Sigma pole position and errors of a once and twice subtracted dispersive analysis of π and π scattering data

Kamiński, RobertGarcia-Martin, R.Grynkiewicz, P.Peláez Sagredo, José Ramón2023-06-202023-06-202009-010920-563210.1016/j.nuclphysbps.2008.12.071https://hdl.handle.net/20.500.14352/44857©Elsevier Science Bv. This talk is dedicated to the memory of F.J. Yndurain. Partial financial support from Spanish contracts PR27/05-13955-BSCH, FPA2004- 02602, UCM-CAM 910309 and BFM2003-00856.We show how the new precise data on kaon decays together with forward dispersion relations, sum rules and once- and twice-subtracted Roy’s equations allow for a precise determination of the sigma meson pole position. We present a comparison and a study of the different sources of uncertainties when using either once- or twicesubtracted Roy’s equations to analyze the data. Finally we present a preliminary determination of the σ pole from the constrained dispersive data analysis.engSigma pole position and errors of a once and twice subtracted dispersive analysis of π and π scattering datajournal articlehttp://dx.doi.org/10.1016/j.nuclphysbps.2008.12.071http://www.sciencedirect.com/http://arxiv.org/abs/0811.4510open access51-73EquationFísica-Modelos matemáticosFísica atmosférica2501 Ciencias de la Atmósfera