# Meson-baryon Scattering in Extend-on-mass-shell scheme at $\mathcal{O}(p^3)$

## TL;DR

This paper applies covariant baryon chiral perturbation theory up to order p^3 to analyze meson-baryon scattering, successfully describing pion-nucleon and kaon-nucleon experimental data.

## Contribution

It introduces a combined analysis of pion-nucleon and kaon-nucleon scattering within the extended-on-mass-shell scheme at next-to-next-to-leading order.

## Key findings

- Reasonable fit to experimental scattering data
- First combined study of pion-nucleon and kaon-nucleon channels
- Demonstrates effectiveness of covariant baryon ChPT at this order

## Abstract

In this present work, we study the scattering of a pseudoscalar meson off one ground state octet baryon in covariant baryon chiral perturbation theory up to the next-to-next-to-leading order. We remove the power counting breaking terms with the extended-on-mass-shell scheme. We perform the first combined study of the pion-nucleon and kaon-nucleon scattering data and show that the covariant baryon Chiral perturbation theory can provide a reasonable description of the experimental data for both channels.