VibeMathedMath problems solved by AI
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Single-Minus Gluon Tree Amplitudes

Do the tree-level amplitudes An(1−,2+,…,n+)A_n(1^-, 2^+, \dots, n^+) vanish identically, or can they be nonzero in half-collinear kinematics - and if nonzero, what is their all-nn closed form?

Result
Disproved(see note)
Status
Resolved
AI contribution
AI-discovered
Method
Construction
Field
Scattering amplitudes
Posed by
—
Year posed
2011
Years open
15y
Solved
2026-02-12
Model
GPT-5.2 Pro
Vendor
OpenAI
Collaborators
Alfredo Guevara, Alex Lupsasca, David Skinner, Andrew Strominger
Verification
Unreviewed
Publication
Preprint
Significance
15 / 100
Disclosed cost
—
Wikipedia
No dedicated article

What was actually shown

nonzero on half-collinear complex kinematics, with a closed formula

What the AI did

GPT-5.2 Pro derived the piecewise-constant closed formula for every multiplicity; the authors checked it analytically, including against Weinberg's soft theorem.

Verification

Analytically checked by the authors against multiple consistency conditions; arXiv preprint, not yet peer-reviewed.

Source

arXiv:2602.12176 - Single-minus gluon tree amplitudes are nonzero

Discussion