Titel
Soft gluon evolution and non-global logarithms
Autor*in
René Ángeles Martínez
The Henryk Niewodniczanski Institute of Nuclear Physics in Cracow, Polish Academy of Sciences
Autor*in
Matthew De Angelis
Consortium for Fundamental Physics, School of Physics & Astronomy, University of Manchester
Autor*in
Jeffrey R. Forshaw
Consortium for Fundamental Physics, School of Physics & Astronomy, University of Manchester
... show all
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 αsN ∼ 1, along with successive perturbations that are parametrically suppressed by powers of 1/N . We also discuss how our approach relates to earlier work.
Stichwort
Perturbative QCDResummation1/N ExpansionScattering Amplitudes
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1061835
Erschienen in
Titel
Journal of High Energy Physics
Band
2018
Ausgabe
5
Verlag
Springer Science and Business Media LLC
Erscheinungsdatum
2018
Zugänglichkeit
Rechteangabe
© The Author(s) 2018

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