English

Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties

High Energy Physics - Theory 2016-11-23 v1 High Energy Physics - Phenomenology

Abstract

The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the recently computed correction to the BFKL and double-logarithmic equation is discussed.

Keywords

Cite

@article{arxiv.1607.06047,
  title  = {Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties},
  author = {Christian Marboe and Vitaly Velizhanin},
  journal= {arXiv preprint arXiv:1607.06047},
  year   = {2016}
}

Comments

17 pages, 10 ancillary files