%0 Journal Article %1 Knecht2002Hadronic %A Knecht, Marc %A Nyffeler, Andreas %D 2002 %J Physical Review D %K g-2, lbl %N 7 %R 10.1103/physrevd.65.073034 %T Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution %U http://dx.doi.org/10.1103/physrevd.65.073034 %V 65 %X 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 pi0 - gamma* - gamma* transition form factor based on the large-Nc 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) x 10^-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)\_VMD = +5.6 x 10^-10, and differs only by its overall sign from the value obtained by previous authors. Inclusion of the eta and eta-prime poles gives a total value a\_mu(LbyL;PS) = +8.3 (1.2) x 10^-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.

@article{Knecht2002Hadronic, abstract = {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 pi0 - gamma* - gamma* transition form factor based on the large-Nc 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) x 10^{-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)\_{VMD} = +5.6 x 10^{-10}, and differs only by its overall sign from the value obtained by previous authors. Inclusion of the eta and eta-prime poles gives a total value a\_{mu}(LbyL;PS) = +8.3 (1.2) x 10^{-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.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Knecht, Marc and Nyffeler, Andreas}, biburl = {https://www.bibsonomy.org/bibtex/22d91bcfae40cba967774a4eea38541ab/cmcneile}, citeulike-article-id = {12391058}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/0111058}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/0111058}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevd.65.073034}, day = 18, doi = {10.1103/physrevd.65.073034}, eprint = {hep-ph/0111058}, interhash = {fe3b3ef8dd55c810953d04465b1ce53d}, intrahash = {2d91bcfae40cba967774a4eea38541ab}, issn = {0556-2821}, journal = {Physical Review D}, keywords = {g-2, lbl}, month = feb, number = 7, posted-at = {2013-06-04 16:12:39}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution}}, url = {http://dx.doi.org/10.1103/physrevd.65.073034}, volume = 65, year = 2002 }