Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders

Falcioni, Giulio; Gardi, Einan; Maher, Niamh; Milloy, Calum; Vernazza, Leonardo

doi:10.21468/SciPostPhysProc.7.007

SciPost Physics Proceedings

Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders

G. Falcioni, E. Gardi, N. Maher, C. Milloy, L. Vernazza

SciPost Phys. Proc. 7, 007 (2022) · published 20 June 2022

doi: 10.21468/SciPostPhysProc.7.007
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15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology

Abstract

We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. We then focus on our recent results regarding 2 -> 2 parton scattering. We present the calculation of the imaginary part of the amplitude, at next-to-leading logarithmic accuracy in the high-energy logarithms, formally to all orders, and in practice to 13 loops. We then discuss the computation of the real part of the amplitude at next-to-next-to-leading logarithmic accuracy and through four loops. Both computations are carried in full colour, and provide new insight into the analytic structure of scattering amplitudes and their infrared singularity structure.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.7.007
TI  - Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders
PY  - 2022/06/20
UR  - https://www.scipost.org/SciPostPhysProc.7.007
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 7
SP  - 007
A1  - Falcioni, Giulio
AU  - Gardi, Einan
AU  - Maher, Niamh
AU  - Milloy, Calum
AU  - Vernazza, Leonardo
AB  - We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. We then focus on our recent results regarding 2 -> 2 parton scattering. We present the calculation of the imaginary part of the amplitude, at next-to-leading logarithmic accuracy in the high-energy logarithms, formally to all orders, and in practice to 13 loops. We then discuss the computation of the real part of the amplitude at next-to-next-to-leading logarithmic accuracy and through four loops. Both computations are carried in full colour, and provide new insight into the analytic structure of scattering amplitudes and their infrared singularity structure.
ER  -

@Article{10.21468/SciPostPhysProc.7.007,
	title={{Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders}},
	author={G. Falcioni and E. Gardi and N. Maher and C. Milloy and L. Vernazza},
	journal={SciPost Phys. Proc.},
	pages={007},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.7.007},
	url={https://scipost.org/10.21468/SciPostPhysProc.7.007},
}

Cited by 4

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Giulio Falcioni,
¹ Einan Gardi,
¹ Niamh Maher,
² Calum Milloy,
² ³ Leonardo Vernazza

Funders for the research work leading to this publication

European Research Council [ERC]
Horizon 2020 (through Organization: European Commission [EC])
Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])
Science and Technology Facilities Council [STFC]