The two-loop symbol of all multi-Regge regions

Bargheer, Till; Papathanasiou, Georgios; Schomerus, Volker

doi:10.1007/JHEP05(2016)012

Title: The two-loop symbol of all multi-Regge regions

Journal Article · Mon May 02 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2016)012· OSTI ID:1256308

Bargheer, Till ^[1]; Papathanasiou, Georgios ^[2]; Schomerus, Volker ^[1]

Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)

Here, we study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam regions in multi-Regge kinematics in N=4 super Yang-Mills 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 seven-gluon 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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1256308

Report Number(s):: SLAC-PUB-16473; PII: 3895; TRN: US1601744

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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Systematics of the multi-Regge three-loop symbol Bargheer, Till Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-12764	text	January 2017
The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy Del Duca, Vittorio; Druc, Stefan; Drummond, James Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-02259	text	January 2018
The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01807	text	January 2020
The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy Del Duca, Vittorio; Druc, Stefan; Drummond, James Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03272	text	January 2018
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The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02567	text	January 2019
Systematics of the Multi-Regge Three-Loop Symbol Bargheer, Till Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2016-02553	text	January 2016
All-order amplitudes at any multiplicity in the multi-Regge limit Del Duca, V.; Druc, S.; Drummond, J. M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01808	text	January 2020
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğan, Ömer Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-05809	text	January 2018
All-order amplitudes at any multiplicity in the multi-Regge limit Del Duca, V.; Druc, S.; Drummond, J. M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00194	text	January 2019
All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit Del Duca, Vittorio; Druc, S.; Drummond, James M. ETH Zurich https://doi.org/10.3929/ethz-b-000412664	text	January 2020
Systematics of the Multi-Regge Three-Loop Symbol Bargheer, Till arXiv https://doi.org/10.48550/arxiv.1606.07640	text	January 2016
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğan, Ömer arXiv https://doi.org/10.48550/arxiv.1812.04640	text	January 2018
The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker arXiv https://doi.org/10.48550/arxiv.1906.00990	text	January 2019

Figures / Tables (3)

Figure 1(p. 6)

Figure 2(p. 15)

Figure 3(p. 16)

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