Pad\'e Approximants and Resonance Poles
High Energy Physics - Phenomenology
2015-06-16 v1 Nuclear Theory
Abstract
Based on the mathematically well defined Pad\'e Theory, a theoretically safe new procedure for the extraction of the pole mass and width of a resonance is proposed. In particular, thanks to the Montessus de Ballore theorem we are able to unfold the Second Riemann Sheet of an amplitude to search for the position of the resonant pole in the complex plane. The method is systematic and provides a model-independent treatment of the prediction and the corresponding errors of the approximation.
Cite
@article{arxiv.1306.6308,
title = {Pad\'e Approximants and Resonance Poles},
author = {P. Masjuan and J. J. Sanz-Cillero},
journal= {arXiv preprint arXiv:1306.6308},
year = {2015}
}
Comments
12 pages, 17 figures