Calculation of the two-loop heavy-flavor contribution to Bhabha scattering

2008/02/21 by Roberto Bonciani, R. Bonciani, A. Ferroglia +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1088/1126-6708/2008/02/080

published as JHEP0802:080,2008 · 43 pages, 8 figures; added references

openalex publication_date 2008/02/21 · arxiv created 2008/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 .

Citations

• TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider
• Precision Calculation of Bhabha Scattering at LEP
• New features of FORM
• Differential Equations for Two-Loop Four-Point Functions
• Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
• The infrared divergence phenomena and high-energy processes
• Degenerate Systems and Mass Singularities
• Harmonic Polylogarithms

Cited by

• Two-loop QED hadronic corrections to Bhabha scattering
• Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel
• Virtual Hadronic Corrections to Massive Bhabha Scattering

Related

• Two-loop fermionic corrections to massive Bhabha scattering
• New 2- and 3-loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering
• Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel
• Massive 2- and 3-loop corrections to hard scattering processes in QCD
• Two-loop QED corrections to the scattering of four massive leptons