CP Violation from Noncommutative Geometry

If the geometry of space-time is noncommutative, i.e. $[x_{\mu},x_{\nu}]=i\theta_{\mu \nu}$, then noncommutative CP violating effects may be manifest at low energies. For a noncommutative scale $\Lambda \equiv \theta^{-1/2} \leq 2 TeV$, CP violation from noncommutative geometry is comparable to that from the Standard Model (SM) alone: the noncommutative contributions to $\epsilon$ and $\epsilon'/\epsilon$ in the K-system, and to $sin~2\beta$ in the B-system, may actually dominate over the Standard Model contributions. Present data permit noncommuative geometry to be the only source of CP violation. Furthermore the most recent findings for (g-2) of the muon are consistent with predictions from noncommutative geometry