2-7 June 2016
Auditorium Maximum
Europe/Warsaw timezone
14th International Workshop on Meson Production, Properties and Interaction
Contribution poster
Auditorium Maximum
-
Exhibition room
Mass and width of $\Delta$ resonance using complex-mass renormalization scheme
Speakers
- Yasemin UNAL
Primary authors
- Yasemin UNAL (Canakkale Onsekiz Mart University)
Co-authors
- Prof. Stefan SCHERER (Johannes Gutenberg-Universität Mainz)
- Dr. Torsten BAUER (JGU Mainz)
- Dr. Ayse KUCUKARSLAN (COMU)
Abstract content
We calculate the pole mass and width of the $\Delta$ resonance to the third order in chiral effective field theory. We choose the complex-mass renormalization scheme in our calculation and compare the convergence behavior of both the complex-mass scheme (CMS) and the small-scale expansion (SSE) calculating the loop contributions to the delta resonance mass. Contributions of the renormalized loop diagrams for real and imaginar part of the pole of delta resonance are represented graphically depending on the pion mass. We show that a consistent power counting scheme can be obtained within the CMS, independently of counting the mass difference $\delta=m_\Delta-m_N$ as a small quantity of chiral order $q$ as in the SSE.