# Some applications of Griffiths theorem in theory of Feynman integrals

## TL;DR

This paper introduces a method leveraging Griffiths theorem to derive partial differential equations for Feynman integrals, including an algorithm for ladder diagrams, advancing computational techniques in quantum field theory.

## Contribution

It presents a novel approach using Griffiths theorem to find PDEs for Feynman integrals and provides an algorithm specifically for ladder-type diagrams.

## Key findings

- Developed a method to find PDEs for Feynman integrals using Griffiths theorem.
- Created an algorithm for ladder diagram Feynman integrals.
- Enhanced computational tools for analyzing Feynman diagrams.

## Abstract

The present paper provides a method for finding partial differential equations satisfied by the Feynman integrals for diagrams of various types, using the Griffiths theorem on the reduction of poles of rational differential forms. As an application, an algorithm for computing partial differential equations satisfied by Feynman integrals for diagrams of a ladder type is described.