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Interference effects in BSM processes with a generalised narrow-width approximation.

Elina Fuchs1, Silja Thewes1, Georg Weiglein1

  • 1DESY, Deutsches Elektronen-Synchrotron, Notkestr. 85, 22607 Hamburg, Germany.

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A new method generalizes the narrow-width approximation to include interference effects between similar particles. This approach significantly improves predictions for beyond-Standard Model physics, offering more accurate results.

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Area of Science:

  • High Energy Physics
  • Beyond Standard Model (BSM) Physics
  • Quantum Field Theory

Background:

  • The narrow-width approximation (NWA) is a standard tool for factorizing complex particle processes into production and decay stages.
  • Standard NWA can be inaccurate when dealing with nearly mass-degenerate particles due to unaddressed interference effects.
  • Beyond Standard Model (BSM) theories often feature such particle spectra, necessitating improved theoretical tools.

Purpose of the Study:

  • To formulate a generalized narrow-width approximation (NWA) capable of consistently treating interference effects.
  • To demonstrate the impact of these interference effects on predictions within BSM scenarios.
  • To validate the generalized NWA's accuracy against full calculations at tree and one-loop levels.

Main Methods:

  • Development of a generalized NWA that incorporates interference between nearly mass-degenerate particles.
  • Application of the generalized NWA to a specific process: production of neutral Higgs bosons (h, H) from neutralino decay in the Minimal Supersymmetric Standard Model (MSSM).
  • Calculation of production and decay at tree and one-loop levels using on-shell matrix elements or approximations.

Main Results:

  • Interference effects in BSM models can be substantial, significantly altering predictions compared to the standard NWA.
  • The generalized NWA yields UV- and IR-finite results.
  • Numerical agreement between the generalized NWA and full calculations is excellent, exceeding 99% for the studied MSSM process at tree and one-loop orders.

Conclusions:

  • The generalized NWA provides a consistent and accurate method for factorizing processes involving nearly mass-degenerate particles.
  • This improved approximation is crucial for reliable predictions in BSM physics, particularly in scenarios with complex particle spectra.
  • The method shows high fidelity to full calculations, offering a computationally efficient yet precise alternative.