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… 
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