Resolve the discrepancy in A1^(10) from diagrams without lepton loops

Resolve the discrepancy in the computed universal QED coefficient A_1^{(10)} for the electron anomalous magnetic moment arising from five-loop QED Feynman diagrams without closed lepton loops (Set V), by determining the correct value of A_1^{(10)}[no lepton loops] and thereby settling the disagreement between independent calculations.

Background

The paper recalculates the total five-loop QED universal contribution A_1^{(10)} to the anomalous magnetic moments of leptons. The author’s total value A_1^{(10)}[Volkov]=5.891(61) differs by 5σ from the previously reported value by Aoyama, Hayakawa, Kinoshita, and Nio (AHKN).

The part of A_1^{(10)} with lepton loops agrees between the author and AHKN, while the part from diagrams without lepton loops (Set V) shows a significant discrepancy. The author’s combined value for diagrams without lepton loops is 6.828(60), whereas AHKN’s corresponding class value reported in Table comparisons is 7.670(159). The Introduction explicitly states that this discrepancy remains unresolved and mentions that independent calculations are forthcoming.