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Colour and Kinematics of Quarks and Gluons inside Loops

Objective

The LHC era of fundamental physics presents a formidable challenge for theorists - the precision of Standard Model predictions should be improved by a factor of two. One of the major bottlenecks is the availability of two-loop scattering amplitudes in quantum chromodynamics (QCD), which is largely limited to 2 -> 2 processes due to the daunting complexity of the perturbative series. The need for amplitudes of higher-multiplicity processes calls for new analytic insights into the intricate structure of gauge theories.

This project centers around one such insight - colour-kinematics duality - and aims to convert it into a powerful ally for future QCD calculations. This will be possible because the duality, recently generalised from the purely gluonic sector to full QCD, contains valuable information about non-Abelian gauge theories. In particular, it relates aspects of QCD calculations that are simpler to aspects, which are thought to be much harder. This input non-trivially constrains the S-matrix and thus can be used to reduce the number of subcalculations needed. To achieve this, we plan to pursue the four following lines of research:
- systematise the relations among generalised unitarity cuts, which follow from tree-level amplitude relations induced by the duality of colour and kinematics;
- simplify the analytic structure of loop integrands via smart loop momentum parametrisation;
- develop tools for tree-level amplitudes in six-dimensional gauge theories, which serve as input for dimensionally-regulated two-loop amplitudes in four dimensions;
- calculate previously inaccessible two-loop amplitudes contributing to NNLO corrections to 2 -> 3 QCD processes at the LHC.

This will improve our understanding of gauge theories and open the way to previously intractable calculations of higher-loop scattering amplitudes, such as the next-to-next-to-leading-order amplitude for 2 -> 3 parton scattering, thus making a major impact on the field of perturbative QCD.

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Programme(s)

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Topic(s)

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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MSCA-IF-EF-ST - Standard EF

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2016

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Coordinator

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
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.

€ 175 419,60
Address
Raemistrasse 101
8092 Zuerich
Switzerland

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Region
Schweiz/Suisse/Svizzera Zürich Zürich
Activity type
Higher or Secondary Education Establishments
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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.

€ 175 419,60
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