Fermionic Glauber operators and quark reggeization
Name
13130_2018_Article_7665.pdf
Size
1.14 MB
Format
Adobe PDF
Checksum (MD5)
92a15c022f9beaaa2c46c34aa708963d
Author(s)
Moult, Ian
Solon, Mikhail P.
Stewart, Iain W
Vita, Gherardo
Date Issued
February 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Moult, Ian, et al. “Fermionic Glauber Operators and Quark Reggeization.” Journal of High Energy Physics, vol. 2018, no. 2, Feb. 2018. © 2017 Springer International Publishing AG
Version
Final published version
Abstract
We derive, in the framework of soft-collinear effective field theory (SCET), a Lagrangian describing the t-channel exchange of Glauber quarks in the Regge limit. The Glauber quarks are not dynamical, but are incorporated through non-local fermionic potential operators. These operators are power suppressed in |t|/s relative to those describing Glauber gluon exchange, but give the first non-vanishing contributions in the Regge limit to processes such as q[bar over q] → gg and q[bar over q] → γγ. They therefore represent an interesting subset of power corrections to study. The structure of the operators, which describe certain soft and collinear emissions to all orders through Wilson lines, is derived from the symmetries of the effective theory combined with constraints from power and mass dimension counting, as well as through explicit matching calculations. Lightcone singularities in the fermionic potentials are regulated using a rapidity regulator, whose corresponding renormalization group evolution gives rise to the Reggeization of the quark at the amplitude level and the BFKL equation at the cross section level. We verify this at one-loop, deriving the Regge trajectory of the quark in the 3 color channel, as well as the leading logarithmic BFKL equation. Results in the [bar over 6] and 15 color channels are obtained by the simultaneous exchange of a Glauber quark and a Glauber gluon. SCET with quark and gluon Glauber operators therefore provides a framework to systematically study the structure of QCD amplitudes in the Regge limit, and derive constraints on higher order amplitudes.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP02(2018)134
