Hadronic light-by-light corrections to the muon g-2:: The pion-pole contribution -: art. no. 073034

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi(0)-gamma(*)-gamma(*) transition form factor based on the large-N-C and short-distance properties of QCD. The resulting two-loop integrals are treated by first performing the angular integration analytically, using the method of Gegenbauer polynomials, followed by a numerical evaluation of the remaining two-dimensional integration over the moduli of the Euclidean loop momenta. The value obtained, a(mu)(LbyL;pi0)=+5.8(1.0)x10(-10), disagrees with other recent calculations. In the case of the vector meson dominance form factor, the result obtained by following the same procedure reads a(mu)(LbyL;pi0)parallel to(VMD)=+5.6x10(-10), and differs only by its overall sign from the value obtained by previous authors. The inclusion of the eta and eta(') poles gives a total value a(mu)(LbyL;PS)=+8.3(1.2)x10(-10) for the three pseudoscalar states. This result substantially reduces the difference between the experimental value of a(mu) and its theoretical counterpart in the standard model.