TY - JOUR
T1 - Three-Loop Gluon Scattering in QCD and the Gluon Regge Trajectory
AU - Caola, Fabrizio
AU - Chakraborty, Amlan
AU - Gambuti, Giulio
AU - Von Manteuffel, Andreas
AU - Tancredi, Lorenzo
N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2022/5/27
Y1 - 2022/5/27
N2 - We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep the computational complexity under control. We obtain relatively compact results that can be expressed in terms of harmonic polylogarithms. In addition, we consider the Regge limit of our amplitude and extract the gluon Regge trajectory in full three-loop QCD. This is the last missing ingredient required for studying single-Reggeon exchanges at next-to-next-to-leading logarithmic accuracy.
AB - We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep the computational complexity under control. We obtain relatively compact results that can be expressed in terms of harmonic polylogarithms. In addition, we consider the Regge limit of our amplitude and extract the gluon Regge trajectory in full three-loop QCD. This is the last missing ingredient required for studying single-Reggeon exchanges at next-to-next-to-leading logarithmic accuracy.
UR - http://www.scopus.com/inward/record.url?scp=85131294256&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.128.212001
DO - 10.1103/PhysRevLett.128.212001
M3 - Article
C2 - 35687450
AN - SCOPUS:85131294256
SN - 0031-9007
VL - 128
JO - Physical Review Letters
JF - Physical Review Letters
IS - 21
M1 - 212001
ER -