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arxiv 2405.08863 v1 pith:U7IJ5WT7 submitted 2024-05-14 hep-ph cs.LOhep-th

HepLean: Digitalising high energy physics

classification hep-ph cs.LOhep-th
keywords physicsenergyhighhepleanallowingresultswayswill
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce HepLean, an open-source project to digitalise definitions, theorems, proofs, and calculations in high energy physics using the interactive theorem prover Lean 4. HepLean has the potential to benefit the high energy physics community in four ways: making it easier to find existing results, allowing the creation of new results using artificial intelligence and automated methods, allowing easy review of papers for mathematical correctness, and providing new ways to teach high energy physics. We will discuss these in detail. We will also demonstrate the digitalisation of three areas of high energy physics in HepLean: Cabibbo-Kobayashi-Maskawa matrices in flavour physics, local anomaly cancellation, and Higgs physics.

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  1. Axioms for physical reasoning: codifying the Seiberg--Witten solution in Lean

    hep-th 2026-07 conditional novelty 8.0

    The Seiberg–Witten SU(2) solution is formalized in Lean 4 with physical assumptions as named predicates and mathematical consequences as sorry-free theorems, demonstrating a method for auditing non-rigorous physics arguments.