pith. machine review for the scientific record. sign in

arxiv: hep-th/0501052 · v2 · submitted 2005-01-07 · ✦ hep-th

Recognition: unknown

Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory

Authors on Pith no claims yet
classification ✦ hep-th
keywords amplitudesrecursionrelationtree-leveldirectproofscatteringtheory
0
0 comments X
read the original abstract

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion relation based on properties of tree-level amplitudes only.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond

    hep-th 2026-05 unverdicted novelty 7.0

    S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.

  2. Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

    hep-ph 2026-05 unverdicted novelty 7.0

    Analytic expressions for the finite remainders of two-loop leading-color helicity amplitudes in Higgs plus two-jet production are obtained in the heavy-top effective theory using numerical unitarity and a new partial-...

  3. Learning to Unscramble: Simplifying Symbolic Expressions via Self-Supervised Oracle Trajectories

    hep-th 2026-03 unverdicted novelty 7.0

    A permutation-equivariant transformer trained on self-supervised oracle trajectories from scrambled expressions achieves near-perfect simplification rates for dilogarithms and 100% success on 5-point gluon scattering ...

  4. Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes?

    hep-th 2026-04 unverdicted novelty 5.0

    Locality, unitarity, and hidden zeros determine tree-level YM and NLSM amplitudes by reconstructing their soft theorems.

  5. Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory

    hep-ph 2026-05 unverdicted novelty 4.0

    The paper decomposes two-loop Yang-Mills gluon amplitudes into color structures via trace and structure-constant bases and organizes relations between the resulting partial amplitudes.