Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-06-13
Physics
High Energy Physics
High Energy Physics - Phenomenology
28p. Master thesis from december 1999 but the results were felt useful for the muon g-2 discussion. Version with more referenc
Scientific paper
The exact form of the form-factor associated with a meson-photon-photon vertex is not known. Different suggestions exist, based on constraints from QCD and on recent experiments. Four different form-factors are studied in this article. We calculate decay rates for the decays $\pi^{0}\to \gamma\gamma$, $\eta\to \gamma e^{+}e^{-}$, $\eta\to \mu^{+}\mu^{-} e^{+}e^{-}$} and $\eta\to e^{+}e^{-} e^{+}e^{-}$ and cross sections for the processes $e^{+}e^{-}\to PS e^{+}e^{-}$, where $PS=\pi^{0}$, $\eta$ or $\eta'$. The results depend on the choice of form-factor and we examine if the differences are large enough to distinguish in upcoming experiments. The dominant part of the light-by-light contribution to the muon anomalous magnetic moment is also calculated. Here the uncertainty around the choice of form-factor implies that it is possible to estimate a smallest error in the theoretical value of this contribution.
Bijnens Johan
Persson Fredrik
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