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Report

Teaser, summary, work performed and final results

Periodic Reporting for period 1 - AMPLITUDES (Novel structures in scattering amplitudes)

Teaser

Summary

This project focuses on developing quantum field theory methods and applying them to the phenomenology of elementary particles. At the Large Hadron Collider (LHC) our current best theoretical understanding of particle physics is being tested against experiment by measuring e.g. properties of the recently discovered Higgs boson. With run two of the LHC, currently underway, the experimental accuracy will further increase. Theoretical predictions matching the latter are urgently needed. Obtaining these requires extremely difficult calculations of scattering amplitudes and cross sections in quantum field theory, including calculations to correctly describe large contributions due to long-distance physics in the latter. Major obstacles in such computations are the large number of Feynman diagrams that are difficult to handle, even with the help of modern computers, and the computation of Feynman loop integrals. To address these issues, we will develop innovative methods that are inspired by new structures found in supersymmetric field theories. We will extend the scope of the differential equations method for computing Feynman integrals, and apply it to scattering processes that are needed for phenomenology, but too complicated to analyze using current methods.

Work performed

During the first year of the project, work on the project focused on mainly the following areas:
- development of novel methods for the computation of loop integrals (algorithm for a canonical choice of basis for differential equations, novel methods for integration-by-parts relations)
- applications of the above methods to determine the function space for multi-jet scattering amplitudes at the next-to-next-to leading order in perturbation theory
- reserach into the consequences of conformal symmetry for scattering amplitudes
In this period, research results were published in peer-reviewed journal articles, including one publication in the prestigious journal Physical Review Letters. Team members presented the research results at various international conferences.

Final results

Our results will help measure fundamental parameters of Nature, such as, for example, couplings of the Higgs boson, with unprecedented precision. Moreover, by accurately predicting backgrounds from known physics, our results will also be invaluable for searches of new particles.