Calculation of the Two-Loop Heavy-Flavor Contribution to Bhabha Scattering

Abstract

We describe in detail the calculation of the two-loop corrections to the QED Bhabha scattering cross section due to the vacuum polarization by heavy fermions. Our approach eliminates one mass scale from the most challenging part of the calculation and allows us to obtain the corrections in a closed analytical form. The result is valid for arbitrary values of the heavy fermion mass and the Mandelstam invariants, as long as s,t,u >> m_e^2.

43 pages, 8 figures; added references

References in corpus (8)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Feynman Diagrams and Differential Equations
• Two-loop QED corrections to Bhabha scattering
• Virtual Hadronic and Leptonic Contributions to Bhabha Scattering
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Massive QCD amplitudes at higher orders
• Two-Loop QED Heavy-Flavor Contribution to Bhabha Scattering

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• The QCD form factor of heavy quarks at NNLO
• Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
• Virtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering
• Two-loop QED hadronic corrections to Bhabha scattering
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• Full $\mathcal{O}(\alpha )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}\gamma$ at the ILC with GRACE-Loop
• Virtual Hadronic Corrections to Massive Bhabha Scattering
• Mini-review on Monte Carlo programs for Bhabha scattering
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Bhabha Scattering at NNLO