The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit

Del Duca, Vittorio; Dixon, Lance J.

doi:10.1088/1751-8121/ac845c

The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit

Journal Article · Wed Nov 30 00:00:00 EST 2022 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/ac845c· OSTI ID:1958312

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Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland); Univ. of Zurich (Switzerland); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States); SLAC
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)

We review the Regge and multi-Regge limit of scattering amplitudes in gauge theory, focusing on QCD and its maximally supersymmetric cousin, planar $$\mathcal{N}=4$$ super-Yang–Mills theory. We identify the large logarithms that are developed in these limits, and the progress that has been made in resumming them, towards next-to-next-to-leading logarithms for BFKL evolution in QCD, as well as all-orders proposals in planar $$\mathcal{N}=4$$ super-Yang–Mills theory and the perturbative checks of those proposals. We also cover the application of single-valued multiple polylogarithms to this important kinematical limit of particle scattering.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: European Union’s Horizon 2020 Research and Innovation Programme; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1958312

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 44 Vol. 55; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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