TY - JOUR
TI - Resummation methods for Master Integrals
AU - Canko, Dhimiter D.
AU - Syrrakos, Nikolaos
JO - Journal of High Energy Physics
PY - 2021
VL - null
TODO - 2
SP - null
PB - Springer-Verlag
SN - 1126-6708, 1029-8479
TODO - 10.1007/JHEP02(2021)080
TODO - NLO Computations; QCD Phenomenology
TODO - 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.
ER -