Lorentz and CPT violation in the hydrogen spectrum

TL;DR

This paper investigates potential Lorentz and CPT symmetry violations in hydrogen by calculating energy level corrections induced by the Standard-Model Extension, which could be tested through high-precision spectroscopic measurements.

Contribution

It provides the first detailed calculation of SME-induced energy corrections for all hydrogen levels and applies these to the 2S-1S transition frequency.

Findings

Calculated SME corrections to hydrogen energy levels.

Derived corrections for the 2S-1S transition frequency.

Provides a framework for experimental tests of Lorentz and CPT violation.

Abstract

We have studied the effect of hypothetical violations of Lorentz and CPT symmetry by calculating the corrections to the energy levels of hydrogen induced by the Standard-Model Extension (SME). Hydrogen studies are interesting because the energy levels of hydrogen can be measured with great precision and the theory for hydrogen based on the Standard Model (SM) is well understood. We obtained corrections through order \alpha^2 times the SME parameters for all levels of hydrogen and applied them to determine the SME corrections to the transition frequency for the 2S-1S transition.