Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

Area of Science:

• High Energy Physics
• Quantum Field Theory
• Particle Physics

Background:

• The calculation of Higgs boson mass in renormalizable field theories is hindered by the Goldstone Boson Catastrophe, leading to divergent loop integrals.
• Existing methods offer partial solutions for supersymmetric models but fail for non-supersymmetric theories.

Purpose of the Study:

• To present a general solution for the Goldstone Boson Catastrophe in Higgs mass calculations.
• To implement this solution in the public code SARAH and provide new loop integral calculations.
• To explore the breakdown of tree-level mass relations in non-supersymmetric models.

Main Methods:

• Implementation of a general solution to the Goldstone Boson Catastrophe within the SARAH code.
• Calculation of essential loop integrals and derivation of generic expressions.
• Validation of the code using the Standard Model and application to various extensions.

Main Results:

• Successful validation of the SARAH code against known Standard Model Higgs mass results.
• New applications and calculations for Split SUSY, NMSSM, Two-Higgs-Doublet Model, and Georgi-Machacek model.
• Demonstration that loop corrections often become significant before naive perturbativity bounds are reached.

Conclusions:

• The developed SARAH code provides a robust solution to the Goldstone Boson Catastrophe for a wide range of field theories.
• This work advances the precise calculation of Higgs boson masses, particularly in non-supersymmetric extensions.
• The findings highlight the importance of including loop corrections beyond simple perturbativity limits.