2017
DOI: 10.1016/j.cpc.2017.05.004
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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

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Cited by 142 publications
(124 citation statements)
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“…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.…”
Section: Jhep03(2018)048mentioning
confidence: 99%
“…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.…”
Section: Jhep03(2018)048mentioning
confidence: 99%
“…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].…”
Section: Review Of Differential Equations and Multiple Polylogarithmsmentioning
confidence: 99%
“…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].…”
Section: Jhep04(2017)008mentioning
confidence: 99%