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Notes
- 1.
In the non-Abelian theory, framing regularization does not simply reduce to a cross-correlator.
References
J.M. Drummond, J.M. Henn, J. Plefka, Yangian symmetry of scattering amplitudes in N \(=\) 4 super Yang-Mills theory. JHEP 0905, 046 (2009), [arXiv:0902.2987]
J. Drummond, L. Ferro, Yangians, Grassmannians and T-duality. JHEP 1007, 027 (2010), [arXiv:1001.3348]
R. Akhoury, Mass divergences of wide angle scattering amplitudes. Phys. Rev. D19, 1250 (1979)
A.H. Mueller, On the asymptotic behavior of the sudakov form-factor. Phys. Rev. D20, 2037 (1979)
J.C. Collins, Algorithm to compute corrections to the Sudakov form-factor. Phys. Rev. D22, 1478 (1980)
A. Sen, Asymptotic behavior of the Sudakov form-factor in QCD. Phys. Rev. D24, 3281 (1981)
G.F. Sterman, Summation of large corrections to short distance Hadronic cross-sections. Nucl. Phys. B281, 310 (1987)
J. Botts, G.F. Sterman, Hard elastic scattering in QCD: leading behavior. Nucl. Phys. B325, 62 (1989)
S. Catani, L. Trentadue, Resummation of the QCD perturbative series for hard processes. Nucl. Phys. B327, 323 (1989)
G. Korchemsky, Sudakov form-factor in QCD. Phys. Lett. B220, 629 (1989)
G. Korchemsky, Double logarithmic asymptotics in QCD. Phys. Lett. B217, 330–334 (1989)
L. Magnea, G.F. Sterman, Analytic continuation of the Sudakov form-factor in QCD. Phys. Rev. D42, 4222–4227 (1990)
G. Korchemsky, G. Marchesini, Resummation of large infrared corrections using Wilson loops. Phys. Lett. B313, 433–440 (1993)
S. Catani, The singular behavior of QCD amplitudes at two loop order. Phys. Lett. B427, 161–171 (1998), [hep-ph/9802439]
G.F. Sterman, M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation. Phys. Lett. B552, 48–56 (2003), [hep-ph/0210130]
G. Korchemsky, J. Drummond, E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops. Nucl. Phys. B795, 385–408 (2008), [arXiv:0707.0243]
J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes. Nucl. Phys. B826, 337–364 (2010), [arXiv:0712.1223]
I. Korchemskaya, G. Korchemsky, On lightlike Wilson loops. Phys. Lett. B287, 169–175 (1992)
A. Bassetto, I. Korchemskaya, G. Korchemsky, G. Nardelli, Gauge invariance and anomalous dimensions of a light cone Wilson loop in lightlike axial gauge. Nucl. Phys. B408, 62–90 (1993), [hep-ph/9303314]
S. Ivanov, G. Korchemsky, A. Radyushkin, Infrared asymptotics of perturbative QCD: contour gauges. Yad. Fiz. 44, 230–240 (1986)
G. Korchemsky, G. Marchesini, Structure function for large X and renormalization of Wilson loop. Nucl. Phys. B406, 225–258 (1993), [hep-ph/9210281]
Z. Bern, L.J. Dixon, V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond. Phys. Rev. D72, 085001 (2005), [hep-th/0505205]
L.F. Alday, R. Roiban, Scattering amplitudes, Wilson loops and the String/Gauge theory correspondence. Phys. Rep. 468, 153–211 (2008), [arXiv:0807.1889]
G. Korchemsky, E. Sokatchev, Symmetries and analytic properties of scattering amplitudes in N \(=\) 4 SYM theory. Nucl. Phys. B832, 1–51 (2010), [arXiv:0906.1737]
A. Sever, P. Vieira, Symmetries of the N = 4 SYM S-matrix, arXiv:0908.2437
S. Caron-Huot, S. He, Jumpstarting the all-loop S-matrix of planar N \(=\) 4 super Yang-Mills. JHEP 1207, 174 (2012), [arXiv:1112.1060]
M. Bullimore, D. Skinner, Descent Equations for Superamplitudes, arXiv:1112.1056
M. Bullimore, D. Skinner, Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space, arXiv:1101.1329
D. Gaiotto, J. Maldacena, A. Sever, P. Vieira, Pulling the straps of polygons. JHEP 1112, 011 (2011), [arXiv:1102.0062]
S. Caron-Huot, Superconformal symmetry and two-loop amplitudes in planar N \(=\) 4 super Yang-Mills, arXiv:1105.5606 (Temporary entry)
A. Brandhuber, P. Heslop, G. Travaglini, MHV amplitudes in N \(=\) 4 super Yang-Mills and Wilson loops. Nucl. Phys. B794, 231–243 (2008), [arXiv:0707.1153]
L. Mason, D. Skinner, The complete planar S-matrix of N \(= \)4 SYM as a Wilson loop in Twistor space. JHEP 1012, 018 (2010), [arXiv:1009.2225]
R. Boels, L. Mason, D. Skinner, Supersymmetric gauge theories in Twistor space. JHEP 0702, 014 (2007), [hep-th/0604040]
N. Woodhouse, Real methods in Twistor theory. Class. Quant. Grav. 2, 257–291 (1985)
L.F. Alday, D. Gaiotto, J. Maldacena, A. Sever, P. Vieira, An operator product expansion for polygonal null Wilson loops. JHEP 1104, 088 (2011), [arXiv:1006.2788]
N. Beisert, B. Eden, M. Staudacher, Transcendentality and crossing. J. Stat. Mech. 0701, P01021 (2007), [hep-th/0610251]
L.F. Alday, J. Maldacena, Minimal Surfaces in AdS and the Eight-Gluon Scattering Amplitude at Strong Coupling, arXiv:0903.4707
L.F. Alday, D. Gaiotto, J. Maldacena, Thermodynamic bubble Ansatz. JHEP 1109, 032 (2011), [arXiv:0911.4708]
L.F. Alday, J. Maldacena, A. Sever, P. Vieira, Y-system for scattering amplitudes. J. Phys. A A43, 485401 (2010), [arXiv:1002.2459]
A. Belitsky, G. Korchemsky, E. Sokatchev, Are scattering amplitudes dual to super Wilson loops? Nucl. Phys. B855, 333–360 (2012), [arXiv:1103.3008]
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Appendix: Component Expansions
Appendix: Component Expansions
The superconnection \({\mathbb {A}}\) on chiral superspace is determined by the superspace constraints and supergauge condition \(\theta ^{\alpha a}{\mathcal {A}}_{\alpha a }=0\). Up to order fourth order in the fermions, the constraints are solved by the following expansion
The corresponding supercurvatures have component expansions up to second order in the fermions as follows
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Bullimore, M.R. (2014). Anomalies. In: Scattering Amplitudes and Wilson Loops in Twistor Space. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-00909-4_6
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