Lepton pair production at NNLO in QED with EW effects

Abstract

We present a fully differential calculation of lepton pair production, taking into account the dominant next-to-next-to-leading order QED corrections as well as next-to-leading order electroweak and polarisation effects. We include all lepton masses, hard photon emission, as well as non-perturbative hadronic corrections. The corresponding matrix elements are implemented in the Monte Carlo framework McMule. In order to obtain a numerically stable implementation, we extend next-to-soft stabilisation, a universal technique based on a next-to-leading-power expansion, to calculations with polarised leptons. As an example, we show results tailored to the Belle II detector with the current setup as well as a potential future configuration that includes polarised beams.

arXiv comment17 pages, 4 figures, published version

References in corpus (40)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Harmonic Polylogarithms
• The Precision Monte Carlo Event Generator KK For Two-Fermion Final States In e+e- Collisions
• Asymptotic expansion of Feynman integrals near threshold
• Three-jet cross sections to next-to-leading order
• Coherent Exclusive Exponentiation For Precision Monte Carlo Calculations
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• The Belle II Physics Book
• OpenLoops 2
• Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
• Automation of next-to-leading order computations in QCD: the FKS subtraction
• The role of polarized positrons and electrons in revealing fundamental interactions at the Linear Collider
• Charge asymmetry of heavy quarks at hadron colliders
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Matching of gauge invariant dimension 6 operators for $b\to s$ and $b\to c$ transitions
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Low-energy effective field theory below the electroweak scale: matching at one loop
• Electroweak gauge bosons self--energies: complete QCD corrections
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• The singular behavior of massive QCD amplitudes
• On-the-fly reduction of open loops
• Soft Photon Radiation in Particle Decays in SHERPA
• Two-loop QED corrections to Bhabha scattering
• Two-Loop Photonic Corrections to Massive Bhabha Scattering
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• QED at NNLO with McMule
• Hadronic corrections to $\mu$-$e$ scattering at NNLO with space-like data
• Small-mass effects in heavy-to-light form factors
• Towards testing the magnetic moment of the tau at one part per million
• Muon-electron scattering at NNLO
• Bhabha scattering at NNLO with next-to-soft stabilisation
• The Monte Carlo Program KKMC for the Lepton or Quark Pair Production at LEP/SLC Energies -- updates of electroweak calculations
• A subtraction scheme for massive QED
• Muon-electron scattering at NLO
• Towards muon-electron scattering at NNLO
• Snowmass 2021 White Paper on Upgrading SuperKEKB with a Polarized Electron Beam: Discovery Potential and Proposed Implementation
• McMule -- QED Corrections for Low-Energy Experiments
• Muon-Electron Scattering at NNLO

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