CP violation from noncommutative geometry

preprint2001arXivOpen access

Abstract

If the geometry of space-time is $\nc$, i.e. [xμ,xν]=iθμν[x_μ,x_ν]=i θ_{μν}, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale Λ≡θ−1/2≤2TeVΛ\equiv θ^{-1/2} \leq 2 TeV, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to εε and ε′/εε'/ε in the KK-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.i.e. [xμ,xν]=iθμν[x_μ,x_ν]=i θ_{μν}, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale Λ≡θ−1/2≤2TeVΛ\equiv θ^{-1/2} \leq 2 TeV, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to εε and ε′/εε'/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 $\ncg$.

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