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Analytic Loop Amplitudes from Numerics and Ansatz

Project description

Multi-loop computations for the LHC

Results from the Large Hadron Collider (LHC) experiments have confirmed the validity of the Standard Model up to unprecedented energy scales. The high-luminosity upgrade of the LHC will probe the Standard Model with even greater precision – the precision of key measurements is expected to reach the percent level, where effects of new physics could be seen. Researchers have recently combined geometrical with exact numerical techniques to perform world-first computations of the analytic form of a plethora of five-point scattering amplitudes at two loops for phenomenological theories. In the EU-funded LoopAnsatz project, researchers will apply these techniques to a range of quantum chromodynamics (QCD) processes. Results in next-to-leading order QCD corrections are expected to advance researchers’ ability to compute particle scattering amplitudes.

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.

Keywords

Coordinator

ORGANISATION EUROPEENNE POUR LA RECHERCHE NUCLEAIRE
Net EU contribution
€ 191 149,44
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
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Total cost
€ 191 149,44