Analyticity Domain for Offshell Fivepoint Superstring Loop Amplitudes
Abstract
In an earlier work arXiv:2009.0337, we showed that for arbitrary Feynman loop diagrams (with no massless internal propagators) in closed superstring field theory, a known domain can be analytically extended by simply adjoining convex combinations of points drawn from it. Such extension yielded 350 of the wellknown 370 primitive tubes for 5point functions. In this paper, we consider the remaining 20 primitive tubes. We show that different types of convex combinations cover different sections of these tubes. We use a specific algorithm to analytically obtain 129 types of convex combinations along with their region of validity. Then, we use numerical techniques to locate points from those tubes that are not covered by them. This does not rule out the possibility of the leftover points being represented as desirable convex combinations. Indeed we give ways to improve our algorithm indicating that the leftover points can be covered.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.13215
 Bibcode:
 2021arXiv211013215B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 27 pages, 4 table, new tables added, new appendix added