# Renormalized ε -finite master integrals and their virtues: The three-loop self-energy case

@article{Martin2022Renormalized,
title={Renormalized
$\epsilon$
-finite master integrals and their virtues: The three-loop self-energy case},
author={Stephen P. Martin},
journal={Physical Review D},
year={2022}
}
• S. P. Martin
• Published 14 December 2021
• Physics
• Physical Review D
Loop diagram calculations typically rely on reduction to a finite set of master integrals in 4− 2ǫ dimensions. It has been shown that for any problem, the masters can be chosen so that their coefficients are finite as ǫ → 0. I propose a definition of renormalized ǫ-finite master integrals, which incorporate ultraviolet divergence subtractions in a specific way. A key advantage of this choice is that in expressions for physical observables, expansions to positive powers in ǫ are never needed. As…
1 Citations

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