g-2 From Noncommutative Geometry

Abstract

This brief Letter demonstrates that effects from a $\nc$ space-time geometry will measurably affect the value of $(g-2)_\mu$ inferred from the decay of the muon to an electron plus two neutrinos. If the scale of noncommutivity is ${\cal O}(TeV)$, the alteration of the $V-A$ structure of the lepton-lepton-W vertex is sufficient to shift the inferred value of $(g-2)_\mu$ to one part in $10^8$. This may account for the recently reported $2.6 \sigma$ discrepancy between the BNL measurement $a_{expt} = 11659202(14)(6) \times 10^{-10}$ and the Standard Model prediction $a_{SM} = 11659159.6(6.7) \times 10^{-10}$.