Reply to "Comment on `The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory'"

TL;DR

This paper addresses discrepancies between ChPT and dispersion theory regarding pion polarizability, clarifying that these arise from applying dispersion theory to non-analytic functions, and provides a rebuttal to a specific comment on this topic.

Contribution

The paper clarifies the source of discrepancies between ChPT and dispersion theory for pion polarizability and corrects a misapplication of dispersion theory to non-analytic functions.

Findings

Discrepancies are due to applying dispersion theory to non-analytic functions

Rebuttal to the comment by Fil'kov and Kashevarov

Clarification of the correct theoretical approach

Abstract

We reply to the Comment by Fil'kov and Kashevarov, arXiv:0805.4486 [hep-ph]. We show that the discrepancies between ChPT and dispersion theory, reported for the polarizability of the pion, result from applying dispersion theory to non-analytic functions.