%0 Journal Article
%A Harris, Sebastian
%A Kaviraj, Apratim
%A Mann, Jeremy A.
%A Quintavalle, Lorenzo
%A Schomerus, Volker
%T Comb channel lightcone bootstrap: triple-twist anomalous dimensions
%J Journal of high energy physics
%V 2024
%N 8
%@ 1029-8479
%C [Trieste]
%I SISSA
%M PUBDB-2024-07971
%M arXiv:2401.10986
%M DESY-24-012
%P 122
%D 2024
%Z 83 pages, 6 figures; v2: Published version. Added more details in some text and equations. Added subsection 7.2.3
%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: high (INSPIRE)
%K crossing (INSPIRE)
%K epsilon expansion (INSPIRE)
%K phi**n model: 3 (INSPIRE)
%K phi**n model: 4 (INSPIRE)
%K operator: twist (INSPIRE)
%K Scale and Conformal Symmetries (autogen)
%K Renormalization Group (autogen)
%K Space-Time Symmetries (autogen)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:001350146800004
%R 10.1007/JHEP08(2024)122
%U https://bib-pubdb1.desy.de/record/619866