THE MUON _g – 2 EXPERIMENTS

CPviolation from noncommutative geometry

“…Since noncommutative effects are proportional to momentum, we might expect an even stronger constraint by considering the muon edm in an experiment using relativistic muons, however the experimental bound here is weaker: d µ < 1.05 · 10 −18 e cm [53]. The recent measurement of the anomalous magnetic moment of the muon [54], a µ , although not a CP violating observable, does however provide an interesting constraint on the ncSM.…”

The implications of noninertial motion on covariant quantum spin

“…2(a) and 2(b) predict the relative contribution of ∆Γ to the overall decay rate for varying beam momenta and radius of curvature, respectively. For a facility like the Brookhaven National Laboratory which performs the muon g − 2 experiment [20], the magnitude of R is negligibly small, where for a muon beam momentum of |p µ | = 3.094 GeV and storage ring radius of r = 711.2 cm, |R| = 5.760 × 10 −55 ≪ 1.…”

Quantum Systems in Weak Gravitational Fields

“…19 of Ref. [40]). This result is independent of the value of the anomalous magnetic moment of the particle.…”

“…As the muons decay, the highest energy electrons with spin almost parallel to the momentum, are projected forward in the muon rest frame and are detected around the ring. Their angular distribution does therefore reflect the precession of the muon spin along the cyclotron orbits [39,40]. Let us start from the covariant Dirac equation (23).…”

“…where the Γ-term accounts for the observed exponential decrease in electron counts due to the loss of muons by radioactive decay [40]. The spin-rotation contribution toP ψ→ψ + is represented by ω 2 which is the cyclotron angular velocity eB m .…”