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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4]
  1. Federal Inst. of Technology, Zurich (Switzerland). Inst. for Theoretical Physics
  2. 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)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1503549
Report Number(s):
SLAC-PUB-17357
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Gauge Symmetry; Supersymmetric Gauge Theory

Citation Formats

Del Duca, Vittorio, Duhr, Claude, Dulat, Falko, and Penante, Brenda. All two-loop MHV remainder functions in multi-Regge kinematics. United States: N. p., 2019. Web. doi:10.1007/jhep01(2019)162.
Del Duca, Vittorio, Duhr, Claude, Dulat, Falko, & Penante, Brenda. All two-loop MHV remainder functions in multi-Regge kinematics. United States. doi:10.1007/jhep01(2019)162.
Del Duca, Vittorio, Duhr, Claude, Dulat, Falko, and Penante, Brenda. Mon . "All two-loop MHV remainder functions in multi-Regge kinematics". United States. doi:10.1007/jhep01(2019)162. https://www.osti.gov/servlets/purl/1503549.
@article{osti_1503549,
title = {All two-loop MHV remainder functions in multi-Regge kinematics},
author = {Del Duca, Vittorio and Duhr, Claude and Dulat, Falko and Penante, Brenda},
abstractNote = {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.},
doi = {10.1007/jhep01(2019)162},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 1,
volume = 2019,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
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Figures / Tables:

Figure 1 Figure 1: Simplicial MRK coordinates parametrising the transverse space for the scattering of N particles in MRK.

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.