Higher ε-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group

2024/05/19 by N. P. Meshcheriakov, Meshcheriakov, Nikolai, Victoria Shatalova +3
Economics, Econometrics and Finance · Mathematics · #Differential Equations and Numerical Methods #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Stochastic processes and financial applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2405.11557

openalex publication_date 2024/05/19 · openalex created_date 2024/05/22 · openalex updated_date 2026/07/28

Abstract

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 ε-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.

Related

• Higher logarithms and ε-poles for the MS-like renormalization prescriptions
• Exact expressions for the renormalization constants in the MS-like schemes
• Coefficients at powers of logarithms in the HD+MSL renormalization scheme
• Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes
• Perspective on properties of renormalization schemes at high loops