The twoloop symbol of all multiRegge regions
Here, we study the symbol of the twoloop ngluon MHV amplitude for all Mandelstam regions in multiRegge kinematics in N=4 super YangMills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six and sevengluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality.
 Authors:

^{[1]};
^{[2]};
^{[1]}
 Deutsches ElektronenSynchrotron (DESY), Hamburg (Germany)
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
 Publication Date:
 Report Number(s):
 SLACPUB16473
Journal ID: ISSN 10298479; PII: 3895; TRN: US1601744
 Grant/Contract Number:
 AC0276SF00515
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; supersymmetric gauge theory; 1/N expansion; extended supersymmetry
 OSTI Identifier:
 1256308
Bargheer, Till, Papathanasiou, Georgios, and Schomerus, Volker. The twoloop symbol of all multiRegge regions. United States: N. p.,
Web. doi:10.1007/JHEP05(2016)012.
Bargheer, Till, Papathanasiou, Georgios, & Schomerus, Volker. The twoloop symbol of all multiRegge regions. United States. doi:10.1007/JHEP05(2016)012.
Bargheer, Till, Papathanasiou, Georgios, and Schomerus, Volker. 2016.
"The twoloop symbol of all multiRegge regions". United States.
doi:10.1007/JHEP05(2016)012. https://www.osti.gov/servlets/purl/1256308.
@article{osti_1256308,
title = {The twoloop symbol of all multiRegge regions},
author = {Bargheer, Till and Papathanasiou, Georgios and Schomerus, Volker},
abstractNote = {Here, we study the symbol of the twoloop ngluon MHV amplitude for all Mandelstam regions in multiRegge kinematics in N=4 super YangMills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six and sevengluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality.},
doi = {10.1007/JHEP05(2016)012},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {2016},
month = {5}
}