Speaker
Description
We present the computation of all planar three-loop four-point integral families with two off-shell legs, which are relevant for the leading-colour N3LO QCD corrections to the production of two massive vector bosons at hadron colliders. We employ the method of differential equations, enhanced by the construction of pure bases for the master integrals of each family, and utilize finite field techniques for the reconstruction of the connection matrices. To evaluate the differential equations, we use the method of generalized power-series expansions, as implemented in the public packages DiffExp and Amflow, with our implementation allowing for numerical evaluation at any phase-space point in the physical region. Compared to the two-loop case, the problem is significantly more involved, not only due to the larger number of master integrals, but also because of the appearance of new square roots and an extended symbol alphabet.
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