%0 Journal Article %1 Bijnens1996Analysis %A Bijnens, Johan %A Pallante, Elisabetta %A Prades, Joaquim %D 1996 %J Nuclear Physics B %K g-2, lbl %N 2 %P 379--417 %R 10.1016/0550-3213(96)00288-x %T Analysis of the Hadronic Light-by-Light Contributions to the Muon \$g-2\$ %U http://dx.doi.org/10.1016/0550-3213(96)00288-x %V 474 %X 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^\rm light-by-light= (-9.2\pm3.2 ) 10^-10\$. This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon \$g-2\$ experiment.

@article{Bijnens1996Analysis, abstract = {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^{\rm light-by-light}= (-9.2\pm3.2 ) \cdot 10^{-10}\$. This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon \$g-2\$ experiment.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Bijnens, Johan and Pallante, Elisabetta and Prades, Joaquim}, biburl = {https://www.bibsonomy.org/bibtex/226f46f4efb48fc312fa40890fd514907/cmcneile}, citeulike-article-id = {12436362}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/9511388}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/9511388}, citeulike-linkout-2 = {http://dx.doi.org/10.1016/0550-3213(96)00288-x}, day = 28, doi = {10.1016/0550-3213(96)00288-x}, eprint = {hep-ph/9511388}, interhash = {8f1be77e77443166686e8ccd51f121e5}, intrahash = {26f46f4efb48fc312fa40890fd514907}, issn = {05503213}, journal = {Nuclear Physics B}, keywords = {g-2, lbl}, month = mar, number = 2, pages = {379--417}, posted-at = {2013-06-18 09:26:35}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Analysis of the Hadronic Light-by-Light Contributions to the Muon \$g-2\$}}, url = {http://dx.doi.org/10.1016/0550-3213(96)00288-x}, volume = 474, year = 1996 }