Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)

Details Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2) Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)

2001-07-06

arxiv.org/abs/hep-ph/0107069v3

Phys.Lett. B520 (2001) 222-232

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 2 eps-figures, revtex; changes in presentation; different consideration of the (rho -> pi pi gamma) channel in the d

Scientific paper

10.1016/S0370-2693(01)01151-0

The hadronic vacuum polarization contribution to the muon (g-2) value is calculated by considering a known dispersion integral which involves the $R_{e+ e-}(s)$ ratio. The theoretical part stemming from the region below 1.8 GeV is the largest contribution in our approach, and is calculated by using a contour integral involving the associated Adler function $D(Q^2)$. In the resummations, we explicitly take into account the exactly known renormalon singularity of the leading infrared renormalon in the usual and in the modified Borel transform of $D(Q^2)$, and map further away from the origin the other renormalon singularities by employing judiciously chosen conformal transformations. The renormalon effect increases the predicted value of the hadronic vacuum polarization contribution to the muon (g-2), and therefore diminishes the difference between the recently measured and the SM/QCD-predicted value of (g-2). It is also shown that the total QED correction to the hadronic vacuum polarization is very small, about 0.06 percent.

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