Recent new methods and applications of the differential equation approach to master integrals

TL;DR

This paper reviews the simplified differential equations method for calculating master integrals and demonstrates its effectiveness by computing complex two-loop integrals relevant to LHC diboson production.

Contribution

It introduces and applies a simplified differential equations approach to evaluate complex two-loop master integrals in particle physics.

Findings

Successfully computed non-trivial two-loop master integrals

Validated the method's applicability to LHC processes

Enhanced techniques for calculating Feynman integrals

Abstract

A short review is given of the simplified differential equations approach to Master Integrals, which was recently proposed by one of the authors. We show its applicability by calculating some non-trivial two-loop planar Master Integrals, namely those contributing to amplitudes of massive diboson VV' production at the LHC with massless internal lines.