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Non-analytic terms of string amplitudes from partial waves

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arxiv 2407.15925 v3 pith:G4KLDEUB submitted 2024-07-22 hep-th

classification hep-th
keywords amplitudescomputecontributionsgeneralloopnon-analyticorderterms
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We describe a general formalism based on the partial-wave decomposition to compute the iterative $s$-channel discontinuity of four-point amplitudes at any loop order. As an application, we focus on the low-energy expansions of type I and II superstring amplitudes. Besides providing new results for their leading and sub-leading logarithmic contributions beyond genus one, our approach elucidates the general structure of non-analytic threshold terms. In the case of open strings, the use of orthogonal colour projectors allows us to efficiently compute all contributions from different worldsheet topologies at a given loop order.

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  1. Type II superstring amplitude at one-loop and transcendentality

    hep-th 2024-12 conditional novelty 7.0 of 10

    The one-loop four-graviton Type II superstring amplitude is extended to seventh order in the low-energy expansion, giving a new D14R4 term and a revised general form with single-valued multiple zeta values and zeta-lo...

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