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Updated: Feb 13, 2026

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Published on: December 1, 2020
Sub-part-per-trillion test of the Standard Model with atomic hydrogen
Lothar Maisenbacher1,2, Vitaly Wirthl3, Arthur Matveev3
1Max-Planck-Institut für Quantenoptik, Garching, Germany. lothar.maisenbacher@mpq.mpg.de.
This study precisely measured a hydrogen atom transition, yielding a new proton charge radius value. This result resolves discrepancies and rigorously tests quantum electrodynamics and the Standard Model.
Area of Science:
- Fundamental physics
- Quantum electrodynamics
- Atomic spectroscopy
Background:
- Quantum electrodynamics (QED) is a cornerstone of the Standard Model (SM), enabling precise predictions of atomic energy levels.
- Discrepancies in proton charge radius (rp) values from atomic hydrogen spectroscopy hinder rigorous testing of QED.
- Existing atomic hydrogen measurements of rp conflict with more precise muonic hydrogen data.
Purpose of the Study:
- To perform a high-precision measurement of the 2S-6P transition in atomic hydrogen.
- To resolve discrepancies in the proton charge radius (rp) values.
- To enable stringent tests of quantum electrodynamics (QED) and the Standard Model (SM).
Main Methods:
- High-precision laser spectroscopy of the 2S-6P transition in atomic hydrogen.
- Utilizing advanced spectroscopic techniques to achieve unprecedented accuracy.
- Extracting the proton charge radius from the measured transition frequency.
Main Results:
- The measured 2S-6P transition frequency is 730,690,248,610.79(48) kHz.
- A proton charge radius of rp = 0.8406(15) fm was determined, significantly more precise than previous atomic hydrogen measurements.
- The result aligns perfectly with the value obtained from muonic hydrogen spectroscopy.
Conclusions:
- The new atomic hydrogen measurement resolves discrepancies in the proton charge radius.
- This work provides the most precise test of bound-state QED corrections to date.
- The findings strongly support the validity of the Standard Model and QED at high precision levels.
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