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Physics-Guided Diffusion Models for Calorimeter Simulation

other · 2026-07-29

A new arXiv preprint introduces Lantern, a method for physics-guided diffusion models in calorimeter simulation. Monte Carlo simulation is a bottleneck for the High-Luminosity LHC, and diffusion models offer fast surrogates but can minimize statistical objectives while violating physics. Existing physics-informed methods require closed-form laws or per-sample constraints unavailable for stochastic showers. The authors propose the Correlation Frobenius Distance (CFD) to measure correlation fidelity across layers and voxels, and encode soft per-sample structure. The paper is available at arXiv:2607.25060.

Key facts

  • arXiv:2607.25060v1
  • Announce Type: cross
  • Monte Carlo simulation is a principal bottleneck for High-Luminosity LHC
  • Diffusion models can minimize denoising objective while placing physics wrong
  • Existing physics-informed methods assume closed-form law, PDE residual, or hard per-sample constraint
  • No per-sample PDE governs stochastic cascade
  • Energy conservation fixes only one scalar per shower
  • Correlation Frobenius Distance (CFD) is introduced for correlation fidelity

Entities

Institutions

  • arXiv

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