Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model

Details Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model

2008-05-06

arxiv.org/abs/0805.0760v3

Phys.Rev.D78:073011,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 7 figures

Scientific paper

10.1103/PhysRevD.78.073011

We calculate the pion pole term of the light-by-light contribution to the $g-2$ of the muon in the framework of an effective chiral quark model with instanton-like nonlocal quark--quark interaction. The full kinematic dependence of the pion-photon transition form factors is taken into account. The dependence of form factors on the pion virtuality decreases the result by about 15% in comparison to the calculation where this dependence is neglected. Further, it is demonstrated that the QCD constraints suggested by Melnikov and Vainshtein are satisfied within the model. The corresponding contributions originate from the box diagram as well from the pion-pole term. Our chiral nonlocal model result for the pion-pole light-by-light contribution to $(g-2)/2$ of the muon is $(6.3-6.7) \cdot10^{-10}$, which is in the ball park of other effective-model calculations.

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