Natural top quark condensation (a redux)

Journal Article · Fri Jun 20 00:00:00 EDT 2025 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2025.116987· OSTI ID:2563130

Hill, Christopher T. ^[1]

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1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Wisconsin, Madison, WI (United States)

The Nambu--Jona-Lasinio (NJL) model involves a pointlike 4-fermion interaction. While it gives a useful description of chiral dynamics (mainly in QCD), it nonetheless omits the crucially important internal wave-function of a two-body bound state, $$\phi(r)$$. This becomes significant near critical coupling where $$\phi(r)$$ extends to large distance, leading to dilution and suppression of induced couplings $$\propto \phi(0)$$, such as the Yukawa and quartic couplings, as well as reduced fine-tuning of a hierarchy. In top quark condensation, where the BEH boson is a $$\bar{t}t$$ bound state and we have a UV completion such as topcolor, we must go beyond the NJL model and include effects of $$\phi(r)$$. We provide a formulation of this for the Brout-Englert-Higgs boson, and find that it leads to an extended $$\phi(r)$$, a significantly reduced and natural composite scale of $$M_0 \sim 6$$ TeV, a successful prediction for the quartic coupling, $$\lambda$$, and fine tuning that is reduced to a few percent, providing a compelling candidate solution to the naturalness problem of the BEH boson. The theory is testable and new physics should begin to emerge on the multi-TeV mass scales and possibly accessible to the LHC.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Wisconsin, Madison, WI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: 89243024CSC000002
• OSTI ID: 2563130
• Report Number(s): FERMILAB-PUB--25-0219-T; arXiv:2503.21518; oai:inspirehep.net:2904970
• Journal Information: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 1018; ISSN 0550-3213
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

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