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Title: The principle of maximal transcendentality and the four-loop collinear anomalous dimension

Abstract

Here, we use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar N = 4 super-Yang-Mills theory from recent QCD results, obtaining $$\hat{g}$$$(4)\atop{0}$$ =$-$300ζ 7$-$256ζ 2ζ 5$-$384ζ 3ζ 4. This value agrees with a previous numerical result to within 0.2%. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.

Authors:
ORCiD logo [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE; Munich Institute for Astro-and Particle Physics (MIAPP)
OSTI Identifier:
1419976
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Supersymmetric Gauge Theory; 1/N Expansion; Theoretical Physics

Citation Formats

Dixon, Lance J. The principle of maximal transcendentality and the four-loop collinear anomalous dimension. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)075.
Dixon, Lance J. The principle of maximal transcendentality and the four-loop collinear anomalous dimension. United States. doi:10.1007/jhep01(2018)075.
Dixon, Lance J. Tue . "The principle of maximal transcendentality and the four-loop collinear anomalous dimension". United States. doi:10.1007/jhep01(2018)075. https://www.osti.gov/servlets/purl/1419976.
@article{osti_1419976,
title = {The principle of maximal transcendentality and the four-loop collinear anomalous dimension},
author = {Dixon, Lance J.},
abstractNote = {Here, we use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar N = 4 super-Yang-Mills theory from recent QCD results, obtaining $\hat{g}$$(4)\atop{0}$ =$-$300ζ7$-$256ζ2ζ5$-$384ζ3ζ4. This value agrees with a previous numerical result to within 0.2%. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.},
doi = {10.1007/jhep01(2018)075},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {Tue Jan 16 00:00:00 EST 2018},
month = {Tue Jan 16 00:00:00 EST 2018}
}

Journal Article:
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