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Title: Interplay of the CGC and TMD frameworks to all orders in kinematic twist

Abstract

A framework for an improved TMD (iTMD) factorization scheme at small x, involving off-shell perturbative subamplitudes, was recently developed as an interpolation between the TMD k t $$\ll$$ Q regime and the BFKL k t~ Q regime. Here, we observe the relation between CGC and iTMD amplitudes. We first show how the dipolesize expansion of CGC amplitudes resembles the twist expansion of a TMD amplitude. Then, by isolating kinematic twists, we prove that iTMD amplitudes are obtained with infinite kinematic twist accuracy by simply getting rid of all genuine twist contributions in a CGC amplitude. Lastly, we compare the amplitudes obtained via a proper kinematic twist expansion to those obtained via a more standard dilute expansion to show the relation between the iTMD framework and the dilute low x framework. This allows to reinterpret the dilute expansion as a Wandzura-Wilczek approximation in the large k t regime

Authors:
 [1];  [2]; ORCiD logo [3]
  1. National Centre for Nuclear Research, Warsaw (Poland)
  2. Brookhaven National Laboratory (BNL), Upton, NY (United States); Polish Academy of Sciences (PAS), Krakow (Poland)
  3. Polish Academy of Sciences (PAS), Krakow (Poland)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1530525
Report Number(s):
BNL-211821-2019-JAAM
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Heavy Ion Phenomenology

Citation Formats

Altinoluk, Tolga, Boussarie, Renaud, and Kotko, Piotr. Interplay of the CGC and TMD frameworks to all orders in kinematic twist. United States: N. p., 2019. Web. doi:10.1007/JHEP05(2019)156.
Altinoluk, Tolga, Boussarie, Renaud, & Kotko, Piotr. Interplay of the CGC and TMD frameworks to all orders in kinematic twist. United States. doi:10.1007/JHEP05(2019)156.
Altinoluk, Tolga, Boussarie, Renaud, and Kotko, Piotr. Fri . "Interplay of the CGC and TMD frameworks to all orders in kinematic twist". United States. doi:10.1007/JHEP05(2019)156. https://www.osti.gov/servlets/purl/1530525.
@article{osti_1530525,
title = {Interplay of the CGC and TMD frameworks to all orders in kinematic twist},
author = {Altinoluk, Tolga and Boussarie, Renaud and Kotko, Piotr},
abstractNote = {A framework for an improved TMD (iTMD) factorization scheme at small x, involving off-shell perturbative subamplitudes, was recently developed as an interpolation between the TMD kt $\ll$ Q regime and the BFKL kt~ Q regime. Here, we observe the relation between CGC and iTMD amplitudes. We first show how the dipolesize expansion of CGC amplitudes resembles the twist expansion of a TMD amplitude. Then, by isolating kinematic twists, we prove that iTMD amplitudes are obtained with infinite kinematic twist accuracy by simply getting rid of all genuine twist contributions in a CGC amplitude. Lastly, we compare the amplitudes obtained via a proper kinematic twist expansion to those obtained via a more standard dilute expansion to show the relation between the iTMD framework and the dilute low x framework. This allows to reinterpret the dilute expansion as a Wandzura-Wilczek approximation in the large kt regime},
doi = {10.1007/JHEP05(2019)156},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2019,
place = {United States},
year = {2019},
month = {5}
}

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