Comment on the sign of the pseudoscalar pole contribution to the muon g-2

2001/12/06 by Masashi Hayakawa, Hayakawa, Masashi, T. Kinoshita +1 · 3 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.hep-ph/0112102

openalex publication_date 2001/12/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We correct the error in the sign of the pseudoscalar pole contribution to the muon g-2, which dominates the O(alpha³) hadronic light-by-light scattering effect. The error originates from our oversight of a feature of the algebraic manipulation program FORM which defines the epsilon-tensor in such a way that it satisfies the relation epsilon_{mu1 mu2 mu3 mu4} epsilon_{nu1 nu2 nu3 nu4} eta^{mu₁ nu₁} eta^{mu₂ nu₂} eta^{mu₃ nu₃} eta^{mu₄ nu₄} = 24, irrespective of space-time metric. To circumvent this problem, we replaced the product epsilon_{mu1 mu2 mu3 mu4} epsilon_{nu1 nu2 nu3 nu4} by - eta_{mu1 nu1} eta_{mu2 nu2} eta_{mu3 nu3} eta_{mu4 nu4} ± cdots in the FORM-formatted program, and obtained a positive value for the pseudoscalar pole contribution, in agreement with the recent result obtained by Knecht \it et al.

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