Unfolding the second Riemann sheet with Padé approximations: hunting resonance poles

Author(s)
Pere Masjuan Queralt
Abstract

Based on the mathematically well defined Padé Theory, a theoretically safe new procedure for the extraction of the pole mass and width of resonances is proposed. In particular, thanks to the Montessus de Ballore theorem we are able to unfold the Second Riemann sheet of a amplitude to search the position of the resonant pole in the complex plane. The main advantage of that method is it systematical and model-independent treatment of the prediction and the corresponding errors of the approximation.

Organisation(s)
Particle Physics
Journal
Nuclear Physics, Section B, Proceedings Supplements
Volume
207-208
Pages
192-195
No. of pages
4
ISSN
0920-5632
DOI
https://doi.org/10.1016/j.nuclphysbps.2010.10.050
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/985b7b7c-a867-4ba7-ba88-5c5e72a21804