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 $\mathcal{O}(TeV)$, 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 $a_{SM}=11659159.6(6.7)\times 10^{-10}$.

5 pages, 2 figures