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Mathematical Structures in Scattering Amplitudes

Objective

Among the most important mathematical quantities of interest in high-energy particle physics are the so-called scattering amplitudes, which allow us to make predictions for physical observables. Despite their importance, performing explicit computations of scattering amplitudes is still one of the bottlenecks of high-energy physics, mostly due to the complexity of the integrals involved and a lack of understanding of the underlying mathematics.

Over the last couple of years, a deep connection between scattering amplitudes and certain branches of modern mathematics has slowly started to emerge. The goal of MathAm is investigate in detail the relationship between scattering amplitudes, number theory and algebraic geometry, with the final aim of developing novel computational techniques for scattering amplitudes that are beyond reach of conventional state-of-the-art technology.

The ultimate goal of MathAm is threefold: By revealing unexpected connections between seemingly disconnected areas of mathematics and physics, MathAm will
1. shed new light on the mathematical underpinnings of the fundamental laws of Nature in general.
2. play a decisive role in testing recent conjectures about the all-loop structure of certain special classes of gauge 3. theories by confronting them to the explicit results for scattering amplitudes,
3. set a new standard for making predictions for collider experiments like the LHC by performing computations that are beyond reach of current technology.

To sum up, MathAm has a unique multi-disciplinary character and, by applying novel technology from modern mathematics, its results will have impact in various seemingly disconnected disciplines, ranging from the frontiers of research in pure mathematics over formal aspects of Quantum Field Theory all the way to making the most precise theoretical predictions for the LHC experiments.

Fields of science (EuroSciVoc)

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Programme(s)

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Topic(s)

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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.

ERC-STG - Starting Grant

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2014-STG

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Host institution

ORGANISATION EUROPEENNE POUR LA RECHERCHE NUCLEAIRE
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 943 415,00
Address
ESPLANADE DES PARTICULES 1 PARCELLE 11482 DE MEYRIN BATIMENT CADASTRAL 1046
1211 GENEVE 23
Switzerland

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Region
Schweiz/Suisse/Svizzera Région lémanique Genève
Activity type
Research Organisations
Links
Total cost

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.

€ 943 415,00

Beneficiaries (2)

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