Fuchsia : A tool for reducing differential equations for Feynman master integrals to epsilon form

Abstract

We present Fuchsia -an implementation of the Lee algorithm, which for a given system of ordinary differential equations with rational coefficients

Double-Higgs boson production in the high-energy limit: planar master integrals

“…We made several attempts to produce such a basis using the publicly available programs Fuchsia [36] and CANONICA [37]. We were not able to obtain a canonical basis for our master integrals for all sectors.…”

Differential equations for Feynman integrals beyond multiple polylogarithms

“…This corresponds to a change of basis in the fibre. Methods to find the right transformation have been discussed in [15][16][17][18][19][20][21][22][23][24].…”

Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZW W and γ∗ W W

“…systems with an associated matrix where the dependence on the space-time dimensions is decoupled from the kinematics [8,9], has led to a substantial improvement of the system-solving strategy [10][11][12][13][14][15][16][17][18][19], and to the availability of many novel results. In the case of Feynman integrals that depend on several scales, we have shown that the Magnus exponential [11] is an efficient tool to derive MIs obeying canonical systems starting from a basis of MIs that obey systems of DEs whose matrix has a linear dependence on the space-time dimension [20][21][22].…”