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 mathcal{N} = 4 super-Yang-Mills theory from recent QCD results, obtaining {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.
Highlights
In momentum space (x-space) these functions are typically iterated integrals, and the weight is the number of iterations; in Mellin-moment space, it corresponds to the number of sums in the nested sums [45]
One might think that the collinear anomalous dimension in planar N = 4 SYM could be read off from the leading transcendental terms in the large-Nc quark collinear anomalous dimension [39]
We use the virtual anomalous dimension in planar N = 4 SYM, which has been computed to all orders using integrability [62, 63, 64], to convert back to the non-eikonal collinear anomalous dimension
Summary
The virtual anomalous dimension in largeNc QCD was computed recently at four loops [40], and we can make use of its leading transcendental part to do the conversion. We use the virtual anomalous dimension in planar N = 4 SYM, which has been computed to all orders using integrability [62, 63, 64], to convert back to the non-eikonal collinear anomalous dimension. We give a very brief review of the infrared structure of scattering amplitudes, form factors and Wilson loops in planar N = 4 SYM.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
