HiggsTools Journal Club XII: Master Integrals technique for multi-loop computations: the Differential Equations approach

by Mrs Elisa Mariani (NIKHEF)



During the nineties a technique called "Master Integrals" was developed to face efficiently the issue of computing multi-loop diagrams. This method proved itself extremely powerful, making possible some computations that had been thought not feasible before, due to the huge number of Feynamn integrals required. The main feature of the technique is the ability to reduce this number of Feynman integrals to a set as small as possible of independent integrals, the Master Integrals. In this talk I will briefly review the basis of the reduction of an initial set of integrals to a set of Masters, and I will then focus on their explicit calculation through the so-called technique of Differential Equations for Master Integrals.