# Charged Pion Polarizability from the Lattice

## TL;DR

This paper presents a lattice-based approach to estimate charged pion polarizability using the Das, Mathur, Okubo Sum Rule, including a phenomenological model and preliminary results.

## Contribution

It introduces a lattice method for calculating charged pion polarizability via a sum rule, with a phenomenological model for propagator analysis.

## Key findings

- Preliminary lattice results for pion polarizability.
- Discussion of numerical systematic uncertainties.
- Development of a phenomenological model for propagator fitting.

## Abstract

Direct evaluation of charged particle polarizabilities on the lattice is quite difficult. However, a short cut for charged pion polarizability - the Das, Mathur, Okubo Sum Rule - can readily be calculated using lattice techniques. A phenomenological model has been developed to fit the time behavior of the propagators in this expression. Numerical systematics are discussed and some preliminary results are presented.