HepLean: Digitalising high energy physics

TL;DR

HepLean is an open-source platform that digitalises high energy physics concepts using Lean 4, aiming to enhance research, verification, education, and AI integration in the field.

Contribution

It introduces HepLean, a novel digitalisation framework for high energy physics using Lean 4, enabling easier access, verification, and teaching of complex physics results.

Findings

Digitalisation of key physics areas demonstrated

Facilitates mathematical correctness review

Supports AI and automated methods in physics research

Abstract

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.