Cutting multiparticle correlators down to size
Name
PhysRevD.101.036019.pdf
Size
4.19 MB
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Adobe PDF
Checksum (MD5)
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Author(s)
Komiske, Patrick T.
Metodiev, Eric Mario
Thaler, Jesse
Date Issued
February 2020
Journal
Physical review D
Publisher
American Physical Society
Citation
Komiske, Patrick T., Eric M. Metodiev, and Jesse Thaler, "Cutting multiparticle correlators down to size." Physical review D 101 (2020): no. 036019 doi http://dx.doi.org/10.1103/PhysRevD.101.036019 ©2020 Author(s)
Version
Final published version
Abstract
Multiparticle correlators are mathematical objects frequently encountered in quantum field theory and collider physics. By translating multiparticle correlators into the language of graph theory, we can gain new insights into their structure as well as identify efficient ways to manipulate them. We highlight the power of this graph-theoretic approach by “cutting open” the vertices and edges of the graphs, allowing us to systematically classify linear relations among multiparticle correlators and develop faster methods for their computation. The naive computational complexity of an N-point correlator among M particles is O(M[superscript]N), but when the pairwise distances between particles can be cast as an inner product, we show that all such correlators can be computed in linear O(M) run-time. With the help of new tensorial objects called energy flow moments, we achieve a fast implementation of jet substructure observables like C[subscript]2 and D[subscript]2, which are widely used at the Large Hadron Collider to identify boosted hadronic resonances. As another application, we compute the number of leafless multigraphs with d edges up to d=16 (15,641,159), conjecturing that this is the same as the number of independent kinematic polynomials of degree d, previously known only to d=8 (279). ©2020 Physics Subject Headings (PhySH): particle production; perturbative qcd; quantum field theory; scattering amplitudes; graph theory
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 3.0 unported license
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.101.036019
