All two-loop MHV remainder functions in multi-Regge kinematics

Del Duca, Vittorio; Duhr, Claude; Dulat, Falko; Penante, Brenda

doi:10.1007/jhep01(2019)162

Title: All two-loop MHV remainder functions in multi-Regge kinematics

Journal Article · 20 January 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2019)162 · OSTI ID:1503549

Del Duca, Vittorio ^[1]; Duhr, Claude ^[2]; Dulat, Falko ^[3]; Penante, Brenda ^[4]

Federal Inst. of Technology, Zurich (Switzerland). Inst. for Theoretical Physics
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; Univ. Catholique de Louvain, Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.

We introduce a method to extract the symbol of the coefficient of (2πi)² of MHV remainder functions in planar N = 4 Super Yang-Mills in multi-Regge kinematics region directly from the symbol in full kinematics. At two loops this symbol can be uplifted to the full function in a unique way, without any beyond-the-symbol ambiguities. We can therefore determine all two-loop MHV amplitudes at function level in all kinematic regions with different energy signs in multi-Regge kinematics. We analyse our results and we observe that they are consistent with the hypothesis of a contribution from the exchange of a three-Reggeon composite state starting from two loops and eight points in certain kinematic regions.

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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:: 1503549

Report Number(s):: SLAC-PUB--17357

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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