\(N = 4\) SYM gauge theories: the \(2 \rightarrow 6\) amplitude in the Regge limit. (English) Zbl 1484.81038
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 83-106 (2021).
Summary: In this contribution we discuss the Regge limit of scattering amplitudes in \(N = 4\) SYM in the planar approximation. The analysis is based upon unitarity and energy discontinuities, and the analytic structure plays a vital role. We first summarize the lessons learned from the study of the remainder functions of the \(2 \rightarrow 4\) and the \(2 \rightarrow 5\) scattering amplitudes and then present new results for the \(2 \rightarrow 6\) amplitude.
For the entire collection see [Zbl 1475.81004].
For the entire collection see [Zbl 1475.81004].
MSC:
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 81U35 | Inelastic and multichannel quantum scattering |
| 81U90 | Particle decays |
References:
| [1] | O. Steinmann, Helv. Physica. Acta 33, 257 (1960); Helv. Physica. Acta 33, 347 (1960) · Zbl 0131.44202 |
| [2] | J. Bartels, V.S. Fadin, L.N. Lipatov, G.P. Vacca, Nucl. Phys. B 867, 827-854 (2013). [arXiv:1210.0797 [hep · Zbl 1262.81187 |
| [3] | Z. Bern, L.J. Dixon, V.A. Smirnov, Phys. Rev. D 72 (2005) 085001. [hep-th/0505205] · doi:10.1103/PhysRevD.72.085001 |
| [4] | J. Bartels, L.N. Lipatov, A. Sabio Vera, Phys. Rev. D 80 (2009) 045002. [arXiv:0802.2065 [hep-th]] |
| [5] | J. Bartels, L.N. Lipatov, A. Sabio Vera, Eur. Phys. J. C 65 (2010) 587. [arXiv:0807.0894 [hep-th]] |
| [6] | J. Bartels, A. Kormilitzin, L. Lipatov, Phys. Rev. D 89 (2014) 065002. [arXiv:1311.2061 [hep-th]] |
| [7] | J. Bartels, A. Kormilitzin, L.N. Lipatov, Phys. Rev. D 91, 045005 (2015). arXiv:1411.2294 [hep-th] · doi:10.1103/PhysRevD.91.045005 |
| [8] | J. Bartels, A. Kormilitzin, L.N. Lipatov, A. Prygarin, Phys. Rev. D 86, 065026 (2012). https://doi.org/10.1103/PhysRevD.86.065026. [arXiv:1112.6366 [hep-th]] · doi:10.1103/PhysRevD.86.065026 |
| [9] | T. Bargheer, G. Papathanasiou, V. Schomerus, JHEP 1605, 012 (2016). [arXiv:1512.07620 [hep-th]] · doi:10.1007/JHEP05(2016)012 |
| [10] | V. Del Duca, S. Druc, J. Drummond, C. Duhr, F. Dulat, R. Marzucca, G. Papathanasiou, B. Verbeek, JHEP 1806, 116 (2018). [arXiv:1801.10605 [hep-th]] · Zbl 1395.81160 · doi:10.1007/JHEP06(2018)116 |
| [11] | V. Del Duca, C. Duhr, F. Dulat, B. Penante, JHEP 1901, 162 (2019). [arXiv:1811.10398 [hep-th]] · Zbl 1409.81145 · doi:10.1007/JHEP01(2019)162 |
| [12] | S. Caron-Huot, L.J. Dixon, F. Dulat, M. von Hippel, A.J. McLeod, G. Papathanasiou, JHEP 1908, 016 (2019). [arXiv:1903.10890 [hep-th]] · Zbl 1421.81136 · doi:10.1007/JHEP08(2019)016 |
| [13] | T. Bargheer, V. Chestnov, V. Schomerus, JHEP 05, 002 (2020). [arXiv:1906.00990 [hep-th]] · Zbl 1437.81087 · doi:10.1007/JHEP05(2020)002 |
| [14] | V. Del Duca, S. Druc, J.M. Drummond, C. Duhr, F. Dulat, R. Marzucca, G. Papathanasiou, B. Verbeek, Phys. Rev. Lett. 124(16), 161602 (2020). [arXiv:1912.00188 [hep-th]] |
| [15] | S. Caron-Huot, L.J. Dixon, J.M. Drummond, F. Dulat, J. Foster, Ö. Gürdoğan, M. von Hippel, A.J. McLeod, G. Papathanasiou, PoS CORFU2019, 003 (2020). [arXiv:2005.06735 [hep-th]] |
| [16] | B. Basso, L.J. Dixon, G. Papathanasiou, Phys. Rev. Lett. 124(16), 161603 (2020). [arXiv:2001.05460 [hep-th]] |
| [17] | L.N. Lipatov, J. Phys. A 42, 304020 (2009). [arXiv:0902.1444 [hep-th]] · Zbl 1176.81062 · doi:10.1088/1751-8113/42/30/304020 |
| [18] | L.N. Lipatov, A. Prygarin, Phys. Rev. D 83, 125001 (2011). [arXiv:1011.2673 [hep-th]] · doi:10.1103/PhysRevD.83.125001 |
| [19] | J. Bartels, L.N. Lipatov, A. Prygarin, Phys. Lett. B 705, 507-512 (2011). [arXiv:1012.3178 [hep-th]] |
| [20] | M. Sprenger, JHEP 01, 035 (2017). https://doi.org/10.1007/JHEP01(2017)035. [arXiv:1610.07640 [hep-th]] · Zbl 1373.81339 · doi:10.1007/JHEP01(2017)035 |
| [21] | J. Bartels (2020). [arXiv:2005.08818 [hep-th]] |
| [22] | T. Bargheer, J. Bartels, in preparation |
| [23] | L.N. Lipatov, Theor. Math. Phys. 170, 166 (2012) [arXiv:1008.1015 [hep-th]] |
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