Series expansions methods for Feynman integrals and the DiffExp Mathematica package

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• Martijn Hidding, Uppsala University
• Thursday 18 February 2021, 16:00-17:00
• Virtual Seminar .

If you have a question about this talk, please contact Rene Poncelet.

The seminar will take place via Zoom here.

The Zoom coordinates and password are: https://maths-cam-ac-uk.zoom.us/j/95215212460?pwd=TWN5cjJ3azErSUYremw5UWRKL0NKUT09 Meeting ID: 952 1521 2460 Passcode: 564166

Abstract: I will discuss the computation of Feynman integrals from their systems of differential equations in terms of series solutions along one-dimensional contours in phase-space. In previous work, we showed that this method can be used for the high-precision numerical evaluation of master integrals relevant for Higgs + jet production at NLO with full heavy quark mass dependence. More recently, I developed in arXiv:2006.05510 the Mathematica package DiffExp that provides a public implementation of such series expansion methods, and which can be applied to user-provided systems of differential equations. I will discuss the algorithms underlying the DiffExp package, and a number of possible applications of the package, such as the computation of the earlier mentioned H+j integral families, and the computation of Feynman integrals for which the underlying space of functions is not well studied.

The slides are available here

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