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Fermionic Glauber Operators and Quark Reggeization

Moult, Ian and Solon, Mikhail P. and Stewart, Iain W. and Vita, Gherardo (2018) Fermionic Glauber Operators and Quark Reggeization. Journal of High Energy Physics, 2018 (2). Art. No. 134. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20170928-112436149

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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 qq → gg and qq → 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 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP02(2018)134DOIArticle
https://link.springer.com/article/10.1007%2FJHEP02%282018%29134PublisherArticle
http://arxiv.org/abs/1709.09174arXivDiscussion Paper
Additional Information:© 2018 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 16, 2017; Revised: January 24, 2018; Accepted: February 12, 2018; Published: February 21, 2018. We thank Duff Neill, Ira Rothstein, and HuaXing Zhu for useful discussions. This work was supported in part by the Office of Nuclear Physics of the U.S. Department of Energy under the Grant No. DE-SCD011090, by the Office of High Energy Physics of the U.S. Department of Energy under Contract Numbers DE-AC02-05CH11231 and DE-SC0011632, and the LDRD Program of LBNL. I.S. was also supported in part by the Simons Foundation through the Investigator grant 327942.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SCD011090
Department of Energy (DOE)DE-AC02-05CH11231
Department of Energy (DOE)DE-SC0011632
Lawrence Berkeley National LaboratoryUNSPECIFIED
Simons Foundation327942
SCOAP3UNSPECIFIED
Subject Keywords:Effective Field Theories; Perturbative QCD; Resummation
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-055
Issue or Number:2
Record Number:CaltechAUTHORS:20170928-112436149
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170928-112436149
Official Citation:Moult, I., Solon, M.P., Stewart, I.W. et al. J. High Energ. Phys. (2018) 2018: 134. https://doi.org/10.1007/JHEP02(2018)134
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81899
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:28 Sep 2017 18:33
Last Modified:03 Oct 2019 18:48

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