A complete set of scalar master integrals for massive 2-loop Bhabha scattering: where we are
arXiv:hep-ph/0406203 · doi:10.1016/j.nuclphysbps.2004.09.040
Abstract
We define a complete set of scalar master integrals (MIs) for massive 2-loop QED Bhabha scattering. Among others, there are thirty three 2-loop box type MIs. Five of them have been published in (semi-)analytical form, one is determined here, the rest remains to be calculated. Further, the last four so far unknown 2-loop 3-point MIs are identified and also computed here.
5 pages, preprint number added, footnote 5 updated
References in corpus (14)
- Harmonic Polylogarithms
- Differential Equations for Two-Loop Four-Point Functions
- Differential Equations for Feynman Graph Amplitudes
- An automatized algorithm to compute infrared divergent multi-loop integrals
- The analytical value of the electron (g-2) at order alpha^3 in QED
- Two-Loop Master Integrals for Jets: The planar topologies
- Two-Loop Correction to Bhabha Scattering
- Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model
- Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
- Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
- Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
- ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model
- Muon Decay to One Loop Order in the Left-Right Symmetric Model
- Massive two-loop Bhabha scattering -- the factorizable subset
Cited by in corpus (22)
- Automatized analytic continuation of Mellin-Barnes integrals
- Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
- AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
- Electroweak two-loop corrections to the effective weak mixing angle
- Two-Loop Photonic Corrections to Massive Bhabha Scattering
- Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
- Two-Loop Corrections to Bhabha Scattering
- Master integrals for massive two-loop Bhabha scattering in QED
- Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
- The QCD form factor of heavy quarks at NNLO
- The planar four-point master integrals for massive two-loop Bhabha scattering
- Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
- Two-Loop Bhabha Scattering in QED
- Virtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering
- First order radiative corrections to Bhabha scattering in dimensions
- Differential equations and massive two-loop Bhabha scattering: the B5l2m3 case
- Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2
- Harmonic polylogarithms for massive Bhabha scattering
- News on Ambre and CSectors
- Two-loop QED Corrections to Bhabha Scattering
- Virtual Hadronic Corrections to Massive Bhabha Scattering
- Two-parton contribution to the heavy-quark A_FB at NNLO QCD in e+e- collisions