Speaker
Mr
Jacobo Ruiz de Elvira
(Universidad Complutense)
Description
We extend the precise analysis of presently available pion-pion
scattering data up to 1.1 GeV published in Phys.Rev.D83:074004,2011,
by means of once subtracted Roy-like dispersion relations, twice subtracted Roy Equations,
and Forward Dispersion Relations. The use of once-subtracted dispersion
relations is essential to reduce uncertainties in the region around the K-Kbar threshold,
whereas in the very low energy regime the strongest constraint comes from
the standard Roy Eqs. Forward dispersion relations provide constraints up to roughly 1.4 GeV.
Our results provide a precise and model
independent description of the $f_0(600)$ and $f_0(980)$
regions together. In particular we show that the "dip-solution" for the
elasticity is strongly preferred
over the "non-dip" solution. We also provide final results for the
resonance associated poles.
Primary author
Mr
Jacobo Ruiz de Elvira
(Universidad Complutense)
Co-authors
Prof.
J. Ramón Peláez
(Universidad Complutense)
Dr
Robert KAMINSKI
(Institute of Nuclear Physics Polish Academy of Sciences)
Mr
Rubén GARCIA MARTIN
(Universidad Complutense)