QED at NNLO with McMule
arXiv:2007.01654 · doi:10.21468/SciPostPhys.9.2.027
Abstract
McMule is a framework for fully differential higher-order QED calculations of scattering and decay processes involving leptons. It keeps finite lepton masses, which regularises collinear singularities. Soft singularities are treated with dimensional regularisation and using FKS subtraction. We describe the implementation of the framework in Fortran 95, list the processes that are currently implemented, and give instructions on how to run the code. In addition, we present new phenomenological results for muon-electron scattering and lepton-proton scattering, including the dominant NNLO corrections. While the applications presented focus on MUonE, MUSE, and P2, the code can be used for a large number of planned and running experiments.
35 pages, 12 figures, minor changes, published version
References in corpus (71)
- The NumPy array: a structure for efficient numerical computation
- The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
- Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
- Three-jet cross sections to next-to-leading order
- Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations
- Package-X: A Mathematica package for the analytic calculation of one-loop integrals
- The of charged leptons, and the hyperfine splitting of muonium
- Reduction schemes for one-loop tensor integrals
- OpenLoops 2
- A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to
- Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
- Automation of next-to-leading order computations in QCD: the FKS subtraction
- The electric and magnetic form factors of the proton
- Reduction of one-loop tensor 5-point integrals
- GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
- A General Approach To Photon Radiation Off Fermions
- Scalar one-loop 4-point integrals
- RECOLA: REcursive Computation of One-Loop Amplitudes
- Recola2: REcursive Computation of One-Loop Amplitudes 2
- The muon -2 and connection
- Measuring the leading hadronic contribution to the muon g-2 via scattering
- Radiative Corrections to Electron-Proton Scattering
- Precision Measurement of the Weak Charge of the Proton
- Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
- Review of two-photon exchange in electron scattering
- Electroweak gauge bosons self--energies: complete QCD corrections
- A new approach to evaluate the leading hadronic corrections to the muon g-2
- Extraction of the proton radius from electron-proton scattering data
- The singular behavior of massive QCD amplitudes
- On-the-fly reduction of open loops
- Muon g-2 Theory: the Hadronic Part
- Two-loop QED corrections to Bhabha scattering
- Two-photon exchange in elastic electron-proton scattering
- Two-Loop Photonic Corrections to Massive Bhabha Scattering
- Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
- Two-Loop Corrections to Bhabha Scattering
- Master integrals for the NNLO virtual corrections to 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 scattering in QED: the planar graphs
- The electron energy spectrum in muon decay through O(alpha^2)
- Heavy-to-heavy quark decays at NNLO
- Enabling rootless Linux Containers in multi-user environments: the udocker tool
- Hadronic corrections to - scattering at NNLO with space-like data
- The MOLLER Experiment: An Ultra-Precise Measurement of the Weak Mixing Angle Using Møller Scattering
- Muon-electron scattering at NNLO: the hadronic corrections
- New physics at the MUonE experiment at CERN
- Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer
- The P2 Experiment - A future high-precision measurement of the electroweak mixing angle at low momentum transfer
- The partonic structure of the electron at the next-to-leading logarithmic accuracy in QED
- Small-mass effects in heavy-to-light form factors
- Measurement of the running of the QED coupling in small-angle Bhabha scattering at LEP
- Two-photon exchange contribution to elastic -proton scattering: Full dispersive treatment of states and comparison with data
- Effective field theory for large logarithms in radiative corrections to electron proton scattering
- Fully differential NLO predictions for the rare muon decay
- Two-photon exchange correction to muon-proton elastic scattering at low momentum transfer
- Radiative and leptonic decays at NLO
- Charge asymmetry in elastic scattering of massive leptons on protons
- The running of the electromagnetic coupling alpha in small-angle Bhabha scattering
- A subtraction scheme for massive QED
- Technical Design Report for the Paul Scherrer Institute Experiment R-12-01.1: Studying the Proton "Radius" Puzzle with μp Elastic Scattering
- Muon-electron scattering at NLO
- Search for lepton flavour violating muon decay mediated by a new light particle in the MEG experiment
- Second-Order Leptonic Radiative Corrections for Lepton-Proton Scattering
- Fully differential NLO predictions for the radiative decay of muons and taus
- Next-to-leading order prediction for the decay
- Muon polarization in the MEG experiment: predictions and measurements
- Rational Terms of UV Origin at Two Loops
- On higher order radiative corrections to elastic electron-proton scattering
- Hyperspherical Integration and the Triple-Cross Vertex Graphs
- Improved radiative corrections for (e,e'p) experiments - A novel approach to multi-photon bremsstrahlung
- NNLO QED contribution to the elastic scattering
Cited by in corpus (47)
- The anomalous magnetic moment of the muon in the Standard Model: an update
- Precision Studies of QCD in the Low Energy Domain of the EIC
- Event Generators for High-Energy Physics Experiments
- Massive vector form factors to three loops
- 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
- Status of the MUonE experiment
- NNLO virtual and real leptonic corrections to muon-electron scattering
- Exact results for and with two mass scales and up to three loops
- Towards muon-electron scattering at NNLO
- Search for lepton flavour violating muon decay mediated by a new light particle in the MEG experiment
- The LBK theorem to all orders
- Science Case for the new High-Intensity Muon Beams HIMB at PSI
- Muon-electron backward scattering: a prime example for endpoint singularities in SCET
- Single production in scattering at MUonE
- High-precision muon decay predictions for ALP searches
- Lepton pair production at NNLO in QED with EW effects
- Radiative corrections to the lepton current in unpolarized elastic -interaction for fixed and scattering angle
- Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in collisions
- Lepton pair production in muon-nucleus scattering
- Two-loop Vertices with Vacuum Polarization Insertion
- Conceptual Design of the Muonium-to-Antimuonium Conversion Experiment (MACE)
- Multiple soft-photon emission at next-to-leading power to all orders
- Electroweak effects in polarized muon-electron scattering
- Radiative corrections to elastic muon-proton scattering at low momentum transfers
- A theory vade mecum for PSI experiments
- Towards testing in : radiative corrections and projections for Belle II
- Improved muon decay simulation with McMule and Geant4
- Disperon QED
- Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory
- Two-Loop Four-Fermion Scattering Amplitude in QED
- Radiative return at NLOPS accuracy
- Møller scattering at NNLO
- Instrumental uncertainties in radiative corrections for the MUSE experiment
- Light new physics and the lepton dipole moments: prospects at Belle II
- Looking for an axion in a haystack of muons
- Towards a Fully Automated Differential Generator for Lepton Colliders
- Parity violation in Møller scattering within low-energy effective field theory
- Monte Carlo Event Generators
- Universal structure of radiative QED amplitudes at one loop
- CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper
- Vanishing cycles and analysis of singularities of Feynman diagrams
- Status of the MUonE experiment
- Towards NNLO corrections to muon-electron scattering
- Monte Carlo Event Generators for Future Lepton Colliders
- Two-loop tensor integral coefficients in OpenLoops