Электронный каталог

Статья

Solovtsova, O.P.
Lepton Anomaly from QED Diagrams with Vacuum Polarization Insertions within the Mellin-Barnes Representation / O.P.Solovtsova, V.I.Lashkevich, L.P.Kaptari // The European Physical Journal Plus [Electronic resource]. – 2023. – Vol.138, No.3. – P.212. – URL: https://doi.org/10.1140/epjp/s13360-023-03834-4. – Bibliogr.:58.

The contributions to the anomalous magnetic moment of the lepton L (L=eμ or τ) generated by a specific class of QED diagrams are evaluated analytically up to the eighth order of the electromagnetic coupling constant. The considered class of the Feynman diagrams involves the vacuum polarization insertions into the electromagnetic vertex of the lepton L up to three closed lepton loops. The corresponding analytical expressions are obtained as functions of the mass ratios r=ml/mL in the whole region 01. We argue that in spite of the obtained explicit expressions in these intervals which are quite different, at first glance, they represent two branches of the same analytical function. Consequently, for each order of corrections there is a unique analytical function defined in the whole range of r∈(0,∞). The results of numerical calculations of the fourth-, sixth- and eighth-order corrections to the anomalous magnetic moments of leptons (L=e,μ,τ) with all possible vacuum polarization insertions are represented as functions of the ratio r=ml/mL. Whenever pertinent, we compare our analytical expressions and the corresponding asymptotical expansions with the known results available in the literature.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 324.1а - Квантовая электродинамика. Эксперименты по проверке КЭД при высоких и низких энергиях$
Бюллетени = 1/023