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Superstring measure and non-renormalization of the three-point amplitude

2008/06/30 by Marco Matone, Roberto Volpato · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #math.AG

paper · pdf · doi:10.1016/j.nuclphysb.2008.08.011

published as Nucl.Phys.B806:735-747,2009 · 14 pages; minor corrections, some comments added. Accepted for publication in Nucl.Phys.B

openalex publication_date 2008/08/15 · arxiv created 2008/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We show that a recently conjectured expression for the superstring three-point amplitude, in the framework of the Cacciatori, Dalla Piazza, van Geemen–Grushevsky ansatz for the chiral measure, fails to vanish at three-loop, in contrast with expectations from non-renormalization theorems. Based on analogous two-loop computations, we discuss the possibility of a non-trivial correction to the amplitude and propose a natural candidate for such a contribution. Thanks to a new remarkable identity, it is reasonable to expect that the corrected three-point amplitude vanishes at three-loop, recovering the agreement with non-renormalization theorems.

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