Two-Loop Photonic Corrections to Massive Bhabha Scattering

Abstract

We describe the details of the evaluation of the two-loop radiative photonic corrections to Bhabha scattering. The role of the corrections in the high-precision luminosity determination at present and future electron-positron colliders is discussed.

20 pages, Latex; discussion, references added; to appear in Nucl.Phys.B

References in corpus (11)

• Two-Loop Corrections to Bhabha Scattering
• Master integrals for massive two-loop Bhabha scattering in QED
• Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
• Two-Loop Sudakov Form Factor in a Theory with Mass Gap
• Two-Loop Static QCD Potential for General Colour State
• Two-Loop N_F=1 QED Bhabha Scattering Differential Cross Section
• Two-Loop Electroweak Logarithms
• Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
• Two-Loop Bhabha Scattering in QED
• A complete set of scalar master integrals for massive 2-loop Bhabha scattering: where we are
• Evaluating multiloop Feynman integrals by Mellin-Barnes representation

Cited by in corpus (62)

• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Infrared singularities of QCD amplitudes with massive partons
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• The singular behavior of massive QCD amplitudes
• Two-loop QED corrections to Bhabha scattering
• Heavy-quark production in massless quark scattering at two loops in QCD
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Event Generators for High-Energy Physics Experiments
• QED at NNLO with McMule
• Forward Instrumentation for ILC Detectors
• Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
• The QCD form factor of heavy quarks at NNLO
• Precise predictions for the associated production of a $W$ boson with a top-antitop quark pair at the LHC
• High-Energy Limit of Mass-Suppressed Amplitudes in Gauge Theories
• The Path to $0.01\%$ Theoretical Luminosity Precision for the FCC-ee
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• The planar four-point master integrals for massive two-loop Bhabha scattering
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Associated production of a $W$ boson and massive bottom quarks at next-to-next-to-leading order in QCD
• Next-to-Next-to-Leading Electroweak Logarithms for W-Pair Production at LHC
• Small-mass effects in heavy-to-light form factors
• Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Initial conditions for electron and photon structure and fragmentation functions
• Muon-electron scattering at NNLO
• Bhabha scattering at NNLO with next-to-soft stabilisation
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• High-Energy Limit of Quantum Electrodynamics beyond Sudakov Approximation
• A subtraction scheme for massive QED
• Calculation of the Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Two-loop QED hadronic corrections to Bhabha scattering
• Virtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering
• The LBK theorem to all orders
• Two-loop Bhabha Scattering at High Energy beyond Leading Power Approximation
• The asymptotic behavior of the heavy quark form factors at higher order
• NLO QED Corrections to Hard-Bremsstrahlung Emission in Bhabha Scattering
• Three-loop quark form factor at high energy: the leading mass corrections
• Next-to-Next-to-Leading Electroweak Logarithms in W-pair Production at ILC
• HHH Whitepaper
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• QED challenges at FCC-ee precision measurements
• High-precision muon decay predictions for ALP searches
• Two-loop Feynman integrals for leading colour $t\bar{t}W$ production at hadron colliders
• Lepton pair production at NNLO in QED with EW effects
• Two-loop electroweak corrections to high energy large-angle Bhabha scattering
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Massive two-loop four-point Feynman integrals at high energies with AsyInt
• Full $\mathcal{O}(\alpha )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}\gamma$ at the ILC with GRACE-Loop
• 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
• Multiple soft-photon emission at next-to-leading power to all orders
• Luminosity Measurement at the International Linear Collider
• Virtual Hadronic Corrections to Massive Bhabha Scattering
• Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Møller scattering at NNLO
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• State-of-the-art cross sections for ttH: NNLO predictions matched with NNLL resummation and EW corrections
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Next-to-next-to-leading order event generation for $t\bar{t}H$ production with approximate two-loop amplitude
• Status and accuracy of the Monte Carlo generators for luminosity measurements