High Precision QED Initial State Corrections for $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ Annihilation

Abstract

The precise knowledge of the QED initial state corrections is of instrumental importance in studying high luminosity measurements in $e^{+}{e}^{-}$ annihilation at facilities like LEP, the International Linear Collider ILC, CLIC, a Giga-$Z$ facility, and the planned FCC\_ee. Logarithmic corrections of up to $O({\alpha }^6{L}^5)$ are necessary with various subleading terms taken into account. This applies to both the inclusive measurement of processes like $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ and also the forward-backward asymmetry. As has been shown recently, techniques from massive QCD, such as the computation of massive on-shell operator matrix elements, can be used for these calculations. We give an introduction to this topic and present both the calculation methods and the numerical corrections having been reached so far.

arXiv comment24 pages LATEX, 5 Figures

References in corpus (43)

• Harmonic Polylogarithms
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Harmonic sums, Mellin transforms and Integrals
• Harmonic Sums and Mellin Transforms up to two-loop Order
• Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
• Heavy quark coefficient functions at asymptotic values $Q^2\gg m^2$
• Higgs Bosons: Intermediate Mass Range at e+e- Colliders
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
• Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5
• A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
• Next-to-next-to-next-to-leading order QCD prediction for the top anti-top S-wave pair production cross section near threshold in e+ e- annihilation
• QED corrections with partial angular integration to fermion pair production in e+e- - annihilation
• TARCER - A Mathematica program for the reduction of two-loop propagator integrals
• The Evolution of Unpolarized Singlet Structure Functions at Small x
• Top quark mass measurements at and above threshold at CLIC
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• Iterated Binomial Sums and their Associated Iterated Integrals
• TOPAZ0 4.0 - A new version of a computer program for evaluation of de-convoluted and realistic observables at LEP 1 and LEP 2
• Physics at the CLIC Multi-TeV Linear Collider
• Precision Calculation Project Report
• Muon Colliders
• The Compact Linear e${}^{+}$e${}^{-}$ Collider (CLIC): Physics Potential
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• Near-threshold production of heavy quarks with QQbar_threshold
• Non-singlet splitting functions in QED
• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
• The evolution of parton distributions beyond leading order: the singlet case
• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• The $O({\alpha }^2)$ Initial State QED Corrections to $e^{+}{e}^{-}$ Annihilation to a Neutral Vector Boson Revisited
• Subleading Logarithmic QED Initial State Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/{Z^0}^{\ast }$ to $O({\alpha }^6{L}^5)$
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• The $O({\alpha }^2)$ Initial State QED Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z_0^{\ast }$
• Universal Higher Order QED Corrections to Polarized Lepton Scattering
• Direct measurement of alpha_QED(mZ) at the FCC-ee
• Universal Higher Order Singlet QED Corrections to Unpolarized Lepton Scattering
• On the Resummation of the $\alpha {\ln }^{2}zTermsforQEDCorrectionstoDeep-Inelastic$ep$Scatteringand$e^+e^-$ Annihilation
• Higher order pair corrections to electron-positron annihilation
• The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
• The effects of $O({\alpha }^2)$ initial state QED corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ at very high luminosity colliders
• The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
• The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{0\ast }$ to Higher Orders
• Impact of Theory Uncertainties on the Precision of the Top Quark Mass in a Threshold Scan at Future e+e- Colliders

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• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
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