Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
Jan, 2010
45 pages
Published in:
- JHEP 04 (2010) 038
e-Print:
- 1001.1358 [hep-th]
Report number:
- HU-EP-09-64,
- BOW-PH-146,
- BRX-TH-615,
- BROWN-HET-1591
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Abstract: (arXiv)
We compute the three-loop contribution to the N=4 supersymmetric Yang-Mills planar four-gluon amplitude using the recently-proposed Higgs IR regulator of Alday, Henn, Plefka, and Schuster. In particular, we test the proposed exponential ansatz for the four-gluon amplitude that is the analog of the BDS ansatz in dimensional regularization. By examining our results in several kinematic limits, we show that the four-gluon amplitude is consistent with this ansatz at the three-loop level. We also examine the Regge limit of the planar four-gluon amplitude using several different IR regulators: dimensional regularization, Higgs regularization, and a cutoff regularization. In the latter two schemes, it is shown that the leading logarithmic (LL) behavior of the amplitudes, and therefore the lowest-order approximation to the gluon Regge trajectory, is correctly obtained from the ladder approximation of the sum of diagrams. In dimensional regularization, on the other hand, there is no single dominant set of diagrams in the LL approximation. We also compute the NLL and NNLL behavior of the L-loop ladder diagram using Higgs regularization.- Supersymmetric gauge theory
- AdS-CFT Correspondence
- NLO Computations
- 1/N Expansion
- regularization: dimensional
- Yang-Mills: supersymmetry
- gluon: Regge
- supersymmetry: 4
- higher-order: 3
- ladder approximation
References(71)
Figures(9)