CP violation from noncommutative geometry

Abstract

If the geometry of space-time is $\nc$, i.e. $[x_μ,x_ν]=i θ_{μν}$, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale $Λ\equiv θ^{-1/2} \leq 2 TeV$, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to $ε$ and $ε'/ε$ in the $K$-system, may actually dominate over the Standard Model contributions. Present data permit $\ncg$ to be the only source of $\cpviol$. Furthermore the most recent findings for g-2 of the muon are consistent with predictions from $\ncg$. If the geometry of space-time is $\nc$, $i.e.$ $[x_μ,x_ν]=i θ_{μν}$, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale $Λ\equiv θ^{-1/2} \leq 2 TeV$, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to $ε$ and $ε'/ε$ in the K-system, may actually dominate over the Standard Model contributions. Present data permit $\ncg$ to be the only source of $\cpviol$. Furthermore the most recent findings for g-2 of the muon are consistent with predictions from $\ncg$.