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Feynman Graph Expansions for high Precision

Project description

Improving the accuracy of partonic cross sections

The Standard Model of particle physics, developed in the early 1970s and progressively refined, describes the particles that make up the universe and their interactions. It has precisely predicted a plethora of phenomena. It also has several acknowledged gaps, inspiring vibrant theoretical and experimental work in search of physics beyond the Standard Model. CERNs Large Hadron Collider has entered its high-precision phase. Improved theoretical calculations are required to improve predictions, pointing scientists in the right direction when conducting experiments. The ERC-funded FGEHP project will contribute to this effort, focusing on improving the accuracy of partonic cross sections which describe the scattering of the proton’s constituent quarks and gluons in perturbative quantum chromo dynamics.

Objective

To an astonishing degree the laws of physics are described by the Standard Model of particle physics. Having discovered its final miTo an astonishing degree the laws of physics are described by the Standard Model of particle physics. Having discovered its final missing piece, the Higgs boson, CERNs Large Hadron Collider has now entered its high-precision phase challenging not only the SM but also our abilities to draw sufficiently precise predictions from it. A formidable challenge will be to bring the accuracy of theoretical calculations to the percent level and, if possible, beyond. There are various bottlenecks associated to the different ingredients entering these predictions. An enormous challenge will be to improve the accuracy of partonic cross sections, which describe the scattering of the proton's constituent quarks and gluons, in perturbative quantum chromo dynamics. To reach the required precision we already now desire next-to-next-to-leading order (NNLO) predictions for 2-to-3 processes, next-to-NNLO (N3LO) predictions for 2-to-2 processes and even N4LO predictions for 2-to-1 processes. At the same time further improvements to N4LO will be required for the splitting functions which are needed for a systematic treatment of parton density functions. With the high luminosity phase of the LHC commencing in 2029 we can expect, however, that predictions of even more complicated final states will be required. It is clear that our current methods are not be up to the task. This project aspires to fill this gap through a new methodology based on very recent advances I made in Feynman graph Theory and its applications to asymptotic expansions and infrared subtraction schemes. This methodology will allow for the efficient automation of expansions around kinematic limits, leading to new pathways to obtain reliable and systematically improvable approximations for scattering amplitudes and the cross sections to which they contribute, which are currently out of reach.

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Call for proposal

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(opens in new window) ERC-2024-COG

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Host institution

THE UNIVERSITY OF EDINBURGH
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.

€ 1 999 448,00
Address
OLD COLLEGE, SOUTH BRIDGE
EH8 9YL Edinburgh
United Kingdom

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Region
Scotland Eastern Scotland Edinburgh
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.

€ 1 999 448,00

Beneficiaries (1)

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