Soft gluon evolution and non-global logarithms

Autor(en)
Rene Angeles Martinez, Matthew De Angelis, Jeffrey R. Forshaw, Simon Plätzer, Michael H. Seymour
Abstrakt

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(en)
Teilchenphysik
Externe Organisation(en)
Polish Academy of Sciences (PAS), University of Manchester, European Organization for Nuclear Research (CERN)
Journal
Journal of High Energy Physics
Band
2018
Anzahl der Seiten
35
ISSN
1029-8479
Publikationsdatum
05-2018
Peer-reviewed
Ja
ÖFOS 2012
103012 Hochenergiephysik
Schlagwörter
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics
Link zum Portal
https://ucris.univie.ac.at/portal/de/publications/soft-gluon-evolution-and-nonglobal-logarithms(e4570bf1-6177-4d4a-8e13-7685c3b9ca7f).html