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Simon Badger1, Heribertus Bayu Hartanto2, Simone Zoia1

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We calculated two-loop quantum chromodynamics (QCD) corrections for a specific particle interaction. This research provides a new method for analyzing scattering processes, crucial for understanding fundamental physics.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)
  • Particle Physics

Background:

  • Precision calculations in particle physics are essential for interpreting experimental data.
  • Understanding W boson production in association with bottom quarks is key to testing the Standard Model.
  • Previous calculations lacked the precision needed for certain theoretical and experimental contexts.

Purpose of the Study:

  • To compute the two-loop quantum chromodynamics (QCD) corrections to the ud[over ¯]→W^{+}bb[over ¯] process.
  • To develop an analytic method for handling infrared and ultraviolet divergences in scattering amplitudes.
  • To provide a foundation for more precise theoretical predictions in high energy physics.

Main Methods:

  • Employed leading color and massless bottom quark approximations.
  • Utilized integration-by-parts reduction techniques on the unpolarized squared matrix element.
  • Applied finite field reconstruction for analytic calculations.
  • Identified a novel basis of special functions for pole subtraction.

Main Results:

  • Successfully performed an analytic computation of the two-loop QCD corrections.
  • Developed a method for analytic subtraction of infrared and ultraviolet poles.
  • Established a basis of special functions applicable to various planar five-particle scattering topologies.

Conclusions:

  • The presented analytic computation offers a significant advancement in theoretical precision for the studied process.
  • The developed methodology for pole subtraction is broadly applicable to complex scattering calculations.
  • This work contributes to a more refined understanding of electroweak and strong interactions in particle physics.