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

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 $\Lambda$ differs from the renormalization point $\mu$. Namely, we rewrite the all-loop equations relating coefficients at higher $\epsilon$-poles and higher powers of $\ln \Lambda /\mu$ 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.

16 pages

Cited by in corpus (3)

• Proceedings to the 27th Workshop "What Comes Beyond the Standard Models" Bled, July 8-17, 2024
• Quark mass matrices inspired by a numerical relation
• Do we understand the internal spaces of second quantized fermion and boson fields, with gravity included? Relation with strings theories