Five-loop vacuum polarization in pQCD: O(mq2αs4nf2) contribution

2002/12/31 by P.A. Baikov, P. A. Baikov, K.G. Chetyrkin +3 · 11 citations
Physics and Astronomy · #Annihilation #First order #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Polarization (electrochemistry) #QED vacuum #Quantum Chromodynamics and Particle Interactions #Vacuum polarization #Vacuum state #hep-ph

paper · pdf · doi:10.1016/s0370-2693(03)00186-2

published in Physics Letters B 559(3-4), 245-251 (Elsevier BV) · The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

arxiv created 2003/03/11 · openalex publication_date 2003/04/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the analytical calculation of the contribution of order m_q² α_s⁴ n_f² to the absorptive part of the vacuum polarization function of vector currents. This term constitutes an important gauge-invariant part of the full O(m_q² alpha_s⁴) correction to the total cross-section of e⁺ e^- annihilation into hadrons. The results are compared to predictions following from various optimization schemes.

Citations

• Heavy quark current correlators to (αs2
• Quadratic mass corrections of order to the decay rate of Z- and W-bosons
• Correlator of the quark scalar currents and Γtot(H → hadrons) at O(αs3) in pQCD
• Explicit solutions of the multi-loop integral recurrence relations and its application
• Explicit solutions of the 3-loop vacuum integral recurrence relations

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