Colour-Kinematics Duality for One-Loop Rational Amplitudes

Understand

Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity.

• This structure has been verified at tree level in various ways, but similar progress has been lacking at loop level, where the power of the duality would be most significant.
• Here we explore colour-kinematics duality at one loop using the self-dual sector as a starting point.
• The duality is shown to exist in pure Yang-Mills theory for two infinite classes of amplitudes: amplitudes with any number of particles either all of the same helicity or with one particle helicity opposite the rest.