Testing QED and BSM theories through advanced solutions of the Dirac-Breit-Darwin equations in exotic leptonic atoms
Oral presentation-Prof. Theocharis Kosmas
Abstract
Recently, sensitive experiments operating in frontier muon facilities like MuSEUM (J‐PARC), Mu-MASS (PSI), etc. provide ultra‐high‐precision measurements for quantum electrodynamics (QED) and non-standard (BSM) physics. Historically, the spectroscopy of conventional atoms played essential role in understanding physics (Lamb shift, bound state QED, etc.). However, the proton finite size prevents testing of QED and BSM physics, while structureless purely leptonic atoms, particularly the Muonium (μ+,e−), are thoroughly being investigated towards this aim. Their study allows testing of fundamental physical laws like the lepton number conservation in experiments searching for Muonium to anti-Muonium conversion. In general, the exotic leptonic atoms are ideal for testing QED and BSM theories. Theoretically, their energy levels can be calculated with very high accuracy within the bound state QED since there are no complications due to internal nuclear structure and size. Ground state hyperfine splitting, 1S-2S energy interval, etc., can provide testing of QED theory and determinations of fundamental constants (muon mass mμ, fine structure constant α, etc.). Our main goal in this work is to provide advanced algorithms to test these theories based on accurate numerical solutions of the Dirac-Breit-Darwin equations in leptonic atoms.