High Precision for Hard Processes (HP2 2026)

Session

Track 1 - IBP

T1

Oct 5, 2026, 4:15 PM

NTI Hörsaal, building 30.10 (KIT)

Conveners

Track 1 - IBP: Parallel Session I

• Vitaly Magerya

4. Untangling the IBP equations

Junhan William Liu (University of Cambridge)

10/5/26, 4:15 PM

1

In this talk, we will present a general strategy for solving integration-by-parts (IBP) identities. Our approach is based on the diagonalisation of the IBP system, which effectively reduces it to single-variable recurrence relations. To the best of our knowledge, this is achieved here for the first time of its use. This framework yields an iterative reduction procedure that enables highly...

37. Progress towards numerical reduction at two-loops within the HELAC framework

Dr Aris Spourdalakis (NCSR Demokritos)

10/5/26, 4:40 PM

I will present the current status in constructing a generic two-loop amplitude reduction algorithm within the HELAC computational framework. Following HELAC tree- and one-loop paradigm, we have completed the generation and validation of the two-loop amplitude-integrand as well as the algebraic reduction for Leading Color gg -> gg. I will present numerical construction and reduction results of...

72. Efficient Reconstruction of Scattering Amplitudes

Anton Olsson (Karlsruhe Institute of Technology)

10/5/26, 5:05 PM

2

We present a new method for reconstructing scattering amplitudes directly in partial-fractioned form. By evaluating the amplitude on its singular surfaces, we derive constraints on the coefficients in the partial-fractioned ansatz. These constraints significantly reduce the number of integration-by-parts samples required for the reconstruction. The resulting amplitude representation is...

40. Infrared divergences and Feynman integral reduction

Pavel Novichkov (Ghent University)

10/5/26, 5:30 PM

One of the bottlenecks in multiloop amplitude calculations is integration-by-parts (IBP) reduction of the underlying Feynman integrals. In this talk, I will present a recent approach that organizes IBP reduction according to the infrared singularity structure encoded in the Landau equations. More precisely, I will show how syzygy solutions describing unitarity-compatible IBP relations are...