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Deep neural network driven simulation based inference method for pole position estimation under model misspecification

Daniel Sadasivan1,*, Isaac Cordero1,†, Andrew Graham1,‡, Cecilia Marsh1,§, Daniel Kupcho1,∥, Melana Mourad1,¶, and Maxim Mai2,3,**

  • *Contact author: daniel.sadasivan@avemaria.edu
  • †Contact author: isaac.cordero@my.avemaria.edu
  • ‡Contact author: andrew.graham@my.avemaria.edu
  • §Contact author: cecilia.marsh@my.avemaria.edu
  • ∥Contact author: daniel.kupcho@my.avemaria.edu
  • Contact author: melana.mourad@my.avemaria.edu
  • **Contact author: maxim.mai@faculty.unibe.ch

Phys. Rev. D 114, 016002 – Published 6 July, 2026

DOI: https://doi.org/10.1103/ncqd-f1g2

Abstract

The method of simulation based inference is shown to lead to a more accurate resonance parameter estimation than traditional χ2 minimization in certain cases of model misspecification in a case-study of ππ scattering and the ρ(770)-resonance. Models fit to certain datasets using χ2 minimization can make inaccurate predictions for the pole position of the ρ(770). Simulation based inference (SBI) is shown to make a more robust predictions for the pole positions. This is significant, both as a proof of concept that the SBI method can be used in cases of model misspecification, and because models of ππ scattering are a crucial part to many physical systems of contemporary interest [a1(1260), ω(782) etc.].

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