epsilon: A tool to find a canonical basis of master integrals. In 2013, Henn proposed a special basis for a certain class of master integrals, which are expressible in terms of iterated integrals. In this basis, the master integrals obey a differential equation, where the right hand side is proportional to ϵ in d=4−2ϵ space-time dimensions. An algorithmic approach to find such a basis was found by Lee. We present the tool epsilon, an efficient implementation of Lee’s algorithm based on the Fermat computer algebra system as computational backend.
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References in zbMATH (referenced in 10 articles )
Showing results 1 to 10 of 10.
- Abreu, Samuel; Page, Ben; Zeng, Mao: Differential equations from unitarity cuts: nonplanar hexa-box integrals (2019)
- Hidding, Martijn; Moriello, Francesco: All orders structure and efficient computation of linearly reducible elliptic Feynman integrals (2019)
- Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.: Solving differential equations for Feynman integrals by expansions near singular points (2018)
- Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.: Evaluating `elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points (2018)
- Bosma, Jorrit; Sogaard, Mads; Zhang, Yang: Maximal cuts in arbitrary dimension (2017)
- Gituliar, Oleksandr; Magerya, Vitaly: Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form (2017)
- Kasper J. Larsen, Robbert Rietkerk: MultivariateResidues - a Mathematica package for computing multivariate residues (2017) arXiv
- Mario Prausa: epsilon: A tool to find a canonical basis of master integrals (2017) arXiv
- Prausa, Mario: \textttepsilon: a tool to find a canonical basis of master integrals (2017)
- Zeng, Mao: Differential equations on unitarity cut surfaces (2017)