2017•Physical Review COpen access

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

Th. S. Bauer, Y. Ünal, A. Küçükarslan, S. Scherer

Abstract

We discuss the pole mass and the width of the $\mathrm{\ensuremath{\Delta}}(1232)$ 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.

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Key concepts: Renormalization, Physics, Convergence (economics), Particle physics, Mathematical physics, Economics, Economic growth