2003/09/19 by S. Groote, Groote, S., J. G. Körner +3
Computer Science · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0309226
17 pages in LaTeX, including 4 Postscript figures
arxiv created 2003/09/19 · openalex publication_date 2003/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the results of a new evaluation of the anomalous magnetic moment amu=(gmu-2)/2 of the muon where the role of input data needed in the evaluation is lowered in the interval between 1.2 and 3.0 GeV below charm threshold. This is achieved by decreasing the size of the weight function in the dispersion integral over the experimental ratio R(s) by subtracting a polynomial from the weight function which mimics its energy dependence in that given energy interval. In order to compensate for this subtraction, the same polynomial weight integral is added again but is now evaluated on a circular contour in the complex plane using QCD and global duality. For the hadronic contribution to the shift in the anomalous magnetic moment of the muon we obtain amuhad(LO) = (701.3 +/- 6.4) x 10-10 at leading order in the electromagnetic coupling. In addition, using the same procedure, we recalculate the next-to-leading contribution amuhad(NLO) = (-10.3 +/- 0.2) x 10-10. Including QED, electroweak, and light-by-light contribution, we obtain a value amu = (11 659 185.6 +/- 6.4had +/- 3.5LBL +/- 0.4QED+EW) x 10-10.