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@ARTICLE{Harris:601585,
author = {Harris, Sebastian and Kaviraj, Apratim and Mann, Jeremy A.
and Quintavalle, Lorenzo and Schomerus, Volker},
title = {{C}omb {C}hannel {L}ightcone {B}ootstrap {II}:
{T}riple-{T}wist {A}nomalous {D}imensions},
reportid = {PUBDB-2024-00294, DESY-24-012. arXiv:2401.10986},
year = {2024},
note = {83 pages, 6 figures},
abstract = {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
$\phi^3$ and $\phi^4$ 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 $\phi^3$ and $\phi^4$ theory to first and second
order in epsilon, respectively.},
keywords = {operator, scalar (INSPIRE) / n-point function, 6 (INSPIRE)
/ anomalous dimension (INSPIRE) / bootstrap (INSPIRE) / spin
(INSPIRE) / crossing (INSPIRE) / epsilon expansion
(INSPIRE)},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / EXACTC
- Solving gauge theories in 4D: Exact correlation functions
from integrability (865075) / DFG project 390833306 - EXC
2121: Quantum Universe (390833306)},
pid = {G:(DE-HGF)POF4-611 / G:(EU-Grant)865075 /
G:(GEPRIS)390833306},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2401.10986},
howpublished = {arXiv:2401.10986},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2401.10986;\%\%$},
doi = {10.3204/PUBDB-2024-00294},
url = {https://bib-pubdb1.desy.de/record/601585},
}