TY - JOUR
T1 - Padé approximants and resonance poles
AU - Masjuan, P.
AU - Sanz-Cillero, J.J.
PY - 2013
Y1 - 2013
N2 - Based on the mathematically well defined Padé 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 resonance 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. Likewise, it can be used in combination with other well-established approaches to improve future determinations of resonance parameters
AB - Based on the mathematically well defined Padé 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 resonance 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. Likewise, it can be used in combination with other well-established approaches to improve future determinations of resonance parameters
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84891084208&partnerID=MN8TOARS
UR - https://www.scopus.com/pages/publications/84891084208
U2 - 10.1140/epjc/s10052-013-2594-4
DO - 10.1140/epjc/s10052-013-2594-4
M3 - Article
SN - 1434-6044
VL - 73
JO - European Physical Journal C
JF - European Physical Journal C
M1 - 2594
ER -