Perturbative QFT calculations can pose considerable computational challenges at higher orders and higher multiplicities. At the same time, the inherently quantum-mechanical nature of these calculations makes them promising candidates to exploit the qualitatively new computational capabilities of emerging quantum computing hardware. In this talk I will present recent advances in quantum...
In recent years, it has been observed that period integrals of Calabi-Yau manifolds, which originate from the compactification of string theory, appear in the classical scattering of black holes. These mathematical structures were observed for the first time at the fifth post-Minkowskian (5PM) order. In my talk, I will provide a brief introduction to these objects, particularly from a...
I present calculations of the cusp anomalous dimension with heavy-quark lines at four loops in QCD. I combine partial exact and conjectured analytical expressions with approximate terms that are based on the asymptotic behavior of the cusp anomalous dimension at small and large heavy-quark speeds to produce the newest estimate. Detailed comparisons are made with previous approximate results...
Recent studies in the Standard Model Effective Field Theory (SMEFT) highlight the importance of consistently retaining terms of order O(1/$\Lambda^4$) in theoretical predictions. In this presentation, we analyze SMEFT at O(1/$\Lambda^4$), including 1-loop renormalization group evolution (RGE) effects arising from the scale dependence of Wilson coefficients, with explicit incorporation of...
The Color Glass Condensate (CGC) describes QCD at very high energies, where gluons inside hadrons form a dense state that can be treated as a strong classical color field. In this regime, loop calculations differ significantly from the familiar perturbative expansion around the vacuum: quantum fluctuations propagate through a background field, Wilson lines become the relevant degrees of...
Theoretical predictions in hadron physics are often limited by non-perturbative uncertainties in QCD. Nevertheless, several phenomenologically important processes require improved theoretical control. Effective field theories, such as Soft-Collinear Effective Theory (SCET) and Heavy Quark Effective Theory (HQET), provide powerful tools to overcome these limitations by exploiting...
In this talk, I will present the results of our recent paper arXiv:2512.13794 for a complete classification of the Feynman-integral geometries at two-loop order in four-dimensional Quantum Field Theory with standard quadratic propagators. Concretely, we consider a finite basis of integrals in the ’t Hooft–Veltman scheme, i.e. with D-dimensional loop momenta and four-dimensional external...
I will present recent progress in extending the tropical integration framework originally proposed by Borinsky to Feynman integrals with numerators. This generalisation is essential for applications in gauge theories and significantly broadens the scope of tropical Monte Carlo methods to physically relevant observables in Quantum Chromodynamics (QCD) and N=4 super Yang–Mills theory (SYM).
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