Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment

Y. V. Stadnik; B. M. Roberts; V. V. Flambaum

doi:10.1103/PhysRevD.90.045035

paper

Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment

arXiv:1407.5728 · doi:10.1103/PhysRevD.90.045035

Abstract

We derive the relativistic factor for splitting of the $g$ -factors of a fermion and its anti-fermion partner, which is important for placing constraints on dimension-5, $C P T$ -odd and Lorentz-invariance-violating interactions from experiments performed in a cyclotron. From existing data, we extract limits (1 $σ$ ) on the coupling strengths of the temporal component, $f^{0}$ , of a background field (including the field amplitude), which is responsible for such $g$ -factor splitting, with an electron, proton, and muon: $∣ f_{e}^{0} ∣ < 2.3 \times 1 0^{- 12} μ_{B}$ , $∣ f_{p}^{0} ∣ < 4 \times 1 0^{- 9} μ_{B}$ , and $∣ f_{μ}^{0} ∣ < 8 \times 1 0^{- 11} μ_{B}$ , respectively, in the laboratory frame. From existing data, we also extract limits on the coupling strengths of the spatial components, $d^{⊥}$ , of related dimension-5 interactions of a background field with an electron, proton, neutron, and muon: $∣ d_{e}^{⊥} ∣ ≲ 1 0^{- 9} μ_{B}$ , $∣ d_{p}^{⊥} ∣ ≲ 1 0^{- 9} μ_{B}$ , $∣ d_{n}^{⊥} ∣ ≲ 1 0^{- 10} μ_{B}$ , and $∣ d_{μ}^{⊥} ∣ ≲ 1 0^{- 9} μ_{B}$ , respectively, in the laboratory frame.

arXiv comment6 pages. Minor corrections and new references added

Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment

Abstract

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