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Multi-Scale Amplitudes For Collider Physics

Project description

Ushering in a new era of high-precision measurements at the Large Hadron Collider

The large amount of data collected from future experiments in the Large Hadron Collider will enable scientists to study fundamental phenomena at high energies with very high precision. To get the most out of the observational data, theoretical predictions should match experimental data. However, theoretical predictions require computing two-loop scattering amplitudes involving many different particles, a feat as yet unachievable. Funded by the European Research Council, the MultiScaleAmp project aims to overcome the main bottlenecks impeding two-loop scattering amplitude calculations. Researchers will use geometric and mathematical tools to understand the analytical properties underpinning the amplitudes.

Objective

The large amount of data that will be collected by experiments at the Large Hadron Collider in the coming years will lead to an unprecedented increase in the precision of their measurements. To benefit from these precise measurements and improve our understanding of the fundamental laws of physics, we must obtain a broad set of theoretical predictions to corresponding levels of precision. Crucially, these predictions require the computation of multi-particle multi-scale two-loop scattering amplitudes involving massive particles. This poses a formidable challenge that we are currently unable to meet.

In recent years, a new framework for the calculation of amplitudes has begun to emerge. Building on a deep understanding of the physical and mathematical properties of the amplitudes, it uses numerical evaluations to constrain an Ansatz for the analytic form of the amplitude.

Working in this framework, MultiScaleAmp will redefine the state of the art in multi-scale two-loop amplitude calculation by singling out the main bottlenecks in current approaches. In particular, it will make use of geometric and mathematical tools to understand the analytic structures which underpin the amplitudes, and introduce techniques which can handle a number of scales beyond the reach of current approaches. This will lead to a wide set of two-loop amplitude calculations, triggering a new era of theoretical precision.

In summary, MultiScaleAmp will make revolutionary conceptual developments in multi-scale amplitude computations, and usher in a new era of precision at hadron colliders. It will deliver:

1. Novel approaches for the computation of multi-scale Feynman integrals.

2. New techniques for the computation of two-loop amplitudes with many scales.

3. The necessary two-loop amplitudes for the production at hadron colliders of jets in association
with heavy particles such as Higgs bosons, top quarks or vectors bosons.

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-STG

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Host institution

UNIVERSITEIT GENT
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.

€ 1 492 250,00
Address
SINT PIETERSNIEUWSTRAAT 25
9000 GENT
Belgium

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Region
Vlaams Gewest Prov. Oost-Vlaanderen Arr. Gent
Activity type
Higher or Secondary Education Establishments
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.

€ 1 492 250,00

Beneficiaries (2)

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