2014/07/31 by Y. V. Stadnik, B. M. Roberts, V. V. Flambaum · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coupling (piping) #Dimension (graph theory) #Mathematics #Muon #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton #Quantum mechanics #hep-ph #nucl-th #physics.atom-ph #physics.space-ph #quant-ph
paper · pdf · doi:10.1103/physrevd.90.045035
published as Physical Review D 90, 045035 (2014) · 6 pages. Minor corrections and new references added
arxiv created 2014/08/05 · openalex publication_date 2014/08/29 · arxiv updated 2014/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive the relativistic factor for splitting of the g-factors of a fermion and its antifermion partner, which is important for placing constraints on dimension-five, CPT-odd and Lorentz-invariance-violating interactions from experiments performed in a cyclotron. From existing data, we extract limits (1\ensuremathσ) on the coupling strengths of the temporal component, f0, of a background field (including the field amplitude), which is responsible for such g-factor splitting, with an electron, proton, and muon: |fe0|<2.3\ifmmode×\else\texttimes\fi10^\ensuremath-12\ensuremathμB, |fp0|<4\ifmmode×\else\texttimes\fi10^\ensuremath-9\ensuremathμB, and |f_\ensuremathμ0|<8\ifmmode×\else\texttimes\fi10^\ensuremath-11\ensuremathμB, respectively, in the laboratory frame (\ensuremathμB is the Bohr magneton). From existing data, we also extract limits on the coupling strengths of the spatial components, d^\ensuremath⊥, of related dimension-five interactions of a background field with an electron, proton, neutron, and muon: |de^\ensuremath⊥|\ensuremath\lesssim10^\ensuremath-9\ensuremathμB, |dp^\ensuremath⊥|\ensuremath\lesssim10^\ensuremath-9\ensuremathμB, |dn^\ensuremath⊥|\ensuremath\lesssim10^\ensuremath-10\ensuremathμB, and |d_\ensuremathμ^\ensuremath⊥|\ensuremath\lesssim10^\ensuremath-9\ensuremathμB, respectively, in the laboratory frame.