BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes

By J. Bartels, L. Lipatov, U. A.SabioVeraHamburg, St. Petersburg Nuclear Physics Institute, Cern. 2008

200 citations recorded by the source corpus.

After a brief review of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach to Regge processes in QCD and in supersymmetric gauge theories we propose a strategy for calculating the next-to-next-toleading order corrections to the BFKL kernel. They can be obtained in terms of various cross sections for Reggeized gluon interactions. The corresponding amplitudes can be calculated in the framework of the effective action for high-energy scattering. In the case of N ¼ 4 supersymmetry it is also possible to use the Bern-Dixon-Smirnov ansatz. For this purpose the analytic properties of the Bern-Dixon-Smirnov amplitudes at high energies are investigated, in order to verify their self-consistency. It is found that, for the number of external particles being larger than 5, these amplitudes, beyond one loop, are not in agreement with the BFKL approach which predicts the existence of Regge cuts in some physical channels.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c541bbad6577e5b38e1d50b06833baaec21c66dc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. J. Drummond
2. L. Dixon
3. M. Spradlin
4. Claude Duhr
5. L. Alday
6. A. Goncharov
7. J. Henn
8. A. Volovich

In Nuclear and High Energy Physics

1. L. Dixon
2. S. Caron-Huot
3. Claude Duhr
4. J. Drummond
5. M. Spradlin
6. L. Alday
7. J. Henn
8. R. Roiban

Citations in the corpus

• Classical polylogarithms for amplitudes and Wilson loops. (2010, background): “[33] J.”
• Hexagon Wilson loop = six-gluon MHV amplitude (2008, unknown): “[30, 31] and it provided further evidence that the BDS ansatz needs to be corrected [31].”
• An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM (2010, methodology): “Namely, for n = 4 one obtains the QMRK of a cluster of zero particles along the ladder, which is the standard Regge limit [13], and for n = 5 the QMRK of a cluster of one particle along the ladder, which is the multi-Regge kinematics of five particles [7, 23].”
• Notes on the scattering amplitude — Wilson loop duality (2010, background): “They conrmed the BDS Ansatz at 4- and 5-points but observed deviations for suciently large number of particles [ 10]; deviations at 6 points were also deduced from investigation of Regge limits [ 11 ].”
• Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, background): “Additional evidence in the same direction comes from the analysis of the BFKL equation [147].”
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory (2009, background): “In fact the BDS conjecture is now known to fail at two loops and six points [25, 26, 27, 28, 29] but the deviations from it are constrained by a novel symmetry, dual conformal symmetry, which we will now discuss.”
• Bootstrapping the three-loop hexagon (2011, background): “In fact, the functions we are interested in vanish in this limit in the Euclidean region [51, 52, 53] (when all separations xij are taken to be spacelike) but are non-vanishing and even logarithmically divergent in physical regions for 2 → 4 and 3→ 3 processes [44, 45, 52, 48, 49].”
• Single-valued harmonic polylogarithms and the multi-Regge limit (2012, background): “To reach the Minkowski version of the MRK limit, which is relevant for 2 → 4 scattering, it is necessary to analytically continue u1 from the Euclidean region according to u1 → e|u1|, before taking this limit [16].”