University of Cambridge > > HEP phenomenology joint Cavendish-DAMTP seminar > Series expansions methods for Feynman integrals and the DiffExp Mathematica package

Series expansions methods for Feynman integrals and the DiffExp Mathematica package

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  • UserMartijn Hidding, Uppsala University
  • ClockThursday 18 February 2021, 16:00-17:00
  • HouseVirtual 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: 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

This talk is part of the HEP phenomenology joint Cavendish-DAMTP seminar series.

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