DREAM, a program for arbitrary-precision computation of dimensional recurrence relations solutions, and its applications

Understand

We present the Mathematica package DREAM for arbitrarily high precision computation of multiloop integrals within the DRA (Dimensional Recurrence & Analyticity) method as solutions of dimensional recurrence relations.

• Starting from these relations, the package automatically constructs the inhomogeneous solutions and reduces the manual efforts to setting proper homogeneous solutions.
• DREAM also provides means to define the homogeneous solutions of the higher-order recurrence relations (and can construct those of the first-order recurrence relations automatically).
• Therefore, this package can be used to apply the DRA method to the topologies with sectors having more than one master integral.