%0 Journal Article %1 Guevara2016Hadronic %A Guevara, Adolfo %D 2016 %J Journal of Physics: Conference Series %K g-2, lbl %P 012009+ %R 10.1088/1742-6596/761/1/012009 %T Hadronic light-by-light contribution to the muon g-2 %U http://dx.doi.org/10.1088/1742-6596/761/1/012009 %V 761 %X We have computed the hadronic light-by-light (LbL) contribution to the muon anomalous magnetic moment \$a\_\mu\$ in the frame of Chiral Perturbation Theory with the inclusion of the lightest resonance multiplets as dynamical fields (R\$\chi\$T). It is essential to give a more accurate prediction of this hadronic contribution due to the future projects of J-Parc and FNAL on reducing the uncertainty in this observable. We, therefore, computed the pseudoscalar transition form factor and proposed the measurement of the \$e^+e^-\to\mu^+\mu^-\pi^0\$ cross section and dimuon invariant mass spectrum to determine more accurately its parameters. Then, we evaluated the pion exchange contribution to \$a\_\mu\$, obtaining \$(6.66\pm0.21)\cdot10^-10\$. By comparing the pion exchange contribution and the pion-pole approximation to the corresponding transition form factor (\$\pi\$TFF) we recalled that the latter underestimates the complete \$\pi\$TFF by (15-20)\%. Then, we obtained the \$\eta^('^)\$ TFF, obtaining a total contribution of the lightest pseudoscalar exchanges of \$(10.47\pm0.54)\cdot10^-10\$, in agreement with previous results and with smaller error.

@article{Guevara2016Hadronic, abstract = {We have computed the hadronic light-by-light (LbL) contribution to the muon anomalous magnetic moment \$a\_\mu\$ in the frame of Chiral Perturbation Theory with the inclusion of the lightest resonance multiplets as dynamical fields (R\$\chi\$T). It is essential to give a more accurate prediction of this hadronic contribution due to the future projects of J-Parc and FNAL on reducing the uncertainty in this observable. We, therefore, computed the pseudoscalar transition form factor and proposed the measurement of the \$e^+e^-\to\mu^+\mu^-\pi^0\$ cross section and dimuon invariant mass spectrum to determine more accurately its parameters. Then, we evaluated the pion exchange contribution to \$a\_\mu\$, obtaining \$(6.66\pm0.21)\cdot10^{-10}\$. By comparing the pion exchange contribution and the pion-pole approximation to the corresponding transition form factor (\$\pi\$TFF) we recalled that the latter underestimates the complete \$\pi\$TFF by (15-20)\%. Then, we obtained the \$\eta^({}'^)\$ TFF, obtaining a total contribution of the lightest pseudoscalar exchanges of \$(10.47\pm0.54)\cdot10^{-10}\$, in agreement with previous results and with smaller error.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Guevara, Adolfo}, biburl = {https://www.bibsonomy.org/bibtex/26838d6af2331af456c348446aac7f929/cmcneile}, citeulike-article-id = {14226718}, citeulike-linkout-0 = {http://arxiv.org/abs/1612.03331}, citeulike-linkout-1 = {http://arxiv.org/pdf/1612.03331}, citeulike-linkout-2 = {http://dx.doi.org/10.1088/1742-6596/761/1/012009}, day = 10, doi = {10.1088/1742-6596/761/1/012009}, eprint = {1612.03331}, interhash = {58733415411044eb05e36b804b3eb7c7}, intrahash = {6838d6af2331af456c348446aac7f929}, issn = {1742-6588}, journal = {Journal of Physics: Conference Series}, keywords = {g-2, lbl}, month = dec, pages = {012009+}, posted-at = {2016-12-13 08:41:16}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Hadronic light-by-light contribution to the muon g-2}}, url = {http://dx.doi.org/10.1088/1742-6596/761/1/012009}, volume = 761, year = 2016 }