2008/05/31 by A. E. Dorokhov, Alexander E. Dorokhov, Wojciech Broniowski +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.78.073011
published as Phys.Rev.D78:073011,2008 · 15 pages, 7 figures
arxiv created 2008/10/13 · openalex publication_date 2008/10/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We calculate the pion-pole term of the light-by-light contribution to the g\ensuremath-2 of the muon in the framework of an effective chiral quark model with instantonlike 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\ensuremath-2)/2 of the muon is (6.3--6.7)\ifmmode×\else\texttimes\fi10^\ensuremath-10, which is in the ball park of other effective-model calculations.