Renormalisation of heavy-light light ray operators

Details Renormalisation of heavy-light light ray operators Renormalisation of heavy-light light ray operators

2011-05-23

arxiv.org/abs/1105.4569v3

JHEP10(2011)069

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 5 figures; v2: changed some wording, added a few references and one appendix concerning some subtleties related to g

Scientific paper

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. This general feature can be used to fix the $2\to2$-renormalisation kernels up to a constant. Some examples for applications of our results are given.

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