Statistical approach for the first extraction of dipole dynamical polarizabilities from proton real Compton scattering data

In this work we describe a statistical technique that has been recently applied for the extraction of the proton scalar dipole dynamical polarizabilities from real Compton scattering data. The technique is based on the simplex minimization and on the parametric bootstrap and has several important advantages with respect to the standard χ2 minimization technique, as, for example, the possibility to include in a straightforward way the systematic error in the minimization procedure.