Five-point Type IIB String Amplitudes at One Loop

Fuente: arXiv
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Autori principali: Claasen, Emiel, Doroudiani, Mehregan
Natura: Preprint
Pubblicazione: 2026
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author Claasen, Emiel
Doroudiani, Mehregan
author_facet Claasen, Emiel
Doroudiani, Mehregan
contents Massless type IIB superstring amplitudes are organized according to the number of external states and their ${\mathrm U}(1)$ 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 $D^{12}R^5$ and $D^{14}ϕR^4$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19979
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Five-point Type IIB String Amplitudes at One Loop
Claasen, Emiel
Doroudiani, Mehregan
High Energy Physics - Theory
Massless type IIB superstring amplitudes are organized according to the number of external states and their ${\mathrm U}(1)$ 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 $D^{12}R^5$ and $D^{14}ϕR^4$ 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.
title Five-point Type IIB String Amplitudes at One Loop
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.19979