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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/2308.15876 |
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| _version_ | 1866916153684656128 |
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| author | Funakubo, Koichi Senaha, Eibun |
| author_facet | Funakubo, Koichi Senaha, Eibun |
| contents | We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $β$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not spoiled after thermal resummation. With this improvement, scale dependences of phase transition quantities such as a critical temperature, which are known to be notoriously large at the one-loop order, are greatly reduced compared to calculations with the conventional $\overline{\text{MS}}$ scheme. By taking advantage of the RG invariance, we also devise a resummation method that can incorporate potentially harmful large logarithmic terms and temperature-dependent power corrections in a generic form. We point out that a resummed one-loop effective potential refined by the method can give results that agree with those obtained by resummed two-loop effective potentials within errors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15876 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Refined renormalization group improvement for thermally resummed effective potential Funakubo, Koichi Senaha, Eibun High Energy Physics - Phenomenology We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $β$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not spoiled after thermal resummation. With this improvement, scale dependences of phase transition quantities such as a critical temperature, which are known to be notoriously large at the one-loop order, are greatly reduced compared to calculations with the conventional $\overline{\text{MS}}$ scheme. By taking advantage of the RG invariance, we also devise a resummation method that can incorporate potentially harmful large logarithmic terms and temperature-dependent power corrections in a generic form. We point out that a resummed one-loop effective potential refined by the method can give results that agree with those obtained by resummed two-loop effective potentials within errors. |
| title | Refined renormalization group improvement for thermally resummed effective potential |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.15876 |