Built on

C. Ahn and R. I. Nepomechie, “ An Alternative S-matrix for N=6 Chern-Simons theory? ,” JHEP 0903
Original
1915
Earlier work this paper cites.
C. Ahn and R. I. Nepomechie, “ N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations ,” JHEP 0809
Original
1924
Earlier work this paper cites.
K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, “ New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique ,” Nucl. Phys. B 174
1980
Earlier work this paper cites.
S. J. Gates, M. T. Grisaru, M. Rocek and W. Siegel, “ Superspace Or One Thousand and One Lessons in Supersymmetry ,” Front. Phys. 58
1983
Earlier work this paper cites.
A. V. Kotikov, “ The Gegenbauer polynomial technique: The Evaluation of a class of Feynman diagrams ,” Phys. Lett. B 375
1996
Earlier work this paper cites.
H.R.P. Ferguson, D.H. Bailey and S. Arno, “ Analysis of PSLQ, An Integer Relation Finding Algorithm ,” Math. Comput. 68
1999
Earlier work this paper cites.
N. Beisert, C. Kristjansen and M. Staudacher, “ The Dilatation operator of conformal N=4 superYang-Mills theory ,” Nucl. Phys. B 664
2003
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Staudacher, “ Bethe ansatz for quantum strings ,” JHEP 0410
2004
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, “ DGLAP and BFKL equations in the N=4 supersymmetric gauge theory ,” Nucl. Phys. B 661
2004
Earlier work this paper cites.
N. Beisert, V. Dippel and M. Staudacher, “ A Novel long range spin chain and planar N=4 super Yang-Mills ,” JHEP 0407
2004
Earlier work this paper cites.
N. Beisert, “ The Dilatation operator of N=4 super Yang-Mills theory and integrability ,” Phys. Rept. 405
2005
Earlier work this paper cites.
V.A. Smirnov, “ Evaluating Feynman Integrals ,” Springer (2005), 247p, Springer Tracts in Modern Physics
2005
Earlier work this paper cites.
T. Hahn, “ CUBA: A Library for multidimensional numerical integration ,” Comput. Phys. Commun. 168
2005
Earlier work this paper cites.
N. Beisert and T. Klose, “ Long-range gl(n) integrable spin chains and plane-wave matrix theory ,” J. Stat. Mech. 0607
2006
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “ On AdS(5) x S**5 String S-matrix ,” Phys. Lett. B 639
2006
Earlier work this paper cites.
N. Beisert, R. Hernandez and E. Lopez, “ A Crossing-symmetric phase for AdS(5) x S**5 strings ,” JHEP 0611
2006
Earlier work this paper cites.
R. Hernandez and E. Lopez, “ Quantum corrections to the string Bethe ansatz ,” JHEP 0607
2006
Earlier work this paper cites.
V.A. Smirnov, “ Feynman Integral Calculus ,” Springer (2006), Berlin, Germany, 283p
2006
Earlier work this paper cites.
M. Czakon, “ Automatized analytic continuation of Mellin-Barnes integrals ,” Comput. Phys. Commun. 175
2006
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, “ Transcendentality and Crossing ,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
N. Beisert, T. McLoughlin and R. Roiban, “ The Four-loop dressing phase of N=4 SYM ,” Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
J. Gluza, K. Kajda and T. Riemann, “ AMBRE: A Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals ,” Comput. Phys. Commun. 177
Original
2007
Earlier work this paper cites.

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Then

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Later among the works it cites.
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2013

The Leading Order Dressing Phase in ABJM Theory

Mauri, Andrea, Santambrogio, Alberto, Scoleri, Stefano

Understand

We study the planar asymptotic dilatation operator of ABJM theory in the SU(2) x SU(2) sector up to eight loops.

Combining Bethe Ansatz techniques and N = 2 superspace methods, we are able to fix all the coefficients appearing in the maximal-reshuffling terms.
In particular, we can directly compute from Feynman diagrams the leading order coefficient of the dressing phase and find an agreement with the relation conjectured by Gromov and Vieira between the ABJM and N = 4 SYM phase factor.

Built on

C. Ahn and R. I. Nepomechie, “ An Alternative S-matrix for N=6 Chern-Simons theory? ,” JHEP 0903
Original
1915
Earlier work this paper cites.
C. Ahn and R. I. Nepomechie, “ N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations ,” JHEP 0809
Original
1924
Earlier work this paper cites.
K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, “ New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique ,” Nucl. Phys. B 174
1980
Earlier work this paper cites.
S. J. Gates, M. T. Grisaru, M. Rocek and W. Siegel, “ Superspace Or One Thousand and One Lessons in Supersymmetry ,” Front. Phys. 58
1983
Earlier work this paper cites.
A. V. Kotikov, “ The Gegenbauer polynomial technique: The Evaluation of a class of Feynman diagrams ,” Phys. Lett. B 375
1996
Earlier work this paper cites.
H.R.P. Ferguson, D.H. Bailey and S. Arno, “ Analysis of PSLQ, An Integer Relation Finding Algorithm ,” Math. Comput. 68
1999
Earlier work this paper cites.
N. Beisert, C. Kristjansen and M. Staudacher, “ The Dilatation operator of conformal N=4 superYang-Mills theory ,” Nucl. Phys. B 664
2003
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Staudacher, “ Bethe ansatz for quantum strings ,” JHEP 0410
2004
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, “ DGLAP and BFKL equations in the N=4 supersymmetric gauge theory ,” Nucl. Phys. B 661
2004
Earlier work this paper cites.
N. Beisert, V. Dippel and M. Staudacher, “ A Novel long range spin chain and planar N=4 super Yang-Mills ,” JHEP 0407
2004
Earlier work this paper cites.
N. Beisert, “ The Dilatation operator of N=4 super Yang-Mills theory and integrability ,” Phys. Rept. 405
2005
Earlier work this paper cites.
V.A. Smirnov, “ Evaluating Feynman Integrals ,” Springer (2005), 247p, Springer Tracts in Modern Physics
2005
Earlier work this paper cites.
T. Hahn, “ CUBA: A Library for multidimensional numerical integration ,” Comput. Phys. Commun. 168
2005
Earlier work this paper cites.
N. Beisert and T. Klose, “ Long-range gl(n) integrable spin chains and plane-wave matrix theory ,” J. Stat. Mech. 0607
2006
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “ On AdS(5) x S**5 String S-matrix ,” Phys. Lett. B 639
2006
Earlier work this paper cites.
N. Beisert, R. Hernandez and E. Lopez, “ A Crossing-symmetric phase for AdS(5) x S**5 strings ,” JHEP 0611
2006
Earlier work this paper cites.
R. Hernandez and E. Lopez, “ Quantum corrections to the string Bethe ansatz ,” JHEP 0607
2006
Earlier work this paper cites.
V.A. Smirnov, “ Feynman Integral Calculus ,” Springer (2006), Berlin, Germany, 283p
2006
Earlier work this paper cites.
M. Czakon, “ Automatized analytic continuation of Mellin-Barnes integrals ,” Comput. Phys. Commun. 175
2006
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, “ Transcendentality and Crossing ,” J. Stat. Mech. 0701
2007
Earlier work this paper cites.
N. Beisert, T. McLoughlin and R. Roiban, “ The Four-loop dressing phase of N=4 SYM ,” Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
J. Gluza, K. Kajda and T. Riemann, “ AMBRE: A Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals ,” Comput. Phys. Commun. 177
Original
2007
Earlier work this paper cites.