The principle of maximal transcendentality and the fourloop 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 fourloop collinear anomalous dimension in planar N = 4 superYangMills theory from recent QCD results, obtaining $$\hat{g}$$$(4)\atop{0}$$ =$$300ζ _{7}$$256ζ _{2}ζ _{5}$$384ζ _{3}ζ _{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:

 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 Astroand Particle Physics (MIAPP)
 OSTI Identifier:
 1419976
 Grant/Contract Number:
 AC0276SF00515
 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: 2018; Journal Issue: 1; Journal ID: ISSN 10298479
 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 fourloop 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 fourloop collinear anomalous dimension. United States. doi:10.1007/jhep01(2018)075.
Dixon, Lance J. Tue .
"The principle of maximal transcendentality and the fourloop 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 fourloop 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 fourloop collinear anomalous dimension in planar N = 4 superYangMills 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 = {2018},
month = {1}
}
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