%0 Journal Article %1 Dorokhov2009Complete %A Dorokhov, A. E. %A Ivanov, M. A. %A Kovalenko, S. G. %D 2009 %K eta %T Complete structure dependent analysis of the decay \$P l^+l^-\$ %U http://arxiv.org/abs/0903.4249 %X We use the Mellin-Barnes representation in order to improve the theoretical estimate of mass corrections to the width of light pseudoscalar meson decays into a lepton pair, \$Pl^+l^-\$ . The full resummation of the terms \$(M^2/Łambda^2) ^n,\$ \$(m^2/M^2) ^n\$and \$(m^2/Łambda^2) ^n\$ to the decay amplitude is performed, where \$m\$ is the lepton mass, \$M\$ is the meson mass and \$Łambdam\_\rho\$ is the characteristic scale of the \$P\gamma^\ast\gamma^\ast\$ form factor. The total effect of mass corrections is quite important for \$\eta(\eta^\prime)\$ decays. We also comment on the estimation of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in the chiral perturbation theory.

@article{Dorokhov2009Complete, abstract = {We use the Mellin-Barnes representation in order to improve the theoretical estimate of mass corrections to the width of light pseudoscalar meson decays into a lepton pair, \$P\to l^{+}l^{-}\$ . The full resummation of the terms \$(M^{2}/\Lambda^{2}) ^{n},\$ \$(m^{2}/M^{2}) ^{n}\$and \$(m^{2}/\Lambda^{2}) ^{n}\$ to the decay amplitude is performed, where \$m\$ is the lepton mass, \$M\$ is the meson mass and \$\Lambda\approx m\_{\rho}\$ is the characteristic scale of the \$P\to \gamma^{\ast}\gamma^{\ast}\$ form factor. The total effect of mass corrections is quite important for \$\eta(\eta^{\prime})\$ decays. We also comment on the estimation of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in the chiral perturbation theory.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Dorokhov, A. E. and Ivanov, M. A. and Kovalenko, S. G.}, biburl = {https://www.bibsonomy.org/bibtex/2e51634fe31a52bcc5d00ffc92c298be5/cmcneile}, citeulike-article-id = {9080074}, citeulike-linkout-0 = {http://arxiv.org/abs/0903.4249}, citeulike-linkout-1 = {http://arxiv.org/pdf/0903.4249}, day = 25, eprint = {0903.4249}, interhash = {05279a5431f757997e37bbbda8d1ebc8}, intrahash = {e51634fe31a52bcc5d00ffc92c298be5}, keywords = {eta}, month = mar, posted-at = {2011-03-30 15:24:57}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {Complete structure dependent analysis of the decay \$P \to l^{+}l^{-}\$}, url = {http://arxiv.org/abs/0903.4249}, year = 2009 }