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Area of Science:

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

Background:

  • Associated production of heavy-quark pairs (e.g., top-antitop) with colorless systems (e.g., Higgs boson) is crucial at hadron colliders.
  • Accurate theoretical predictions require accounting for QCD radiative corrections.
  • Resummation techniques are essential for handling small transverse momentum contributions.

Purpose of the Study:

  • To develop and apply a resummation formalism for QCD radiative corrections to associated heavy-quark pair production.
  • To perform fully differential perturbative calculations for top-antitop quark pair and Higgs boson production.
  • To provide next-to-next-to-leading order results for flavour off-diagonal channels.

Main Methods:

  • Application of QCD radiative corrections.
  • Development of a resummation formalism for small transverse momentum.
  • Utilizing the $\mathcal{C}$ subtraction formalism for fixed-order calculations.
  • Performing fully differential perturbative computations.

Main Results:

  • Resummation coefficients calculated at next-to-leading (NLO) and partly next-to-next-to-leading (NNLO) orders.
  • Complete agreement with established subtraction methods at NLO for top-antitop quark pair and Higgs boson production.
  • First-time presentation of NNLO results for flavour off-diagonal partonic channels.

Conclusions:

  • The developed resummation formalism and $\mathcal{C}$ subtraction method provide accurate predictions for associated heavy-quark production.
  • The study advances theoretical precision in particle physics, particularly for top-quark and Higgs boson physics.
  • The results pave the way for more precise experimental interpretations at the Large Hadron Collider (LHC).