Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Stepanyantz, Konstantin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407759495