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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.

Field of science

  • /natural sciences/physical sciences/theoretical physics/particles/particle accelerator
  • /natural sciences/physical sciences/quantum physics/quantum field theory
  • /natural sciences/physical sciences/theoretical physics
  • /natural sciences/mathematics/pure mathematics/arithmetic
  • /natural sciences/mathematics/pure mathematics/geometry
  • /social sciences/law
  • /natural sciences/mathematics
  • /natural sciences/mathematics/pure mathematics/algebra/algebraic geometry

Call for proposal

ERC-2014-STG
See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH
Address
Esplanade Des Particules 1 Parcelle 11482 De Meyrin Batiment Cadastral 1046
1211 Geneva 23
Switzerland
Activity type
Research Organisations
EU contribution
€ 943 415

Beneficiaries (2)

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH
Switzerland
EU contribution
€ 943 415
Address
Esplanade Des Particules 1 Parcelle 11482 De Meyrin Batiment Cadastral 1046
1211 Geneva 23
Activity type
Research Organisations
UNIVERSITE CATHOLIQUE DE LOUVAIN
Belgium
EU contribution
€ 421 645
Address
Place De L Universite 1
1348 Louvain La Neuve
Activity type
Higher or Secondary Education Establishments