Phase Transitions in Dimensional Reduction up to Three Loops
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| Format: | Preprint |
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2025
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| _version_ | 1866916746240196608 |
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| author | Chala, Mikael Gil, Luis Ren, Zhe |
| author_facet | Chala, Mikael Gil, Luis Ren, Zhe |
| contents | We perform the first computation of phase-transition parameters to cubic order in $λ\sim m^2/T^2$, where $m$ is the scalar mass and $T$ is the temperature, in a simple model resembling the Higgs sector of the SMEFT. We use dimensional reduction, including 1-loop matching corrections for terms of dimension 6 (in 4-dimensional units), 2-loop contributions for dimension-4 ones and 3-loops for the squared mass. We precisely quantify the size of the different corrections, including renormalisation-group running as well as quantum effects from light fields in the effective theory provided by the Coleman-Weinberg potential, and discuss briefly the implications for gravitational waves. Our results suggest that, for strong phase transitions, 1-loop corrections from dimension-6 operators can compete with 2-loop ones from quartic couplings, but largely surpass those from 3-loop thermal masses. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_14335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Transitions in Dimensional Reduction up to Three Loops Chala, Mikael Gil, Luis Ren, Zhe High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics We perform the first computation of phase-transition parameters to cubic order in $λ\sim m^2/T^2$, where $m$ is the scalar mass and $T$ is the temperature, in a simple model resembling the Higgs sector of the SMEFT. We use dimensional reduction, including 1-loop matching corrections for terms of dimension 6 (in 4-dimensional units), 2-loop contributions for dimension-4 ones and 3-loops for the squared mass. We precisely quantify the size of the different corrections, including renormalisation-group running as well as quantum effects from light fields in the effective theory provided by the Coleman-Weinberg potential, and discuss briefly the implications for gravitational waves. Our results suggest that, for strong phase transitions, 1-loop corrections from dimension-6 operators can compete with 2-loop ones from quartic couplings, but largely surpass those from 3-loop thermal masses. |
| title | Phase Transitions in Dimensional Reduction up to Three Loops |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2505.14335 |