Gravity and the Higgs boson mass
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913953729216512 |
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| author | Branchina, Carlo Branchina, Vincenzo Contino, Filippo Gandolfo, Riccardo Pernace, Arcangelo |
| author_facet | Branchina, Carlo Branchina, Vincenzo Contino, Filippo Gandolfo, Riccardo Pernace, Arcangelo |
| contents | According to usual calculations in quantum field theory, both in flat and curved spacetime, the mass $m^2$ of a scalar particle is quadratically sensitive to the ultimate scale of the theory, the UV physical cutoff $Λ$. In the present work, paying attention to the path integral measure and to the way $Λ$ is introduced, we calculate the one-loop effective action $Γ^{1l}$ for a scalar field on a non-trivial gravitational background. We find that $m^2$ presents only a (mild) logarithmic sensitivity to $Λ$. This is obtained without resorting to a supersymmetric embedding of the theory, nor to regularization schemes (as dimensional or zeta-function regularization) where power-like divergences are absent by construction. In view of the results of the present work, we finally speculate on the way the Minkowski limit should be approached. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13832 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravity and the Higgs boson mass Branchina, Carlo Branchina, Vincenzo Contino, Filippo Gandolfo, Riccardo Pernace, Arcangelo High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology According to usual calculations in quantum field theory, both in flat and curved spacetime, the mass $m^2$ of a scalar particle is quadratically sensitive to the ultimate scale of the theory, the UV physical cutoff $Λ$. In the present work, paying attention to the path integral measure and to the way $Λ$ is introduced, we calculate the one-loop effective action $Γ^{1l}$ for a scalar field on a non-trivial gravitational background. We find that $m^2$ presents only a (mild) logarithmic sensitivity to $Λ$. This is obtained without resorting to a supersymmetric embedding of the theory, nor to regularization schemes (as dimensional or zeta-function regularization) where power-like divergences are absent by construction. In view of the results of the present work, we finally speculate on the way the Minkowski limit should be approached. |
| title | Gravity and the Higgs boson mass |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.13832 |