Disperon QED

Abstract

We present disperon QED, a method to deal with data input in loop processes in Monte Carlo codes. It relies on dispersion relations, automated tools such as OpenLoops, effective field theory methods and a threshold subtraction. We motivate this method and apply it to the process $ee\to \pi \pi$ in McMule to deal with hadronic vacuum polarisation insertions in two-loop contributions as well as the vector form factor of the pion within the form-factor scalar QED approximation. The generality of this method for more complicated processes is emphasised.

34 pages, 8 figures, published version

References in corpus (81)

• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• OpenLoops 2
• Two-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Reduction of one-loop tensor 5-point integrals
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• On the Rational Terms of the one-loop amplitudes
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• Review of two-photon exchange in electron scattering
• Dispersive approach to hadronic light-by-light scattering
• On-the-fly reduction of open loops
• Two-Photon Physics in Hadronic Processes
• Expansion by regions: revealing potential and Glauber regions automatically
• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• Geometric approach to asymptotic expansion of Feynman integrals
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Two-photon exchange in elastic electron-proton scattering
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Photon pair production at flavour factories with per mille accuracy
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• The radiative return at phi- and B-factories: FSR at next-to-leading order
• QED at NNLO with McMule
• The structure function method applied to polarized and unpolarized electron-proton scattering: a solution of the G_E(p)/G_M(p) discrepancy
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• Feynman rules for the rational part of the Electroweak 1-loop amplitudes
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Virtual photon-photon scattering
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Hadronic corrections to $\mu$-$e$ scattering at NNLO with space-like data
• Muon-electron scattering at NNLO: the hadronic corrections
• Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• A new event generator for the elastic scattering of charged leptons on protons
• Muon-electron scattering at NNLO
• Bhabha scattering at NNLO with next-to-soft stabilisation
• Principal Landau Determinants
• Charge asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process
• Radiative corrections to the forward-backward asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Two-photon exchange from intermediate state resonances in elastic electron-proton scattering
• A subtraction scheme for massive QED
• Nucleon resonances in Compton scattering
• NNLO virtual and real leptonic corrections to muon-electron scattering
• Two-loop QED hadronic corrections to Bhabha scattering
• Muon-electron scattering at NLO
• Towards muon-electron scattering at NNLO
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• The Four Dimensional Helicity Scheme Beyond One Loop
• Second-Order Leptonic Radiative Corrections for Lepton-Proton Scattering
• The Infrared Structure of QCD Amplitudes and $H\to gg$ in FDH and DRED
• Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region
• Cottingham formula and nucleon polarizabilities
• Exciting Nucleons in Compton Scattering and Hydrogen-Like Atoms
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Elements of QED-NRQED Effective Field Theory: I. NLO scattering at leading power
• Lepton pair production at NNLO in QED with EW effects
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Elements of QED-NRQED Effective Field Theory: II. Matching of Contact Interactions
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• An update of Euclidean windows of the hadronic vacuum polarization
• Two photon exchange in elastic electron scattering off hadronic systems
• Expansion by regions with pySecDec
• Radiative corrections to $\tau \to \pi \pi {\nu }_{\tau }$
• Improved calculation of radiative corrections to $\tau \to \pi \pi {\nu }_{\tau }$ decays
• Møller scattering at NNLO
• Impact of NNLO QED corrections on lepton-proton scattering at MUSE
• Effects of electroweak radiative corrections in polarized low-energy electron-positron annihilation into lepton pairs
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Two-loop radiative corrections to $e^{+}{e}^{-}\to \gamma {\gamma }^{\ast }$ cross section
• Forward-backward asymmetry in $e^{+}{e}^{-}$ annihilation into pions or kaons revisited
• Beyond QED: Electroweak and hadronic extensions of McMule
• Parity violation in Møller scattering within low-energy effective field theory
• The hadronic vacuum polarization contribution to the muon $g-2$ at long distances
• Fast evaluation of Feynman integrals for Monte Carlo generators
• Analytical Evaluation of Elastic Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory

Cited by in corpus (2)

• Radiative return at NLOPS accuracy
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach