Speaker
Description
Resonances are characterized uniquely by their complex pole location and the
corresponding residues. On the other hand experimentally resonances
are typically identified as structures in amplitudes - in particular
branching ratios of resonances are determined as ratios of count rates. To make contact
between these quantities it is necessary to connect line shapes and resonance
parameters.
In this work we provide such a connection and illustrate the formalism
on the examples of $\rho(770)$ and $f_0(500)$.
From those line shapes, expressions for partial widths and branching ratios are derived
and compared to other approaches proposed
in the literature.