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Colour and Kinematics of Quarks and Gluons inside Loops

Total Cost €


EC-Contrib. €






Project "InsideLoops" data sheet

The following table provides information about the project.


Organization address
address: Raemistrasse 101
postcode: 8092

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Switzerland [CH]
 Project website
 Total cost 175˙419 €
 EC max contribution 175˙419 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2017
 Duration (year-month-day) from 2017-10-01   to  2019-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project 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.


year authors and title journal last update
List of publications.
2019 Alfredo Guevara, Alexander Ochirov, Justin Vines
Black-hole scattering with general spin directions from minimal-coupling amplitudes
published pages: 104024, ISSN: 2470-0010, DOI: 10.1103/physrevd.100.104024
Physical Review D 100/10 2020-03-23
2019 Gregor Kälin, Gustav Mogull, Alexander Ochirov, Bram Verbeek
Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
published pages: , ISSN: , DOI:
arXiv preprint 1911.10218 [hep-th] 2020-03-23
2018 Alexander Ochirov
Helicity amplitudes for QCD with massive quarks
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep04(2018)089
Journal of High Energy Physics 2018/4 2020-03-23
2019 Gregor Kälin, Gustav Mogull, Alexander Ochirov
Two-loop N $$ mathcal{N} $$ = 2 SQCD amplitudes with external matter from iterated cuts
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep07(2019)120
Journal of High Energy Physics 2019/7 2020-03-23
2019 Alfredo Guevar, Alexander Ochirov, Justin Vines
Scattering of spinning black holes from exponentiated soft factors
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep09(2019)056
Journal of High Energy Physics 2019/9 2020-03-23
2019 Alexander Ochirov, Ben Page
Multi-quark colour decompositions from unitarity
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep10(2019)058
Journal of High Energy Physics 2019/10 2020-03-23
2019 Henrik Johansson, Alexander Ochirov
Double copy for massive quantum particles with spin
published pages: , ISSN: 1029-8479, DOI: 10.1007/jhep09(2019)040
Journal of High Energy Physics 2019/9 2020-03-23

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