmutation. Electroweak symmetry breaking (EWSB) could then be triggered indirectly via a singlet scalar mediator which couples to the Standard Model Higgs boson and the new fermion sector. In our analysis particular focus is put to the impact of the representation on the condensate and the significance of vector-like fermion masses which explicitly break chiral symmetry. In doing so, we solve the Dyson-Schwinger equation for the fermion propagator within the rainbow-approximation and analyze the behavior of the dynamical mass. In the chiral limit, we find a comparatively larger expectation value (EV) of the condensate for fermions in high representations than for the fundamental representation. A property reflecting the larger Casimir invariants of higher representations. For massive fermions, we propose a method to isolate the non-perturbative contributions to the propagator from the perturbative ones and calculate a lower bound for the EV of the condensate. Our result suggests that in absolute numbers the EV of the condensate increases with mass, while its relative contribution to the dynamical mass diminishes. On the basis of these results, we believe the condensation of a high color fermion with an explicit mass of the order ~10TeV could successfully create the scale of EWSB.