Analysis of the hadronic light-by-light contributions to the muon g-2

We calculate the hadronic light-by-light contributions to the muon g - 2. We use both 1/N-c and chiral counting to organize the calculation. Then we calculate the leading and next-to-leading order in the 1/N-c expansion low energy contributions using the Extended Nambu-Jona-Lasinio model as hadronic model, We do that to all orders in the external momenta and quark masses expansion. Although the hadronic light-by-light contributions to muon g - 2 are not saturated by these low energy contributions we estimate them conservatively. A detailed analysis of the different hadronic light-by-light contributions to muon g - 2 is done, The dominant contribution is the twice anomalous pseudoscalar exchange diagram, The final result we get is a(mu)(light-by-light) = (-9.2 +/- 3.2) x 10(-10). This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon g - 2 experiment.