Fermionic Glauber operators and quark reggeization
Abstract
We derive, in the framework of softcollinear effective field theory (SCET), a Lagrangian describing the tchannel exchange of Glauber quarks in the Regge limit. The Glauber quarks are not dynamical, but are incorporated through nonlocal fermionic potential operators. These operators are power suppressed in t/s relative to those describing Glauber gluon exchange, but give the first nonvanishing contributions in the Regge limit to processes such as $$q\overline{q}$$→ $gg$ and $$q\overline{q}$$→$$γγ$. They therefore represent an interesting subset of power corrections to study. The structure of the operators, which describe certain soft and collinear emissions to all orders through Wilson lines, is derived from the symmetries of the effective theory combined with constraints from power and mass dimension counting, as well as through explicit matching calculations. Lightcone singularities in the fermionic potentials are regulated using a rapidity regulator, whose corresponding renormalization group evolution gives rise to the Reggeization of the quark at the amplitude level and the BFKL equation at the cross section level. We verify this at oneloop, deriving the Regge trajectory of the quark in the 3 color channel, as well as the leading logarithmic BFKL equation. Results in the $$\overline{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.
 Authors:

 Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Institute for Theoretical Physics
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
 Publication Date:
 Research Org.:
 Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
 OSTI Identifier:
 1485078
 Alternate Identifier(s):
 OSTI ID: 1600501
 Grant/Contract Number:
 AC0205CH11231; SCD011090; SC0011632; SC0011090
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; perturbative QCD; resummation
Citation Formats
Moult, Ian, Solon, Mikhail P., Stewart, Iain W., and Vita, Gherardo. Fermionic Glauber operators and quark reggeization. United States: N. p., 2018.
Web. doi:10.1007/jhep02(2018)134.
Moult, Ian, Solon, Mikhail P., Stewart, Iain W., & Vita, Gherardo. Fermionic Glauber operators and quark reggeization. United States. https://doi.org/10.1007/jhep02(2018)134
Moult, Ian, Solon, Mikhail P., Stewart, Iain W., and Vita, Gherardo. Wed .
"Fermionic Glauber operators and quark reggeization". United States. https://doi.org/10.1007/jhep02(2018)134. https://www.osti.gov/servlets/purl/1485078.
@article{osti_1485078,
title = {Fermionic Glauber operators and quark reggeization},
author = {Moult, Ian and Solon, Mikhail P. and Stewart, Iain W. and Vita, Gherardo},
abstractNote = {We derive, in the framework of softcollinear effective field theory (SCET), a Lagrangian describing the tchannel exchange of Glauber quarks in the Regge limit. The Glauber quarks are not dynamical, but are incorporated through nonlocal fermionic potential operators. These operators are power suppressed in t/s relative to those describing Glauber gluon exchange, but give the first nonvanishing contributions in the Regge limit to processes such as $q\overline{q}$→ $gg$ and $q\overline{q}$→$γγ$. 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 oneloop, deriving the Regge trajectory of the quark in the 3 color channel, as well as the leading logarithmic BFKL equation. Results in the $\overline{6}$ 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.},
doi = {10.1007/jhep02(2018)134},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
Figures / Tables:
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 Fadin, V. S.; Fiore, R.; Kotsky, M. I.
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Works referencing / citing this record:
Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders
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 CaronHuot, Simon; Gardi, Einan; Reichel, Joscha
 Journal of High Energy Physics, Vol. 2018, Issue 3
Resummed photon spectra for WIMP annihilation
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First subleading power resummation for event shapes
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Figures / Tables found in this record: