# The impact of inclusive electron ion collider data on the strong coupling determination in a global PDF fit

## TL;DR

This paper studies how data from the Electron Ion Collider can improve the accuracy of determining the strong coupling in particle physics.

## Contribution

The study evaluates the impact of EIC data on strong coupling determination using pseudodata and highlights the importance of error definitions.

## Key findings

- EIC data can moderately to significantly improve strong coupling determination depending on experimental uncertainties.
- Injecting inconsistencies into EIC pseudodata can bias the strong coupling value, emphasizing the need for careful error handling.
- The results show the EIC's potential to enhance the precision of the strong coupling in global PDF fits.

## Abstract

We present a study of the impact of data from the upcoming Electron Ion Collider (EIC) on the determination of the strong coupling within the context of the global MSHT fitting framework. To achieve this, we generate EIC electron-proton scattering pseudodata according to both conservative and optimistic experimental uncertainty projections and perform a simultaneous fit to obtain the proton PDFs and the value of the strong coupling. In the conservative case the impact is found to be moderate, but non-negligible, while in the optimistic case it is observed to be rather significant. These results therefore underline the promising potential for the EIC in the determination of the strong coupling. We in addition explore the impact of any potential tensions between the EIC data and the rest of the data in the global fit by injecting explicit inconsistencies into the pseudodata generation. This can lead to a noticeable bias in the extracted value of the strong coupling, highlighting the importance of accounting for all sources of theoretical uncertainty in the fit as well as the relevance of an enlarged, conservative, error definition in the determination of the strong coupling.