Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2

التفاصيل البيبلوغرافية
العنوان: Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2
المؤلفون: Aoyama, T., Hayakawa, M., Kinoshita, T., Nio, M.
المصدر: Phys.Rev.D83:053003,2011
سنة النشر: 2010
المجموعة: High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology
الوصف: This paper reports the Feynman-parametric representation of the vacuum-polarization function consisting of 105 Feynman diagrams of the eighth order, and its contribution to the gauge-invariant set called Set I(i) of the tenth-order lepton anomalous magnetic moment. Numerical evaluation of this set is carried out using FORTRAN codes generated by an automatic code generation system gencodevpN developed specifically for this purpose. The contribution of diagrams containing electron loop to the electron g-2 is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing muon loop is 0.000 001 67 (3) (alpha/pi)^5. The contribution of tau-lepton loop is negligible at present. The sum of all these terms is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing electron loop to the muon g-2 is 0.087 1 (59) (alpha/pi)^5. That of tau-lepton loop is 0.000 237 (1) (alpha/pi)^5. The total contribution to a_mu, the sum of these terms and the mass-independent term, is 0.104 8 (59) (alpha/pi)^5.
Comment: 48 pages, 6 figures. References are corrected
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.83.053003
URL الوصول: http://arxiv.org/abs/1012.5569
رقم الأكسشن: edsarx.1012.5569
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.83.053003