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

Journal Article · · Journal of High Energy Physics (Online)
ORCiD logo [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
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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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE; Munich Institute for Astro-and Particle Physics (MIAPP)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1419976
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

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Cited By (2)

$\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills text January 2018
Relating amplitude and PDF factorisation through Wilson-line geometries text January 2019

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