DOAJ Open Access 2023

The KLT relation from the tree formula and permutohedron

Qu Cao Liang Zhang

Abstrak

Abstract In this paper, we generalize the Nguyen–Spradlin–Volovich–Wen (NSVW) tree formula from the MHV sector to any helicity sector. We find a close connection between the Permutohedron and the KLT relation, and construct a non-trivial mapping between them, linking the amplitudes in the gauge and gravity theories. The gravity amplitude can also be mapped from a determinant followed from the matrix-tree theorem. Besides, we use the binary tree graphs to manifest its Lie structure. In our tree formula, there is an evident Hopf algebra of the permutation group behind the gravity amplitudes. Using the tree formula, we can directly re-derive the soft/collinear limit of the amplitudes.

Topik & Kata Kunci

Astrophysics Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (2)

Qu Cao

Liang Zhang

Format Sitasi

APA MLA BibTeX

Cao, Q., Zhang, L. (2023). The KLT relation from the tree formula and permutohedron. https://doi.org/10.1140/epjc/s10052-022-11168-1

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1140/epjc/s10052-022-11168-1
Akses: Open Access ✓