Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-05
Phys.Lett.B657:43-48,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 2 figures, revised version, accepted for publication in Physics Letters B
Scientific paper
10.1016/j.physletb.2007.09.040
A significant discrepancy exists between experiment and calculations of the muon's magnetic moment. We find that standard formulas for the hadronic vacuum polarization term have overlooked pionic states known to exist. Coulomb binding alone guarantees $\pi^+ \pi^-$ states that quantum mechanically mix with the $\rho$ meson. A simple 2-state mixing model explains the magnetic moment discrepancy for a mixing angle of order $\alpha \sim 10^{-2}$. The relevant physical state is predicted to give a tiny observable bump in the ratio R(s) of $e^+ e^-$ annihilation at a low energy not previously searched. The burden of proof is reversed for claims that conventional physics cannot explain the muon's anomalous moment.
Ralston John P.
Schiel Rainer W.
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