Journal
NUCLEAR PHYSICS B
Volume 873, Issue 3, Pages 461-513Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2013.04.022
Keywords
-
Categories
Funding
- Kavli Institute for Theoretical Physics in Santa Barbara
- UCLA, Caltech
- SLAC
- National Science Foundation [NSF PHY05-51164]
- MPG
- Deutsch-Israelische Projektkooperation [DIP H52]
Ask authors/readers for more resources
Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N - 3)! Yang-Mills partial sub-amplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Grobner basis analysis provides independent sets of rational functions in the Euler integrals. (C) 2013 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available