# Nonadiabatic QED correction to the dissociation energy of the hydrogen molecule

## TL;DR

This paper calculates the nonadiabatic QED correction to hydrogen molecule's dissociation energy with high precision, aligning theory with experimental data, and enhancing the molecule's role in fundamental constant determination.

## Contribution

It presents a nonadiabatic QED correction calculation for hydrogen molecule's energy without mass ratio expansion, improving theoretical accuracy.

## Key findings

- Achieved 1 MHz accuracy in dissociation energy prediction.
- Excellent agreement with recent experimental measurements.
- Enhanced the hydrogen molecule's utility in fundamental physics.

## Abstract

The quantum electrodynamic correction to the energy of the hydrogen molecule has been evaluated without expansion in the electron-proton mass ratio. The obtained results significantly improve the accuracy of theoretical predictions reaching the level of 1 MHz for the dissociation energy, in a very good agreement with the parallel measurement [H\"olsch et al., Phys. Rev. Lett. 122, 103002 (2019)]. Molecular hydrogen has thus become a cornerstone of ultraprecise quantum chemistry, which opens perspectives for determination of fundamental physical constants from its spectra.