Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929348639981568 |
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| author | Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin |
| author_facet | Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin |
| contents | We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $Λ$ differs from the renormalization point $μ$. Namely, we rewrite the all-loop equations relating coefficients at higher $\varepsilon$-poles and higher powers of $\lnΛ/μ$ to the coefficients of the renormalization group functions in a simple unified form. It is argued that this form follows from the algebraic structure of the renormalization group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin High Energy Physics - Theory High Energy Physics - Phenomenology We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $Λ$ differs from the renormalization point $μ$. Namely, we rewrite the all-loop equations relating coefficients at higher $\varepsilon$-poles and higher powers of $\lnΛ/μ$ to the coefficients of the renormalization group functions in a simple unified form. It is argued that this form follows from the algebraic structure of the renormalization group. |
| title | Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.11557 |