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Heavy-to-light-quark decays with two-loop accuracy.

Ian Blokland1, Andrzej Czarnecki, Maciej Slusarczyk

  • 1Department of Physics, University of Alberta, Edmonton, AB T6G 2J1, Canada.

Physical Review Letters
|August 25, 2004
PubMed
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Researchers determined new Feynman diagrams for heavy-to-light transitions. This work calculates corrections to top quark decay and semileptonic b quark decay, confirming previous findings.

Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Particle Physics

Background:

  • Feynman diagrams are essential tools for calculating particle interactions in quantum field theory.
  • Understanding heavy-to-light transitions is crucial for precision tests of the Standard Model.
  • Previous calculations of top quark decay and semileptonic b quark decay have been performed at lower orders.

Purpose of the Study:

  • To introduce and utilize a new class of three-loop Feynman diagrams for heavy-to-light transitions.
  • To compute the O(alpha2(s)) corrections to the top quark decay t --> bW.
  • To calculate the distribution of lepton invariant mass in the semileptonic b quark decay b --> ulnu and confirm previous results for muon lifetime corrections.

Main Methods:

  • Development of a novel class of three-loop Feynman diagrams.

Related Experiment Videos

  • Application of these diagrams to calculate perturbative corrections in Quantum Chromodynamics (QCD).
  • Analytical and numerical evaluation of loop integrals.

    • Main Results:

    • A new computational framework for three-loop Feynman diagrams in heavy-to-light transitions has been established.
    • The O(alpha2(s)) corrections to the top quark decay t --> bW have been determined.
    • The lepton invariant mass distribution in b --> ulnu decays has been calculated, confirming prior results for muon lifetime O(alpha2) corrections.

    Conclusions:

    • The new class of Feynman diagrams provides a powerful tool for higher-order calculations in particle physics.
    • The precise calculation of decay processes offers opportunities for stringent tests of the Standard Model.
    • This work contributes to the ongoing effort to achieve higher precision in theoretical predictions for particle decays.