Preprint/Report PUBDB-2016-00074

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The Two-Loop Symbol of all Multi-Regge Regions

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2015

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Report No.: DESY-15-257; arXiv:1512.07620

Abstract: 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.

Keyword(s): supersymmetry: 4 ; kinematics: multi-Regge ; buildings ; maximally helicity violating amplitude ; gluon


Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
  2. GATIS - Gauge Theory as an Integrable System (317089) (317089)
  3. INTGAUGESTRING - Integrable Structures in Supersymmetric Gauge Theory and its String Dual (299865) (299865)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2015
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The two-loop symbol of all multi-Regge regions
Journal of high energy physics 2016(5), 12 () [10.1007/JHEP05(2016)012]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2016-01-06, last modified 2021-11-10


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