Bhabha Scattering at NNLO

Abstract

We review the status of the calculation of next-to-next-to-leading order corrections to large angle Bhabha scattering in pure QED. After discussing the electron-loop and photonic corrections, we focus on the recently calculated two-loop virtual corrections involving a heavy-flavor fermion loop. We conclude by assessing the numerical impact of these corrections on the Bhabha scattering cross section at colliders operating at a center of mass energy of about 1-GeV.

To appear in the proceedings of PHIPSI 08, Frascati, Italy, 7-10 April 2008. References added

References in corpus (36)

• Harmonic Polylogarithms
• Differential Equations for Feynman Graph Amplitudes
• The analytical value of the electron (g-2) at order alpha^3 in QED
• HPL, a Mathematica implementation of the harmonic polylogarithms
• BHWIDE 1.00: O(alpha) YFS Exponentiated Monte Carlo for Bhabha Scattering at Wide Angles for LEP1/SLC and LEP2
• Numerical Evaluation of Harmonic Polylogarithms
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )$ and extraction of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-})$ below 1 {\rm GeV} with the KLOE detector
• Feynman Diagrams and Differential Equations
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
• Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity
• The singular behavior of massive QCD amplitudes
• Summing up Subleading Sudakov Logarithms
• Two-loop QED corrections to Bhabha scattering
• Large-angle Bhabha scattering and luminosity at flavour factories
• Two-Loop Correction to Bhabha Scattering
• Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
• Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy
• Large angle QED processes at e^+e^- colliders at energies below 3 GeV
• Two-Loop Corrections to Bhabha Scattering
• Master integrals for massive two-loop Bhabha scattering in QED
• An Improved Parton Shower algorithm in QED
• Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
• Master integrals with one massive propagator for the two-loop electroweak form factor
• Two-Loop Sudakov Form Factor in a Theory with Mass Gap
• Asymptotics of Feynman Diagrams and The Mellin-Barnes Representation
• Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
• Two-Loop Electroweak Logarithms
• Virtual Hadronic and Leptonic Contributions to Bhabha Scattering
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Second order contributions to elastic large-angle Bhabha scattering
• Two-Loop Bhabha Scattering in QED
• Calculation of the Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Second order contributions to elastic large-angle Bhabha scattering cross-section
• Precision Calculation of Bhabha Scattering at LEP

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