%0 Electronic Article
%A Harris, Sebastian
%A Kaviraj, Apratim
%A Mann, Jeremy A.
%A Quintavalle, Lorenzo
%A Schomerus, Volker
%T Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions
%N DESY-24-012
%M PUBDB-2024-00294
%M DESY-24-012
%M arXiv:2401.10986
%D 2024
%Z 83 pages, 6 figures
%X We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist primaries are highly degenerate so that their anomalous dimension is encoded in a matrix. At large spin, the degeneracy becomes infinite and the matrix becomes an integral operator. We compute this integral operator by studying a particular non-planar crossing equation for six-point functions of scalar operators in a lightcone limit. The bootstrap analysis is based on new formulas for six-point lightcone blocks in the comb-channel. For a consistency check of our results, we compare them to perturbative computations in the epsilon expansion of ϕ<sup>3</sup> and ϕ<sup>4</sup> theory. In both cases, we find perfect agreement between perturbative results and bootstrap predictions. As a byproduct of our studies, we extend earlier work of Derkachov and Manashov to compute the anomalous dimension matrices of all triple-twist primaries in scalar ϕ<sup>3</sup> and ϕ<sup>4</sup> theory to first and second order in epsilon, respectively.
%K operator, scalar (INSPIRE)
%K n-point function, 6 (INSPIRE)
%K anomalous dimension (INSPIRE)
%K bootstrap (INSPIRE)
%K spin (INSPIRE)
%K crossing (INSPIRE)
%K epsilon expansion (INSPIRE)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2024-00294
%U https://bib-pubdb1.desy.de/record/601585