Mass and width of theΔ(1232)resonance using complex-mass renormalization

Abstract

We discuss the pole mass and the width of the ∆(1232) resonance to third order in chiral effective field theory. In our calculation we choose the complex-mass renormalization scheme (CMS) and show that the CMS provides a consistent power-counting scheme. In terms of the pion-mass dependence, we compare the convergence behavior of the CMS with the small-scale expansion (SSE).

Nucleon-to-Δtransition form factors in chiral effective field theory using the complex-mass scheme

“…The CMS was originally developed for deriving properties of W , Z, and Higgs bosons obtained from resonant processes. More recently, it has also been applied in the context of effective field theories of the strong interactions [48][49][50][51][52][53][54][55][56][57][58]. The CMS has the important property of perturbative unitarity, which was first demonstrated in Ref.…”