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Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order

<!--HTML-->The Colour Glass Condensate effective field theory is a useful framework for studying heavy ion collisions at ultrarelativistic energies, such as those reached at the Large Hadron Collider at CERN. In this framework, we study the rapidity evolution of Wilson lines that appear explic...

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Detalles Bibliográficos
Autor principal: Ramnath, Andrecia
Lenguaje:eng
Publicado: 2020
Materias:
Acceso en línea:http://cds.cern.ch/record/2721393
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author Ramnath, Andrecia
author_facet Ramnath, Andrecia
author_sort Ramnath, Andrecia
collection CERN
description <!--HTML-->The Colour Glass Condensate effective field theory is a useful framework for studying heavy ion collisions at ultrarelativistic energies, such as those reached at the Large Hadron Collider at CERN. In this framework, we study the rapidity evolution of Wilson lines that appear explicitly in cross section expressions. The next-to-leading order BK (Balitsky-Kovchegov) equation for the 2-point Wilson line correlator involves 6-point correlators of Wilson lines. These correlators are typically calculated only in the large-Nc limit. I will present a fully analytic calculation of these correlators in the finite Nc case, using the Gaussian Truncation. We use these results to find the relative importance of finite Nc corrections to the next-to-leading order evolution equation. We show numerically that the finite Nc corrections are negligible, as expected.
id cern-2721393
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2020
record_format invenio
spelling cern-27213932022-11-02T22:22:34Zhttp://cds.cern.ch/record/2721393engRamnath, AndreciaFinite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order10th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear CollisionsConferences<!--HTML-->The Colour Glass Condensate effective field theory is a useful framework for studying heavy ion collisions at ultrarelativistic energies, such as those reached at the Large Hadron Collider at CERN. In this framework, we study the rapidity evolution of Wilson lines that appear explicitly in cross section expressions. The next-to-leading order BK (Balitsky-Kovchegov) equation for the 2-point Wilson line correlator involves 6-point correlators of Wilson lines. These correlators are typically calculated only in the large-Nc limit. I will present a fully analytic calculation of these correlators in the finite Nc case, using the Gaussian Truncation. We use these results to find the relative importance of finite Nc corrections to the next-to-leading order evolution equation. We show numerically that the finite Nc corrections are negligible, as expected.oai:cds.cern.ch:27213932020
spellingShingle Conferences
Ramnath, Andrecia
Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title_full Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title_fullStr Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title_full_unstemmed Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title_short Finite Nc corrections in the Balitsky-Kovchegov equation at next-to-leading order
title_sort finite nc corrections in the balitsky-kovchegov equation at next-to-leading order
topic Conferences
url http://cds.cern.ch/record/2721393
work_keys_str_mv AT ramnathandrecia finitenccorrectionsinthebalitskykovchegovequationatnexttoleadingorder
AT ramnathandrecia 10thinternationalconferenceonhardandelectromagneticprobesofhighenergynuclearcollisions