High Precision for Hard Processes (HP2 2026)

Session

Track 1 - Analytic integrals

T1

Oct 6, 2026, 11:00 AM

NTI Hörsaal, building 30.10 (KIT)

Conveners

Track 1 - Analytic integrals: Parallel Session II

• Sven Moch

3. Feynman Integrals from First Principles: Positivity, Analyticity, and Padé Approximants

Johannes Henn (Max Planck Institute for Physics)

10/6/26, 11:00 AM

1

Precise predictions for cross-sections at present and future particle colliders require reliable methods for evaluating multi-loop Feynman integrals, which are often beyond the reach of direct analytic techniques. In this talk, I will present new numerical approaches that exploit general structural properties of quantum field theory—such as positivity and analyticity—to compute Feynman...

15. Bootstrapping Six-Gluon QCD Amplitudes

Qinglin Yang (Max Planck Institute for Physics, Garching, Germany)

10/6/26, 11:25 AM

1

We present a bootstrap construction of planar two-loop six-gluon scattering amplitudes, focusing on the ``most complicated terms'' in the sense of Lipatov. From an analysis of on-shell diagrams, we identify a complete and conformally invariant set of leading singularities. Combining these results with recent advances in understanding the relevant function space and with insights from...

19. From Leading Singularities to Canonical Bases

Christoph Nega (Max Planck Institut für Gravitationsphysik)

10/6/26, 11:50 AM

1

The relationship between unit leading singularities and canonical differential equations has played a central role in modern multi-loop calculations. While this connection is well understood for polylogarithmic integrals, its extension to more general classes of functions has remained unclear.

In this talk, I will present a generalized notion of leading singularities that naturally extends...

76. Feynman Integrals Meet Second-Order Partial Differential Equations

Hantian Zhang (CERN)

10/6/26, 12:15 PM

1

We propose a second-order partial differential equation method to solve multi-loop Feynman integrals as an equilibrium problem. As a proof-of-concept demonstration, we perform a Galerkin discretization of the corresponding variational form and employ the finite element method to compute two-loop four-point Feynman integrals. This method can solve the integral over a broad region of...