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

oleh: Lance J. Dixon

Format: Article
Diterbitkan: SpringerOpen 2018-01-01

Deskripsi

Abstract 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 $$ \mathcal{N} $$ = 4 super-Yang-Mills theory from recent QCD results, obtaining G^04=−300ζ7−256ζ2ζ5−384ζ3ζ4 $$ {\widehat{\mathcal{G}}}_0^{(4)}=-300{\zeta}_7-256{\zeta}_2{\zeta}_5-384{\zeta}_3{\zeta}_4 $$. 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.