Natural Top Quark Condensation (a Redux)
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912376494751744 |
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| author | Hill, Christopher T. |
| author_facet | Hill, Christopher T. |
| contents | 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, $ϕ(r)$. This becomes significant near critical coupling where $ϕ(r)$ extends to large distance, leading to dilution and suppression of induced couplings $\propto ϕ(0)$, 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 $ϕ(r)$. We provide a formulation of this for the Brout-Englert-Higgs boson, and find that it leads to an extended $ϕ(r)$, a significantly reduced and natural composite scale of $M_0 \sim 6$ TeV, a successful prediction for the quartic coupling, $λ$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_21518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Natural Top Quark Condensation (a Redux) Hill, Christopher T. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory 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, $ϕ(r)$. This becomes significant near critical coupling where $ϕ(r)$ extends to large distance, leading to dilution and suppression of induced couplings $\propto ϕ(0)$, 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 $ϕ(r)$. We provide a formulation of this for the Brout-Englert-Higgs boson, and find that it leads to an extended $ϕ(r)$, a significantly reduced and natural composite scale of $M_0 \sim 6$ TeV, a successful prediction for the quartic coupling, $λ$, 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. |
| title | Natural Top Quark Condensation (a Redux) |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21518 |