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Hauptverfasser: Guevara, Alfredo, Lupsasca, Alexandru, Skinner, David, Strominger, Andrew, Weil, Kevin
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2603.04330
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author Guevara, Alfredo
Lupsasca, Alexandru
Skinner, David
Strominger, Andrew
Weil, Kevin
author_facet Guevara, Alfredo
Lupsasca, Alexandru
Skinner, David
Strominger, Andrew
Weil, Kevin
contents Single-minus tree-level $n$-graviton scattering amplitudes are revisited. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. A Berends-Giele recursion relation for these amplitudes is derived and solved in a form involving a sum over trees. In a restricted kinematic decay region, this solution simplifies significantly to an $(n{-}2)$-fold product of soft factors. It is further shown in this region that, combined with suitable analyticity assumptions, the $n$-graviton amplitude is generated by a recursive $\mathcal{L}w_{1+\infty}$ Ward identity with the three-graviton amplitude as a seed.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04330
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Single-minus graviton tree amplitudes are nonzero
Guevara, Alfredo
Lupsasca, Alexandru
Skinner, David
Strominger, Andrew
Weil, Kevin
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Single-minus tree-level $n$-graviton scattering amplitudes are revisited. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. A Berends-Giele recursion relation for these amplitudes is derived and solved in a form involving a sum over trees. In a restricted kinematic decay region, this solution simplifies significantly to an $(n{-}2)$-fold product of soft factors. It is further shown in this region that, combined with suitable analyticity assumptions, the $n$-graviton amplitude is generated by a recursive $\mathcal{L}w_{1+\infty}$ Ward identity with the three-graviton amplitude as a seed.
title Single-minus graviton tree amplitudes are nonzero
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.04330