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

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

2008-06-26

arxiv.org/abs/0806.4370v2

Nucl.Phys.B806:735-747,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; minor corrections, some comments added. Accepted for publication in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2008.08.011

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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