Complex-mass renormalization in hadronic EFT: applicability at two-loop order

TL;DR

This paper demonstrates that the complex-mass scheme can be effectively applied to multi-loop diagrams in hadronic effective field theory, ensuring proper power counting at two-loop order.

Contribution

It introduces the application of the complex-mass renormalization scheme to two-loop diagrams in hadronic EFT, maintaining consistent power counting.

Findings

Two-loop self-energy diagram renormalization is consistent with power counting.

The complex-mass scheme is applicable at higher-loop orders in hadronic EFT.

Renormalization preserves the theoretical consistency of multi-loop calculations.

Abstract

We discuss the application of the complex-mass scheme to multi-loop diagrams in hadronic effective field theory by considering as an example a two-loop self-energy diagram. We show that the renormalized two-loop diagram satisfies the power counting.