TY  - EJOUR
AU  - Harris, Sebastian
AU  - Kaviraj, Apratim
AU  - Mann, Jeremy A.
AU  - Quintavalle, Lorenzo
AU  - Schomerus, Volker
TI  - Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions
IS  - DESY-24-012
M1  - PUBDB-2024-00294
M1  - DESY-24-012
M1  - arXiv:2401.10986
PY  - 2024
N1  - 83 pages, 6 figures
AB  - 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.
KW  - operator, scalar (INSPIRE)
KW  - n-point function, 6 (INSPIRE)
KW  - anomalous dimension (INSPIRE)
KW  - bootstrap (INSPIRE)
KW  - spin (INSPIRE)
KW  - crossing (INSPIRE)
KW  - epsilon expansion (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2024-00294
UR  - https://bib-pubdb1.desy.de/record/601585
ER  -