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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.12573 |
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Table of Contents:
- We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for a version of the dimensional technique in which the dimensionful parameter $Λ$ differs from the renormalization scale $μ$. They encode the equations relating the coefficients at higher $\varepsilon$-poles, powers of $\ln Λ/μ$, and mixed terms of the structure $\varepsilon^{-q} \ln^p Λ/μ$ to the coefficients of the renormalization group functions (i.e. of the $β$-function and the anomalous dimension). The general results are verified by some multiloop calculations.