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Abstract
A necessary ingredient for extending the BFKL equation to next-to-next-to-leading logarithmic (NNLL) accuracy is the one-loop central emission vertex (CEV) for two gluons which are not strongly ordered in rapidity. Here we consider the one-loop six-gluon amplitude in N = 4 super Yang-Mills (SYM) theory in a central next-to-multi-Regge kinematic (NMRK) limit, we show that its dispersive part factorises in terms of the two-gluon CEV, and we use it to extract the one-loop two-gluon CEV for any helicity configuration within this theory. This is a component of the two-gluon CEV in QCD. Although computed in the NMRK limit, both the colour structure and the kinematic dependence of the two-gluon CEV capture much of the complexity of the six-gluon amplitudes in general kinematics. In fact, the transcendental functions of the latter can be conveniently written in terms of impact factors, trajectories, single-emission CEVs and a remainder, which is a function of the conformally invariant cross ratios which characterise the six-gluon amplitudes in planar N = 4 SYM. Finally, as expected, in the MRK limit the two-gluon CEV neatly factorises in terms of two single-emission CEVs.
Original language | English |
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Article number | 271 |
Pages (from-to) | 1-86 |
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 Non-textual outputs)
- Higher-Order Perturbative Calculations
- Resummation
- Scattering Amplitudes
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Dive into the research topics of 'One-loop central-emission vertex for two gluons in N = 4 super Yang-Mills theory'. Together they form a unique fingerprint.Projects
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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
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