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Abstract / Description of output
A necessary ingredient for extending the BFKL equation to nexttonexttoleading logarithmic (NNLL) accuracy is the oneloop central emission vertex (CEV) for two gluons which are not strongly ordered in rapidity. Here we consider the oneloop sixgluon amplitude in N = 4 super YangMills (SYM) theory in a central nexttomultiRegge kinematic (NMRK) limit, we show that its dispersive part factorises in terms of the twogluon CEV, and we use it to extract the oneloop twogluon CEV for any helicity configuration within this theory. This is a component of the twogluon CEV in QCD. Although computed in the NMRK limit, both the colour structure and the kinematic dependence of the twogluon CEV capture much of the complexity of the sixgluon amplitudes in general kinematics. In fact, the transcendental functions of the latter can be conveniently written in terms of impact factors, trajectories, singleemission CEVs and a remainder, which is a function of the conformally invariant cross ratios which characterise the sixgluon amplitudes in planar N = 4 SYM. Finally, as expected, in the MRK limit the twogluon CEV neatly factorises in terms of two singleemission CEVs.
Original language  English 

Article number  271 
Pages (fromto)  186 
Number of pages  86 
Journal  Journal of High Energy Physics 
Volume  2022 
Issue number  8 
DOIs  
Publication status  Published  26 Aug 2022 
Keywords / Materials (for Nontextual outputs)
 HigherOrder Perturbative Calculations
 Resummation
 Scattering Amplitudes
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 3 Finished


Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research
