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RationalizeRoots: Software Package for the Rationalization of Square Roots

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arxiv 1910.13251 v2 pith:FAGHN3HS submitted 2019-10-23 cs.MS cs.SChep-phhep-thmath-phmath.MP

Marco Besier , Pascal Wasser , Stefan Weinzierl This is my paper · ORCID
classification cs.MScs.SChep-phhep-thmath-phmath.MP
keywords rootssquareprogrambackgroundchangecomputationdetailexplain
verification ladder T0 review T1 audit T2 compute T3 formal
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The computation of Feynman integrals often involves square roots. One way to obtain a solution in terms of multiple polylogarithms is to rationalize these square roots by a suitable variable change. We present a program that can be used to find such transformations. After an introduction to the theoretical background, we explain in detail how to use the program in practice.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Recursive construction of scalar one-loop integrals in dimensional regularisation

    hep-th 2026-07 conditional novelty 8.0 of 10

    A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.

  2. Novel cluster-algebraic letters for 5- and 6-point QCD processes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.

  3. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

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