First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data

TL;DR

This paper reports the first extraction of scalar proton dynamical polarizabilities from real Compton scattering data using a novel combination of theoretical and statistical methods.

Contribution

It introduces a new approach combining dispersion relations, low-energy expansion, and advanced statistical tools to analyze Compton scattering data for the first time.

Findings

First extraction of scalar proton dynamical polarizabilities

Demonstrates the effectiveness of new statistical analysis methods

Provides insights into proton structure below pion-production threshold

Abstract

We present the first attempt to extract the scalar dipole dynamical polarizabilities from proton real Compton scattering data below pion-production threshold. The theoretical framework combines dispersion relations technique, low-energy expansion and multipole decomposition of the scattering amplitudes. The results are obtained with statistical tools that have never been applied so far to Compton scattering data and are crucial to overcome problems inherent to the analysis of the available data set.