6–13 Jul 2022
Bologna, Italy
Europe/Rome timezone

Colour-kinematics duality, double copy, and homotopy algebras

8 Jul 2022, 12:00
15m
Room 7 (Gialla)

Room 7 (Gialla)

Parallel Talk Formal Theory Formal Theory

Speaker

Tommaso Macrelli (ETH Zurich)

Description

While colour-kinematics duality and double copy are a well established paradigm at tree level, their loop level generalisation remained for a long time an unsolved problem. Lifting the on-shell, scattering amplitude-based description to an action-based approach, we show that a theory that exhibits tree level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest colour-kinematics duality.
After a review of Batalin-Vilkovisky formalism and homotopy algebras, we discuss how these structures emerge in quantum field theory and gravity. We focus then on the application of these sophisticated mathematical tools to colour-kinematics duality and double copy, introducing an adequate notion of colour-kinematics factorisation.

In-person participation Yes

Primary authors

Prof. Christian Saemann (Heriot-Watt University, Edinburgh) Hyungrok Kim (Heriot-Watt University, Edinburgh) Prof. Jurčo Branislav (Charles University, Prague) Dr Leron Borsten (Heriot–Watt University, Edinburgh) Tommaso Macrelli (ETH Zurich) Dr Martin Wolf (University of Surrey)

Presentation materials