Preprint PUBDB-2022-01054

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High precision QED Initial State Corrections for $e^+ e^- \rightarrow \gamma^*/Z^*$ Annihilation

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2022

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Report No.: DESY-22-024; DO-TH 22/04; SAGEX-22-19; TTP-22-011; arXiv:2202.08476

Abstract: The precise knowledge of the QED initial state corrections is of instrumental importance in studyinghigh luminosity measurements in $e^+e^-$ annihilation at facilities like LEP, the International Linear ColliderILC, CLIC, a Giga-$Z$ facility, and the planned FCC\_ee. Logarithmic corrections of up to $O(\alpha^6 L^5)$ arenecessary with various subleading terms taken into account. This applies to both the inclusive measurementof processes like $e^+ e^- \rightarrow \gamma^*/Z^*$ and also the forward--backward asymmetry. As has been shownrecently, techniques from massive QCD, such as the computation of massive on--shell operator matrix elements canbe used for these calculations. We give an introduction to this topic and present both the calculationmethods and the numerical corrections having been reached so far.

Keyword(s): angular distribution, asymmetry ; luminosity, high ; annihilation ; quantum electrodynamics ; ILC Coll ; initial state ; quantum chromodynamics ; CERN LEP Stor ; CERN CLIC

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Note: 24 pages LATEX, 5 FiguresFulltext corresponds to the Post referee version

Contributing Institute(s):
  1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850) (764850)
Experiment(s):
  1. LHC: Other

Appears in the scientific report 2022
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Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;
High precision QED Initial State Corrections for $e^+ e^- \rightarrow \gamma^*/Z^*$ Annihilation
Modern physics letters / A 37(07), 2230004 () [10.1142/S021773232230004X]  GO arXiv  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2022-02-11, last modified 2023-05-10