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Towards collinear evolution equations in electroweak theory.

Marcello Ciafaloni1, Paolo Ciafaloni, Denis Comelli

  • 1Dipartimento di Fisica, Università di Firenze and INFN-Sezione di Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Firenze, Italy.

Physical Review Letters
|March 23, 2002
PubMed
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Electroweak radiative corrections at the TeV scale reveal a new factorization pattern, differing from QCD, due to uncanceled double logs. New splitting functions are derived for broken SU(2) gauge theory, impacting initial beam charge descriptions.

Area of Science:

  • High-energy particle physics
  • Quantum field theory
  • Electroweak interactions

Background:

  • Previous studies identified uncanceled double logarithms in electroweak radiative corrections.
  • Standard factorization patterns, analogous to those in Quantum Chromodynamics (QCD), were expected.
  • Hard inclusive processes at the TeV scale present unique theoretical challenges.

Purpose of the Study:

  • To investigate collinear factorization in electroweak radiative corrections for hard inclusive processes.
  • To understand the implications of uncanceled double logarithms on factorization patterns.
  • To derive new splitting functions relevant to broken SU(2) gauge theory.

Main Methods:

  • Analysis of collinear factorization in electroweak radiative corrections.

Related Experiment Videos

  • Derivation of splitting functions at the one-loop level for broken SU(2) gauge theory.
  • Investigation of structure functions' evolution equations under specific assumptions.

    • Main Results:

    • A factorization pattern qualitatively different from QCD was discovered.
    • New types of splitting functions emerge, crucial for describing initial beam charges.
    • These splitting functions depend on an infrared cutoff linked to the symmetry breaking scale.

    Conclusions:

    • The findings necessitate a revised understanding of factorization in electroweak processes at high energies.
    • The derived splitting functions are essential for accurate theoretical predictions in TeV scale physics.
    • The study provides a foundation for further exploration of electroweak corrections and structure function evolution.