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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.02153 |
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| _version_ | 1866916180944486400 |
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| author | Funakubo, Koichi Senaha, Eibun |
| author_facet | Funakubo, Koichi Senaha, Eibun |
| contents | We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, $β$-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation theory. In contrast to the ordinary $\overline{\text{MS}}$ scheme, the renormalization group invariance of the resummed finite-temperature effective potential holds order by order, which significantly mitigates a notorious renormalization scale dependence of phase transition quantities such as a critical temperature even at the one-loop order. We also devise a tractable method that enables one to incorporate temperature-dependent higher-order corrections by fully exploiting the renormalization group invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02153 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A renormalization group improvement for thermally resummed effective potential Funakubo, Koichi Senaha, Eibun High Energy Physics - Phenomenology We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, $β$-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation theory. In contrast to the ordinary $\overline{\text{MS}}$ scheme, the renormalization group invariance of the resummed finite-temperature effective potential holds order by order, which significantly mitigates a notorious renormalization scale dependence of phase transition quantities such as a critical temperature even at the one-loop order. We also devise a tractable method that enables one to incorporate temperature-dependent higher-order corrections by fully exploiting the renormalization group invariance. |
| title | A renormalization group improvement for thermally resummed effective potential |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2307.02153 |