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Within the Standard Model (SM) one predicts both direct and indirect CPviolation in D^0 \to \pi^+\pi^-, K^+K^- transitions, although the effects aretiny: Indirect CP asymmetry cannot exceed O(10^{-4}), probably even O(10^{-5});direct effects are estimated at not larger than 10^{-4}. At B factories directand indirect asymmetries have been studied with <t>/\tau_{D^0} ~ 1; no CPasymmetry was found with an upper bound of about 1%. CDF has shown intriguingdata on CP violation in D^0 \to \pi^+\pi^- [K^+K^-] with <t>/\tau_{D^0} ~ 2.4[2.65]. Also, CDF has not seen any CP violation. For direct CP asymmetry, CDFhas a sensitivity similar to the combination of the B factories, yet forindirect CP violation it yields a significantly smaller sensitivity ofa_{cp}^{ind}=(-0.01 +- 0.06_{stat} +- 0.05_{syst})% due to it being based onlonger decay times. New Physics models (NP) like Little Higgs Models withT-Parity (LHT) can produce an indirect CP asymmetry up to 1%; CDF's findingsthus cover the upper range of realistic NP predictions ~ 0.1 - 1%. One hopesthat LHCb and a Super-Flavour Factory will probe the lower range down to~0.01%. Such non-ad-hoc NP like LHT cannot enhance direct CP violationsignificantly over the SM level in D^0 \to \pi^+\pi^-, K^+K^- and D^{\pm} \to\pi^{\pm}K^+K^- transitions, but others might well do so.

Conclusions from CDF Results on CP Violation in D^0 \to \pi^+\pi^-, K^+K^- and Future Tasks