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<p>The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be rewritten in terms of tree-level kinematic factors. We then analyze the closed string. For three points, this is immediate. For four points, we show that it is possible to rewrite the one-loop closed-string correlator using tree-level kinematic factors, but only for certain combinations of massive and massless states (different for type IIA and IIB).</p>

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The massive one-loop four-point string amplitude in pure spinor superspace

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  • 发表日期：

    2026年3月16日

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  • Carlos R. Mafra

摘要

The open- and closed-string three- and four-point one-loop amplitudes involving massless states and one first-level massive state are computed in pure spinor superspace. For the open string, we show that their one-loop correlators can be rewritten in terms of tree-level kinematic factors. We then analyze the closed string. For three points, this is immediate. For four points, we show that it is possible to rewrite the one-loop closed-string correlator using tree-level kinematic factors, but only for certain combinations of massive and massless states (different for type IIA and IIB).