Energy correlators that describe energy-weighted distances between two or three particles in a hadronic jet are measured using an event sample of proton-proton collisions collected by the CMS experiment and corresponding to an integrated luminosity of . The measured distributions are consistent with the trends in the simulation that reveal two key features of the strong interaction: confinement and asymptotic freedom. By comparing the ratio of the measured three- and two-particle energy correlator distributions with theoretical calculations that resum collinear emissions at approximate next-to-next-to-leading-logarithmic accuracy matched to a next-to-leading-order calculation, the strong coupling is determined at the boson mass: , the most precise value obtained using jet substructure observables. © 2024 CERN, for the CMS Collaboration2024CERN 
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                    This content will become publicly available on March 1, 2026
                            
                            Irreducible three-loop vacuum-polarization correction in muonic bound systems
                        
                    
    
            Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers . The corrections are of order , where is the fine-structure constant and is the reduced mass. Numerically, the energy corrections are found to be of the same order of magnitude as the largest of the order corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches. Published by the American Physical Society2025 
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                            - PAR ID:
- 10613830
- Publisher / Repository:
- American Physical Society
- Date Published:
- Journal Name:
- Physical Review D
- Volume:
- 111
- Issue:
- 5
- ISSN:
- 2470-0010
- Page Range / eLocation ID:
- 056016
- Subject(s) / Keyword(s):
- QED vacuum polarization atomic physics energy levels muonic ions muonic hydrogen muonic deuterium
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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