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Scattering Ampltidues for Multi-hadrons Processes in Lattice-QCD

Project description

Using lattice quantum chromodynamics to describe complex particle interactions

Understanding how particles interact at a fundamental level is key to exploring physics beyond the Standard Model. Scattering amplitudes that describe these interactions are crucial for comparing theory with experimental data. However, current methods struggle to manage processes, resulting in multiple hadrons. With the support of the Marie Skłodowska-Curie Actions programme, the SAMPL-QCD project plans to develop a new method to calculate scattering amplitudes for processes involving multiple hadrons (such as J to ππ or J to πππ) using lattice quantum chromodynamics (QCD). Unlike other approaches, this method uses a robust mathematical framework that connects lattice QCD data to scattering amplitudes through an inverse problem. This breakthrough could lead to more precise predictions for multi-hadron processes.

Objective

The goal of SAMPL-QCD (Scattering Amplitudes for Multi-hadrons Processes in Lattice-QCD) is to compute, with a novel method, exclusive scattering amplitudes involving multiple hadrons in the final state, such as J to ππ or J to πππ, with J=B,D,e+e-,...from Euclidean correlation functions computed in lattice QCD. The motivation is to provide new theoretical predictions to compare with experimental data that already exists, and that will keep being produced, with the ultimate goal of finding evidence for physics beyond the Standard Model. The state-of-the-art for theory predictions of multi-hadron processes is the K→ ππ study from the RBC/UKQCD collaboration. The methodology employed there is based on the Lellouch Lüscher formalism, which appears hard to generalise to processes where many inelastic thresholds can open simultaneously. A different strategy that does not suffer the same complications is now possible, because of two factors: on one side, a mathematically-robust relation between Euclidean correlators (available from lattice QCD) and scattering amplitudes was given by A. Patella & N. Tantalo in terms of an inverse problem. On the technical side, progress made by my collaborators and I in the last few years in solving the inverse problem with reliable estimates of its systematics, paves the way for first QCD calculations of this kind, potentially opening the way to a new generation of lattice calculations. In this project, we intend to explore the level of precision that can be reached, within this formalism, for scattering amplitudes, given the current state-of-the-art lattice simulations.

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Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2024-PF-01

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Coordinator

ORGANISATION EUROPEENNE POUR LA RECHERCHE NUCLEAIRE
Net EU contribution
€ 292 118,88
Address
ESPLANADE DES PARTICULES 1 PARCELLE 11482 DE MEYRIN BATIMENT CADASTRAL 1046
1211 GENEVE 23
Switzerland
Region
Schweiz/Suisse/Svizzera Région lémanique Genève
Activity type
Research Organisations
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Total cost
No data