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- W2894969651 abstract "An algorithm to find a solution of differential equations for master integrals in the form of an $epsilon$-expansion series with numerical coefficients is applied to four-loop generalized sunset diagrams with three massive and two massless propagators in order to obtain new analytical results. We analytically evaluate the master integrals at threshold, $p^2=9 m^2$, in an expansion in $epsilon$ up to $epsilon^1$. With the help of our code, we obtain numerical results for the threshold master integrals in an $epsilon$-expansion with the accuracy of 20000 digits and then use the PSLQ algorithm to arrive at analytical values. Our basis of constants is build from bases of multiple polylogarithm values at sixth roots of unity." @default.
- W2894969651 created "2018-10-12" @default.
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- W2894969651 date "2018-10-02" @default.
- W2894969651 modified "2023-10-18" @default.
- W2894969651 title "Evaluating 'elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points" @default.
- W2894969651 doi "https://doi.org/10.22323/1.303.0072" @default.
- W2894969651 hasPublicationYear "2018" @default.
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