Gravitational Positivity Bounds on Higgs-Portal Dark Matter
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915934146396160 |
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| author | Yamashita, Kimiko |
| author_facet | Yamashita, Kimiko |
| contents | Gravitational positivity bounds are constraints on a renormalizable theory in the presence of a massless graviton, under the assumption that the gravitational theory is ultraviolet-completed by a perturbative string theory. We derive these bounds for the Higgs-portal scalar dark matter model using the forward scattering process $ϕϕ\to ϕϕ$. We find that, in the absence of a dark matter self-coupling, new physics beyond the Higgs-portal dark matter interaction must appear below an energy scale of $10^{10}$ GeV if the dark matter mass is smaller than the Higgs boson mass. We further find that, in the presence of both interactions, achieving a cutoff scale at the grand unified theory scale generally requires a dark matter mass of order $10^{10}$-$10^{11}$ GeV (or above), with larger values favored when the four-point self-coupling plays a significant role. For such heavy Higgs-portal dark matter, the observed relic abundance of dark matter in the Universe can be successfully reproduced via the freeze-in mechanism with a tiny Higgs-portal coupling, $λ_{hϕ} \lesssim 3.5 \times 10^{-11}$. The reheating temperature is then constrained to be $T_{\mathrm{reh}} \lesssim 10^{14}$ GeV by the positivity bounds on the dark matter mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravitational Positivity Bounds on Higgs-Portal Dark Matter Yamashita, Kimiko High Energy Physics - Phenomenology Gravitational positivity bounds are constraints on a renormalizable theory in the presence of a massless graviton, under the assumption that the gravitational theory is ultraviolet-completed by a perturbative string theory. We derive these bounds for the Higgs-portal scalar dark matter model using the forward scattering process $ϕϕ\to ϕϕ$. We find that, in the absence of a dark matter self-coupling, new physics beyond the Higgs-portal dark matter interaction must appear below an energy scale of $10^{10}$ GeV if the dark matter mass is smaller than the Higgs boson mass. We further find that, in the presence of both interactions, achieving a cutoff scale at the grand unified theory scale generally requires a dark matter mass of order $10^{10}$-$10^{11}$ GeV (or above), with larger values favored when the four-point self-coupling plays a significant role. For such heavy Higgs-portal dark matter, the observed relic abundance of dark matter in the Universe can be successfully reproduced via the freeze-in mechanism with a tiny Higgs-portal coupling, $λ_{hϕ} \lesssim 3.5 \times 10^{-11}$. The reheating temperature is then constrained to be $T_{\mathrm{reh}} \lesssim 10^{14}$ GeV by the positivity bounds on the dark matter mass. |
| title | Gravitational Positivity Bounds on Higgs-Portal Dark Matter |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.16525 |