Soft gluon evolution and non-global logarithms
- Author(s)
- Rene Angeles Martinez, Matthew De Angelis, Jeffrey R. Forshaw, Simon Plätzer, Michael H. Seymour
- Abstract
We consider soft-gluon evolution at the amplitude level. Our evolution algorithm applies to generic hard-scattering processes involving any number of coloured partons and we present a reformulation of the algorithm in such a way as to make the cancellation of infrared divergences explicit. We also emphasise the special role played by a Lorentz-invariant evolution variable, which coincides with the transverse momentum of the latest emission in a suitably defined dipole zero-momentum frame. Handling large colour matrices presents the most significant challenge to numerical implementations and we present a means to expand systematically about the leading colour approximation. Specifically, we present a systematic procedure to calculate the resulting colour traces, which is based on the colour flow basis. Identifying the leading contribution leads us to re-derive the Banfi-Marchesini-Smye equation. However, our formalism is more general and can systematically perform resummation of contributions enhanced by the t’Hooft coupling α
sN ∼ 1, along with successive perturbations that are parametrically suppressed by powers of 1/N. We also discuss how our approach relates to earlier work.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Polish Academy of Sciences (PAS), University of Manchester, European Organization for Nuclear Research (CERN)
- Journal
- Journal of High Energy Physics
- Volume
- 2018
- No. of pages
- 35
- ISSN
- 1029-8479
- Publication date
- 05-2018
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/soft-gluon-evolution-and-nonglobal-logarithms(e4570bf1-6177-4d4a-8e13-7685c3b9ca7f).html