NNLO virtual and real leptonic corrections to muon-electron scattering

Abstract

The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. The fixed-order NNLO radiative corrections due to the emission of virtual and real leptonic pairs are described and their numerical impact is discussed for typical event selections of the MUonE experiment, by means of the upgraded Monte Carlo code MESMER.

arXiv comment35 pages, 26 figures. A Mathematica ancillary file for MIs discussed in Appendix A is provided. Updated to the published version: one reference added, some details added at the end of Section 4, few typos corrected, conclusions unchanged

References in corpus (68)

• The anomalous magnetic moment of the muon in the Standard Model
• Harmonic Polylogarithms
• The Muon g-2
• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Differential Equations for Feynman Graph Amplitudes
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• FORM version 4.0
• Numerical evaluation of multiple polylogarithms
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• RECOLA: REcursive Computation of One-Loop Amplitudes
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Magnus and Dyson Series for Master Integrals
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Constraints on the two-pion contribution to hadronic vacuum polarization
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• All electroweak four fermion processes in electron-positron collisions
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• QED at NNLO with McMule
• Radiation of Light Fermions in Heavy Fermion Production
• RationalizeRoots: Software Package for the Rationalization of Square Roots
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• Three-loop master integrals for ladder-box diagrams with one massive leg
• Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
• Hadronic corrections to $\mu$-$e$ scattering at NNLO with space-like data
• Two-Loop N_F=1 QED Bhabha Scattering Differential Cross Section
• New physics at the MUonE experiment at CERN
• Muon-electron scattering at NNLO: the hadronic corrections
• Virtual Hadronic and Leptonic Contributions to Bhabha Scattering
• Small-mass effects in heavy-to-light form factors
• Measurement of the running of the QED coupling in small-angle Bhabha scattering at LEP
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• The Muon g-2 in Progress
• A subtraction scheme for massive QED
• The running of the electromagnetic coupling alpha in small-angle Bhabha scattering
• Muon-electron scattering at NLO
• Two-loop QED hadronic corrections to Bhabha scattering
• Towards muon-electron scattering at NNLO
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• Light Pair Correction to Bhabha Scattering at Small Angle
• NNLO leptonic and hadronic corrections to Bhabha scattering and luminosity monitoring at meson factories
• Improved Phase Space Treatment of Massive Multi-Particle Final States
• A study of muon-electron elastic scattering in a test beam
• Ratios of the hadronic contributions to the lepton $g-2$ from Lattice QCD+QED simulations
• Light-Pair Corrections to Small-Angle Bhabha Scattering in a Realistic Set-up at LEP
• Results on Multiple Coulomb Scattering from 12 and 20 GeV electrons on Carbon targets
• Pair Production in Small-Angle Bhabha Scattering
• Virtual Hadronic Corrections to Massive Bhabha Scattering

Cited by in corpus (9)

• Muon-electron scattering at NNLO
• Status of the MUonE experiment
• Dark Photons and Displaced Vertices at the MUonE Experiment
• MUonE, muon $g-2$ and electroweak precision constraints within 2HDMs
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Electroweak effects in polarized muon-electron scattering
• Implications of the muon anomalous magnetic moment for the LHC and MUonE
• Disperon QED
• Towards NNLO corrections to muon-electron scattering