CORDIS
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Analytic Loop Amplitudes from Numerics and Ansatz

Project information

Grant agreement ID: 896690

Status

Grant agreement signed

  • Start date

    1 April 2021

  • End date

    31 March 2023

Funded under:

H2020-EU.1.3.2.

  • Overall budget:

    € 191 149,44

  • EU contribution

    € 191 149,44

Coordinated by:

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Switzerland

Objective

The Standard Model of Particle Physics is impressively consistent with the experimental measurements at the Large Hadron Collider at CERN, Geneva. In the coming years, with increased experimental statistics, precision will rise even further, allowing a unique opportunity to uncover new physics. A necessary component of this pursuit is a set of theoretical predictions made at the per cent level for a broad range of observables. In the past decade, previously unthinkable availability of precision predictions incorporating the leading quantum corrections has been made possible by technological leaps. Nevertheless, to match the discovery potential of the LHC in the near future, further theory advances will be needed.

In my recent work, I combined geometrical insights with exact numerical techniques, to perform world-first computations of the analytic form of a plethora of five-point, two-loop scattering amplitudes in both phenomenologically relevant and formally interesting theories. In this project, I will apply this technology to a range of QCD processes, culminating in new results with immediate relevance for next-to-next-to-leading order corrections at the LHC and improved fundamental understandings of scattering amplitudes. First, I will systematically apply the approach to the computation of non-planar five-parton amplitudes in QCD. Second, I will calculate the non-planar master integrals relevant for all two-loop five-point processes with one massive leg, for example the production of a Higgs boson with two jets. Then, I will break current complexity thresholds by computing the phenomenologically relevant scattering amplitudes for the production of a W, Z, or Higgs boson, each with two associated jets.

To achieve these lofty goals, I will draw on insights into the mathematical and physical structures underlying scattering amplitudes and employ modern tools such as finite-field arithmetic, analyticity-inspired techniques and computational algebraic geometry.

Coordinator

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

€ 191 149,44

Project information

Grant agreement ID: 896690

Status

Grant agreement signed

  • Start date

    1 April 2021

  • End date

    31 March 2023

Funded under:

H2020-EU.1.3.2.

  • Overall budget:

    € 191 149,44

  • EU contribution

    € 191 149,44

Coordinated by:

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Switzerland