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Hexagon bootstrap in the double scaling limit
- Source :
- Journal of High Energy Physics, Vol 2021, Iss 9, Pp 1-39 (2021), Journal of high energy physics 09(9), 007 (2021). doi:10.1007/JHEP09(2021)007, Journal of High Energy Physics
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- Journal of high energy physics 09(9), 007 (2021). doi:10.1007/JHEP09(2021)007<br />We study the six-particle amplitude in planar $ \mathcal{N} $ = 4 super Yang-Mills theory in the double scaling (DS) limit, the only nontrivial codimension-one boundary of its positive kinematic region. We construct the relevant function space, which is significantly constrained due to the extended Steinmann relations, up to weight 13 in coproduct form, and up to weight 12 as an explicit polylogarithmic representation. Expanding the latter in the collinear boundary of the DS limit, and using the Pentagon Operator Product Expansion, we compute the non-divergent coefficient of a certain component of the Next-to-Maximally-Helicity-Violating amplitude through weight 12 and eight loops. We also specialize our results to the overlapping origin limit, observing a general pattern for its leading divergences.<br />Published by SISSA, [Trieste]
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
4 [supersymmetry]
Function space
FOS: Physical sciences
collinear
Boundary (topology)
QC770-798
operator product expansion
Computer Science::Digital Libraries
Supersymmetric Gauge Theory
Wilson loop
Nuclear and particle physics. Atomic energy. Radioactivity
ddc:530
Limit (mathematics)
Operator product expansion
bootstrap
Representation (mathematics)
Scattering Amplitudes
Scaling
loop integral
Physics
maximally helicity violating amplitude
scaling
Mathematical analysis
Scaling limit
Amplitude
High Energy Physics - Theory (hep-th)
kinematics
supersymmetry: 4
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2021
- Issue :
- 9
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....b4580f106caa0e0b949a8c1d76858d8f
- Full Text :
- https://doi.org/10.3204/PUBDB-2021-00718