@article{3195119,
    title = "Resummation methods for Master Integrals",
    author = "Canko, Dhimiter D. and Syrrakos, Nikolaos",
    journal = "Journal of High Energy Physics",
    year = "2021",
    number = "2",
    publisher = "Springer-Verlag",
    issn = "1126-6708, 1029-8479",
    doi = "10.1007/JHEP02(2021)080",
    keywords = "NLO Computations; QCD Phenomenology",
    abstract = "We present in detail two resummation methods emerging from the
application of the Simplified Differential Equations approach to a
canonical basis of master integrals. The first one is a method which
allows for an easy determination of the boundary conditions, since it
finds relations between the boundaries of the basis elements and the
second one indicates how using the x -> 1 limit to the solutions of a
canonical basis, one can obtain the solutions to a canonical basis for
the same problem with one mass less. Both methods utilise the residue
matrices for the letters 0, 1 of the canonical differential
equation. As proof of concept, we apply these methods to a canonical
basis for the three-loop ladder-box with one external mass off-shell,
obtaining subsequently a canonical basis for the massless three-loop
ladder-box as well as its solution."
}