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Two-loop renormalization group equations in the standard model.

Mingxing Luo1, Yong Xiao

  • 1Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China.

Physical Review Letters
|February 7, 2003
PubMed
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Standard Model renormalization group equations were recalculated, revealing a new coefficient in quartic coupling beta functions and absent gauge invariants in hadronic Yukawa couplings. The complete two-loop beta function for the Higgs mass parameter is now available.

Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Standard Model Physics

Background:

  • Renormalization group equations are crucial for understanding the energy scale dependence of particle physics parameters.
  • Previous calculations of two-loop renormalization group equations in the Standard Model may have contained inaccuracies or omissions.

Purpose of the Study:

  • To perform a precise recalculation of two-loop renormalization group equations within the Standard Model.
  • To identify and correct any discrepancies in the beta functions of couplings and mass parameters.
  • To present a complete formulation of the two-loop beta function for the Higgs mass parameter.

Main Methods:

  • Recalculation of two-loop renormalization group equations using established quantum field theory techniques.

Related Experiment Videos

  • Systematic analysis of beta functions for quartic couplings, hadronic Yukawa couplings, and the Higgs mass parameter.
  • Identification of gauge invariant quantities relevant to the beta functions.
  • Main Results:

    • A novel coefficient has been identified in the beta function of the quartic coupling.
    • A specific class of gauge invariants was found to be absent in the beta functions of hadronic Yukawa couplings.
    • The complete two-loop beta function for the Higgs mass parameter has been derived.

    Conclusions:

    • The recalculation provides a more accurate description of the Standard Model's running parameters.
    • The findings necessitate revisions in theoretical predictions relying on these specific beta functions.
    • The complete Higgs mass parameter beta function is essential for precision studies at high energy scales.