High Precision for Hard Processes (HP2 2026)

Session

Track 1 - Numeric integration

T1

Oct 6, 2026, 4:00 PM

NTI Hörsaal, building 30.10 (KIT)

Conveners

Track 1 - Numeric integration: Parallel Session III

• Valentin Hirschi

22. Recursive reduction of two-loop tensor integrals for automated NNLO calculations

Fabian Lange (Universität Zürich and PSI Center for Neutron and Muon Sciences)

10/6/26, 4:00 PM

1

Next-to-next-to-leading order corrections are essential for meeting the precision goals of the LHC and future colliders, making efficient automated NNLO tools increasingly important. Within the OpenLoops framework, the calculation involves loop-momentum tensor integrals, process-dependent tensor coefficients, and process-independent UV and rational counterterms. We present a new recursive...

12. Numerical Evaluation of Multivariate Hypergeometric Functions Using HyperPrecision

Souvik Bera (Asia Pacific Center for Theoretical Physics)

10/6/26, 4:25 PM

Multivariate hypergeometric functions appear in many areas of theoretical physics and mathematics. We present HyperPrecision, a Mathematica package for the high-precision numerical evaluation of multivariate hypergeometric functions and their $\varepsilon$-expansions. In this talk, we will discuss the algorithm and demonstrate the use of the package, with applications including Feynman...

17. Exponentially Converging Numerical Evaluation of Iterated Integrals

Thomas Stone (Technical University of Munich (TUM))

10/6/26, 4:50 PM

1

We present a method for the high-precision numerical evaluation of transcendental functions appearing in Feynman integrals, based on a natural extension of known techniques for approximating transcendental numbers by rationals. The method easily achieves 100+ digits of precision, is systematically improvable and applies broadly to periods of elliptic curves and Calabi-Yau manifolds, as well as...

48. Feynman integrals numerical evaluation with LINE

Renato Maria Prisco (Max Planck Institute for Physics)

10/6/26, 5:15 PM

1

We present the latest developments in LINE, a publicly available computer program for the numerical evaluation of Feynman integrals. By solving differential equations through series expansions, LINE computes boundary values and propagates them efficiently across different kinematic regions while maintaining a strict control over numerical precision. Designed for large-scale computations to...