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