Quantum Aspects of Natural Top Quark Condensation

Journal Article · Mon Jul 28 00:00:00 EDT 2025 · No journal information

OSTI ID:3019430

Hill, Christopher T. ^[1]

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1. Fermilab; Wisconsin U., Madison

In top quark condensation the Brout-Englert-Higgs (BEH) boson is a $$\bar{t}t$$ bound state. With a UV completion of a single coloron exchange interaction, a recent semiclassical treatment gave a novel theory of the BEH boson as an extended object with composite scale $$M_0\sim 6$$ TeV. Presently we obtain the semiclassical theory as an effective action, using the source/Legendre transformation techniques of Jackiw, \etal, and fermion loop effects in the large-$$N_c$$ limit by deploying an auxiliary field to implement the sum of leading fermion loop diagrams. The theory remains natural at the loop level, with fine tuning at the level of a few %, and the effective coupling of the 4-fermion interaction, $$\bar{g}_0^2$$, is significantly enhanced by quantum loops over the fundamental coloron coupling, $$g_0^2$$. Hence a relatively weaker ``topcolor'' theory can produce critical coupling in the effective BEH bound state theory.

• Research Organization: Wisconsin U., Madison; Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: 89243024CSC000002
• OSTI ID: 3019430
• Report Number(s): Delafield-0820-2025; FERMILAB-PUB-25-0540; oai:inspirehep.net:2955166; arXiv:2507.21243
• Journal Information: No journal information, Journal Name: No journal information
• Country of Publication: United States
• Language: English