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The Monte Carlo replica method: investigating the effects of non-linearity
- Source :
- Proceedings of Science, 2024
- Publication Year :
- 2024
-
Abstract
- This paper presents an in-depth mathematical analysis of the Monte Carlo replica method, commonly used in global fitting studies within the high-energy physics theory field. For the first time, we offer a rigorous derivation of the parameter distributions resulting from this method, demonstrating that, while they align with Bayesian posteriors in linear models, they deviate in non-linear cases. We then numerically assess this discrepancy in a phenomenologically important context: fitting SMEFT Wilson coefficients. Our findings reveal that when non-linearity plays a significant role, the uncertainty estimates for key quantities differ between the two approaches.
- Subjects :
- High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Journal :
- Proceedings of Science, 2024
- Publication Type :
- Report
- Accession number :
- edsarx.2410.05324
- Document Type :
- Working Paper