CP violation from noncommutative geometry

Abstract

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

Comments: fixed notation, corrected some typos