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arXiv · 2405.11557

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

Nikolai Meshcheriakov·Victoria Shatalova·Konstantin Stepanyantz
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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 $\varepsilon$-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.

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Nikolai Meshcheriakov, Victoria Shatalova, Konstantin Stepanyantz. 2024-05-19. Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group. https://arxiv.org/abs/2405.11557

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