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Generic calculation of two-body partial decay widths at the full one-loop level.

Mark D Goodsell1,2, Stefan Liebler3, Florian Staub4,5

  • 11Sorbonne Universités, UPMC Univ Paris 06, UMR 7589, LPTHE, 75005 Paris, France.

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This study presents a generic one-loop calculation for two-body particle decays in physics models, enhancing precision for theoretical predictions and comparisons with experimental data.

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Area of Science:

  • High Energy Physics
  • Theoretical Physics
  • Computational Physics

Background:

  • Precise theoretical predictions for particle decays are crucial for testing fundamental physics models.
  • Existing computational tools often lack generality or full one-loop precision for diverse particle physics models.

Purpose of the Study:

  • To implement a fully generic, one-loop calculation of two-body partial decay widths.
  • To provide a framework compatible with various theoretical models, including the Standard Model and the Minimal Supersymmetric Standard Model (MSSM).

Main Methods:

  • Development of generic expressions for virtual and real corrections at the full one-loop level.
  • Implementation of renormalization schemes (e.g., on-shell, $\overline{\text{DR}}$) and model-specific counter-terms.
  • Procedure for canceling infrared divergences using infrared counter-terms and corrected Goldstone boson vertices.

Main Results:

  • Successful implementation of fermionic and scalar decays at full one-loop precision.
  • Validation against established codes (SFOLD, FVSFOLD, HFOLD, CNNDecays) for MSSM and R-parity violating models.
  • Demonstration of renormalization of electric charge in Standard Model top-quark decays.

Conclusions:

  • The SARAH 4.11.0 framework now includes comprehensive one-loop two-body decay width calculations.
  • The implemented methods offer enhanced accuracy and broader applicability for theoretical particle physics research.
  • The framework facilitates precise comparisons between theoretical predictions and experimental observations.