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TMF, 2012, Volume 170, Number 2, Pages 206–222 (Mi tmf6759)  

This article is cited in 11 scientific papers (total in 11 papers)

Analytic properties of high-energy production amplitudes in $N{=}4$ SUSY

L. N. Lipatovab

a St. Petersburg Nuclear Physics Institute, Gatchina, Russia
b Institute for Theoretical Physics, Hamburg University, Germany

Abstract: We investigate the analytic properties of the six-point planar amplitude in $N=4$ SUSY in the multi-Regge kinematics for final-state particles. For inelastic processes, the Steinmann relations play an important role because they allow fixing the phase structure of contributions from the Regge pole and Mandelstam cut. These contributions are invariant under the Möbius transformation in the transverse momentum subspace. The analyticity and factorization properties allow reproducing the two-loop correction to the six-point Bern–Dixon–Smirnov amplitude in $N=4$ SUSY previously obtained in the leading logarithmic approximation using the $s$-channel unitarity. We also investigate the exponentiation hypothesis for the so-called remainder function in the multi-Regge kinematics. The six-point amplitude in the leading logarithmic approximation can be completely reproduced from the Bern–Dixon–Smirnov ansatz using the analyticity and Regge factorization.

Keywords: analyticity, Balitsky–Fadin–Kuraev–Lipatov equation, planar amplitude, supersymmetry


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English version:
Theoretical and Mathematical Physics, 2012, 170:2, 166–180

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Received: 12.02.2012

Citation: L. N. Lipatov, “Analytic properties of high-energy production amplitudes in $N{=}4$ SUSY”, TMF, 170:2 (2012), 206–222; Theoret. and Math. Phys., 170:2 (2012), 166–180

Citation in format AMSBIB
\by L.~N.~Lipatov
\paper Analytic properties of high-energy production amplitudes in $N{=}4$ SUSY
\jour TMF
\yr 2012
\vol 170
\issue 2
\pages 206--222
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 2
\pages 166--180

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    This publication is cited in the following articles:
    1. J. Bartels, A. Kormilitzin, L. N. Lipatov, A. Prygarin, “BFKL approach and $2\to5$ maximally helicity violating amplitude in $N=4$ super-Yang-Mills theory”, Phys. Rev. D, 86:6 (2012), 065026, 16 pp.  crossref  adsnasa  isi  elib  scopus
    2. A. Prygarin, M. Spradlin, C. Vergu, A. Volovich, “All two-loop maximally helicity-violating amplitudes in multi-Regge kinematics from applied symbology”, Phys. Rev. D, 85:8 (2012), 085019, 8 pp.  crossref  adsnasa  isi  elib  scopus
    3. L. Lipatov, A. Prygarin, H. J. Schnitzer, “The multi-Regge limit of NMHV amplitudes in $\mathcal{N}=4$ SYM theory”, J. High Energy Phys., 2013, no. 1, 068  crossref  isi  elib  scopus
    4. J. Bartels, A. Kormilitzin, L. N. Lipatov, “Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in the multi-Regge kinematics: conformal Regge pole contribution”, Phys. Rev. D, 89:6 (2014), 065002  crossref  adsnasa  isi  elib  scopus
    5. J. Bartels, A. Kormilitzin, L. N. Lipatov, “Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: conformal Regge cut contribution”, Phys. Rev. D, 91:4 (2015), 045005  crossref  mathscinet  adsnasa  isi  scopus
    6. B. Basso, S. Caron-Huot, A. Sever, “Adjoint BFKL at finite coupling: a short-cut from the collinear limit”, J. High Energy Phys., 2015, no. 1, 027, 1–46  crossref  isi  scopus
    7. J. Bartels, V. Schomerus, M. Sprenger, “The Bethe roots of Regge cuts in strongly coupled $\mathcal{N}=4$ SYM theory”, J. High Energy Phys., 2015, no. 7, 098  crossref  mathscinet  isi  elib  scopus
    8. G. Chachamis, A. Sabio Vera, “_orig solution of the bartels-kwiecinski-praszalowicz equation via monte carlo integration”, Phys. Rev. D, 94:3 (2016), 034019  crossref  isi  elib  scopus
    9. T. Bargheer, “Systematics of the multi-Regge three-loop symbol”, J. High Energy Phys., 2017, no. 11, 077  crossref  mathscinet  isi  scopus
    10. V. Del Duca, S. Druc, J. Drummond, C. Duhr, F. Dulat, R. Marzucca, G. Papathanasiou, B. Verbeek, “The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy”, J. High Energy Phys., 2018, no. 6, 116  crossref  isi
    11. G. Chachamis, A. Sabio Vera, “Open spin chains and complexity in the high energy limit”, Eur. Phys. J. C, 78:6 (2018), 496  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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