Project description
Advanced mathematical tools for precision particle physics predictions
Experiments in particle physics aim to elucidate the fundamental laws of nature, achieving a level of precision that necessitates equally precise theoretical predictions for accurate data interpretation. A key issue is the calculation of complex mathematical constructs called Feynman integrals, which arise in quantum field theory and become extremely difficult to evaluate when multiple particle masses are present. Current computational methodologies struggle to achieve sufficient accuracy, creating a gap between theory and experiment. With the support of the Marie Skłodowska-Curie Actions programme, the FI4PHENO project develops automated mathematical tools that exploit hidden geometric structures within Feynman integrals to enable efficient and precise calculations. These tools will help advance the precision of particle physics.
Objective
Providing precision predictions for leptonic processes has become an urgent challenge in particle physics. Low-energy experiments and future colliders such as the FCC-ee demand corrections at next-to-next-to-leading and higher orders in Quantum Electrodynamics and Electroweak Theory, where multi-loop Feynman integrals play a central role. The presence of several mass scales makes these integrals exceptionally difficult, yet exact mass dependence is required to regulate collinear singularities and to achieve the accuracy needed to test the Standard Model at the percent level. Existing approaches, whether purely numerical or analytic, face severe limitations for such multi-scale integrals, creating a critical gap between theoretical methods and experimental needs.
This project extends a recently developed framework to close this gap by exploiting the hidden geometric structure of Feynman integrals. I will implement automated tools that solve the differential equations governing the integrals, enabling efficient multivariate series expansions. These developments will then be applied to multi-loop integrals with full mass dependence, opening the way to precision predictions for processes central to current and future experiments.
The project produces tools to address integrals currently intractable with numerical methods, applying them to processes of direct phenomenological relevance. The resulting computations will feed into existing prediction frameworks, ensuring that formal advances translate into practical improvements for precision tools. By merging progress in Feynman integral theory with collider phenomenology, the project demonstrates the power of interdisciplinary approaches to accelerate theoretical advances and meet current experimental demands.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2025-PF
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8006 Zurich
Switzerland
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.