Muon and tau anomalies updated

We present a new independent evaluation of the hadronic vacuum polarization contributions a_l^{had}(l.o)=(1/2)(g-2)_l^{had}(l.o) to the anomalous magnetic moment (anomaly) of the muon and tau leptons using tau-decays and e+e- data. The alone theoretical input used for describing the high-energy region not accessible experimentally is perturbative QCD plus (negligible) additionnal effects due to the QCD vacuum condensates. We obtain: a_\mu^{had}(l.o)= 6969.5(76.4)10^{-11} and a_\tau^{had}(l.o)= 345.0(3.8)10^{-8}, which we compare with previous determinations. Confronting the theoretical Standard Model (SM) predictions of a_\mu with the recent BNL measurement leads to a_\mu^{new}\equiv a_\mu^{exp}-a_\mu^{SM}=375(170)10^{-11}, indicating a possible deviation from the SM, from which we derive conservative lower bounds on the scales of some new physics (e.g. supersymmetry, radiative muon and leptoquark models). We also update our old predictions of the SM contributions to $a_\tau$. Including QED to sixth order, higher order hadronic and electroweak contributions, we obtain a_\tau^{SM}=117~704.1(5.9)10^{-8}, waiting for a future precise measurement of a_\tau.