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Five-point Type IIB string amplitudes at one loop
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DOI：10.1007/jhep07(2026)095.png)
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Abstract
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Massless type IIB superstring amplitudes are organized according to the number of external states and their U(1) charge under the R-symmetry of type IIB supergravity. In this work, we analyze the low-energy expansion of one-loop five-point amplitudes in all charge sectors, focusing on the representative processes involving five gravitons and four gravitons with one dilaton. We compute the one-loop contributions to the moduli-dependent couplings in the type IIB effective action up to the D12R5 and D14ϕR4 interactions. The results are consistent with S-duality constraints in every charge sector and exhibit rich arithmetic structure, including single-valued multiple zeta values, affine linear combinations of logarithmic derivatives of the Riemann zeta function at odd integers, and a new constant of currently unknown nature.
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