On the Resummation of the $\alpha {\ln }^{2}zTermsforQEDCorrectionstoDeep-Inelastic$ep$Scatteringand$e^+e^-$ Annihilation

Abstract

The resummation of the $\alpha {\ln }^2(z)$ non-singlet contributions is performed for initial state QED corrections. As examples, the effect of the resummation on neutral-current deep-inelastic scattering and the $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering cross section near the $Z^0$-peak is investigated.

11 pages Latex, including 3 eps-figures

References in corpus (1)

• On the Behaviour of Non--Singlet Structure Functions at Small $x$

Cited by in corpus (14)

• Harmonic Sums and Mellin Transforms up to two-loop Order
• The Theory of Deeply Inelastic Scattering
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
• 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 $O({\alpha }^6{L}^5)$
• O(α^2 L) Radiative Corrections to Deep Inelastic ep 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
• Universal Higher Order Singlet QED Corrections to Unpolarized Lepton Scattering
• The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{0\ast }$ to Higher Orders
• High Precision QED Initial State Corrections for $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ Annihilation
• Higher order QED corrections to deep inelastic scattering