Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-11-22
Nucl.Phys. B474 (1996) 379-420
Physics
High Energy Physics
High Energy Physics - Phenomenology
43 pages, Latex, 4 figures, the analysis of the intermediate and high energy behaviour has been changed completely. New final
Scientific paper
10.1016/0550-3213(96)00288-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 $a_\mu^{\rm light-by-light}= (-9.2\pm3.2 ) \cdot 10^{-10}$. This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon $g-2$ experiment.
Bijnens Johan
Pallante Elisabetta
Prades Joaquim
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