All two-loop MHV remainder functions in multi-Regge kinematics

Author:

Del Duca Vittorio,Duhr Claude,Dulat Falko,Penante Brenda

Abstract

Abstract We introduce a method to extract the symbol of the coefficient of (2πi)2 of MHV remainder functions in planar $$ \mathcal{N} $$ N = 4 Super Yang-Mills in multi-Regge kinematics region directly from the symbol in full kinematics. At two loops this symbol can be uplifted to the full function in a unique way, without any beyond-the-symbol ambiguities. We can therefore determine all two-loop MHV amplitudes at function level in all kinematic regions with different energy signs in multi-Regge kinematics. We analyse our results and we observe that they are consistent with the hypothesis of a contribution from the exchange of a three-Reggeon composite state starting from two loops and eight points in certain kinematic regions.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Anomalous dimensions from soft Regge constants;Journal of High Energy Physics;2023-05-03

2. The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit;Journal of Physics A: Mathematical and Theoretical;2022-11-04

3. Exploring Reggeon bound states in strongly-coupled $$ \mathcal{N} $$ = 4 super Yang-Mills;Journal of High Energy Physics;2022-01

4. The two-loop remainder function for eight and nine particles;Journal of High Energy Physics;2021-06

5. N =  4 SYM Gauge Theories: The 2 → 6 Amplitude in the Regge Limit;Texts & Monographs in Symbolic Computation;2021

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