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From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited · Around

2013

From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited

Lipstein, Arthur E., Mason, Lionel

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Recently, loop integrands for certain Yang-Mills scattering amplitudes and correlation functions have been shown to be systematically expressible in dlog form, raising the possibility that these loop integrals can be performed directly without Feynman parameters.

We do so here to give a new description of the planar 1-loop MHV amplitude in N = 4 super Yang-Mills theory.
We explicitly incorporate the standard Feynman i epsilon prescription into the integrands.
We find that the generic MHV diagram contributing to the 1-loop MHV amplitude, known as Kermit, is dual conformal invariant up to the choice of reference twistor explicit in our axial gauge (the generic MHV diagram was already known to be finite).

Built on

Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Nucl. Phys. B 425
1994
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.
F. Cachazo, P. Svrcek and E. Witten, “MHV vertices and tree amplitudes in gauge theory,” JHEP 0409
2004
Earlier work this paper cites.
K. Risager, “A Direct proof of the CSW rules,” JHEP 0512
2005
Earlier work this paper cites.
A. Brandhuber, B. J. Spence and G. Travaglini, “One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices,” Nucl. Phys. B 706
2005
Earlier work this paper cites.
L. J. Mason, “Twistor actions for non-self-dual fields: A Derivation of twistor-string theory,” JHEP 0510
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys. B 715
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, “Magic identities for conformal four-point integrals,” JHEP 0701
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.
R. Boels, L. J. Mason and D. Skinner, “Supersymmetric Gauge Theories in Twistor Space,” JHEP 0702
2007
Earlier work this paper cites.
R. Boels, L. J. Mason and D. Skinner, “From twistor actions to MHV diagrams,” Phys. Lett. B 648
2007
Earlier work this paper cites.

Similar

J. M. Drummond, G. P. Korchemsky, and E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
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A. Brandhuber, P. Heslop and G. Travaglini, “A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix,” Phys. Rev. D 78
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2008
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J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, “On planar gluon amplitudes/Wilson loops duality,” Nucl. Phys. B 795
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A. Brandhuber, P. Heslop, and G. Travaglini, “MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops,” Nucl. Phys. B 794
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O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810

Then

R. H. Boels, “On BCFW shifts of integrands and integrals,” JHEP 1011
Original
2010
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2010
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T. Adamo, M. Bullimore, L. Mason and D. Skinner, “Scattering Amplitudes and Wilson Loops in Twistor Space,” J. Phys. A 44
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2011
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N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, “The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM,” JHEP 1101
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2011
Later among the works it cites.
S. Caron-Huot, “Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills,” JHEP 1112

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