TY  - JOUR
AU  - Harris, Sebastian
AU  - Kaviraj, Apratim
AU  - Mann, Jeremy A.
AU  - Quintavalle, Lorenzo
AU  - Schomerus, Volker
TI  - Comb channel lightcone bootstrap: triple-twist anomalous dimensions
JO  - Journal of high energy physics
VL  - 2024
IS  - 8
SN  - 1029-8479
CY  - [Trieste]
PB  - SISSA
M1  - PUBDB-2024-07971
M1  - arXiv:2401.10986
M1  - DESY-24-012
SP  - 122
PY  - 2024
N1  - 83 pages, 6 figures; v2: Published version. Added more details in some text and equations. Added subsection 7.2.3
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: high (INSPIRE)
KW  - crossing (INSPIRE)
KW  - epsilon expansion (INSPIRE)
KW  - phi**n model: 3 (INSPIRE)
KW  - phi**n model: 4 (INSPIRE)
KW  - operator: twist (INSPIRE)
KW  - Scale and Conformal Symmetries (autogen)
KW  - Renormalization Group (autogen)
KW  - Space-Time Symmetries (autogen)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001350146800004
DO  - DOI:10.1007/JHEP08(2024)122
UR  - https://bib-pubdb1.desy.de/record/619866
ER  -