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#### Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string

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##### Fulltext (public)

1608.02569.pdf

(Preprint), 292KB

JHEP06(2017)093.pdf

(Publisher version), 697KB

##### Supplementary Material (public)

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##### Citation

Carrasco, J. J. M., Mafra, C. R., & Schlotterer, O. (2017). Abelian Z-theory: NLSM
amplitudes and alpha'-corrections from the open string.* Journal of high energy physics: JHEP,*
*2017*(06): 093. doi:10.1007/JHEP06(2017)093.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-5FC0-A

##### Abstract

In this paper we derive the tree-level S-matrix of the effective theory of
Goldstone bosons known as the non-linear sigma model (NLSM) from string theory.
This novel connection relies on a recent realization of tree-level
open-superstring S-matrix predictions as a double copy of super-Yang-Mills
theory with Z-theory --- the collection of putative scalar effective field
theories encoding all the alpha'-dependence of the open superstring. Here we
identify the color-ordered amplitudes of the NLSM as the low-energy limit of
abelian Z-theory. This realization also provides natural higher-derivative
corrections to the NLSM amplitudes arising from higher powers of alpha' in the
abelian Z-theory amplitudes, and through double copy also to Born-Infeld and
Volkov-Akulov theories. The Kleiss-Kuijf and Bern-Carrasco-Johansson relations
obeyed by Z-theory amplitudes thereby apply to all alpha'-corrections of the
NLSM. As such we naturally obtain a cubic-graph parameterization for the
abelian Z-theory predictions whose kinematic numerators obey the duality
between color and kinematics to all orders in alpha'.