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

Dixon, Lance J.

doi:10.1007/jhep01(2018)075

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

Journal Article · 15 January 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2018)075 · OSTI ID:1419976

^[1]

SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: Munich Institute for Astro-and Particle Physics (MIAPP); USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1419976

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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