Universal Higher Order Singlet QED Corrections to Unpolarized Lepton Scattering

Abstract

We calculate the universal flavor-singlet radiative QED corrections to unpolarized lepton scattering applicable to general differential scattering cross sections, involving charged fermions or photons in initial or final states. The radiators are derived to $O((\alpha \ln (Q^2/m_f^2){)}^5)$ in analytic form. Numerical illustrations are given.

31 pages, 3 figures, 1 style file

References in corpus (27)

• Harmonic Polylogarithms
• The three-loop QCD $\beta$-function and anomalous dimensions
• Parton distributions incorporating QED contributions
• Harmonic Sums and Mellin Transforms up to two-loop Order
• Physics with e^+e^- Linear Colliders
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Analytic approach to the complete set of QED corrections to fermion pair production in e+e- annihilation
• Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x
• On the Behaviour of Non--Singlet Structure Functions at Small $x$
• The Evolution of Unpolarized Singlet Structure Functions at Small x
• HECTOR 1.00 - A program for the calculation of QED, QCD and electroweak corrections to ep and lN deep inelastic neutral and charged current scattering
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• The Singlet Contribution to the Structure Function $g_1(x,Q^2)$ at Small $x$
• QED Radiative Corrections for Parton Distributions
• O(α^2 \ln(m_μ/m_e)) Corrections to Electron Energy Spectrum in Muon Decay
• Model independent QED corrections to the process $ep⟶eX$
• Single Leptoquark Production at Hadron Colliders
• Non-singlet splitting functions in QED
• The Monte Carlo Program KORALZ, for the Lepton or Quark Pair Production at LEP/SLC Energies -- From version 4.0 to version 4.04
• On the QED Radiator at Order ${\alpha }^3$
• O(α^2 L) Radiative Corrections to Deep Inelastic ep Scattering
• Universal Higher Order QED Corrections to Polarized Lepton Scattering
• $O(\alpha )$ QED Corrections to Neutral Current Polarized Deep-Inelastic Lepton-Nucleon Scattering
• The Evolution of Unpolarized and Polarized Structure Functions at Small $x$
• $\mathcal{O}({\alpha }^2{L}^2)$ radiative corrections to deep inelastic $ep$ scattering for different kinematical variables
• On the Resummation of the $\alpha {\ln }^{2}zTermsforQEDCorrectionstoDeep-Inelastic$ep$Scatteringand$e^+e^-$ Annihilation
• Higher order QED corrections to deep inelastic scattering

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• The Theory of Deeply Inelastic Scattering
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• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
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• Subleading Logarithmic QED Initial State Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/{Z^0}^{\ast }$ to $O({\alpha }^6{L}^5)$
• The $O({\alpha }^2)$ Initial State QED Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z_0^{\ast }$
• A new approach to semi-inclusive deep-inelastic scattering with QED and QCD factorization
• On higher order radiative corrections to elastic electron-proton scattering
• On factorisation schemes for the electron parton distribution functions in QED
• High Precision QED Initial State Corrections for $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ Annihilation
• Factorized approach to radiative corrections for inelastic lepton-hadron collisions