Analysis of the hadronic lightbylight contributions to the muon g  2
Abstract
We calculate the hadronic lightbylight 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 nexttoleading order in the 1/ N_{c} expansion low energy contributions using the Extended NambuJonaLasinio model as hadronic model. We do that to all orders in the external momenta and quark masses expansion. Although the hadronic lightbylight contributions to muon g  2 are not saturated by these low energy contributions we estimate them conservatively. A detailed analysis of the different hadronic lightbylight contributions to muon g  2 is done. The dominant contribution is the twice anomalous pseudoscalar exchange diagram. The final result we get is a_{μ}^{lightbylight} = (9.2 ± 3.2) × 10 ^{1}. This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon g  2 experiment.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)00288X
 arXiv:
 arXiv:hepph/9511388
 Bibcode:
 1996NuPhB.474..379B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 43 pages, Latex, 4 figures, the analysis of the intermediate and high energy behaviour has been changed completely. New final number is $(9.2\pm3.2)\cdot 10^{10}$