Renormalisation of heavy-light light ray operators

Understand

We calculate the renormalisation of different light ray operators with one light degree of freedom and a static heavy quark.

• Both $2\to2$- and $2\to3$-kernels are considered.
• A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom.
• Additionally we show that conformal symmetry is already broken at the level of the one loop counterterms due to the additional UV-renormalisation of a cusp in the two contributing Wilson-lines.