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Title: Fermionic Glauber operators and quark reggeization

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 $$q\overline{q}$$→ $gg$ and $$q\overline{q}$$→$$γγ$. They therefore represent an interesting subset of power corrections to study. The structure of the operators, which describe certain soft and collinear emissions to all orders through Wilson lines, is derived from the symmetries of the effective theory combined with constraints from power and mass dimension counting, as well as through explicit matching calculations. Lightcone singularities in the fermionic potentials are regulated using a rapidity regulator, whose corresponding renormalization group evolution gives rise to the Reggeization of the quark at the amplitude level and the BFKL equation at the cross section level. We verify this at one-loop, deriving the Regge trajectory of the quark in the 3 color channel, as well as the leading logarithmic BFKL equation. Results in the $$\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:
 [1];  [2];  [3]; ORCiD logo [3]
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  1. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Institute for Theoretical Physics
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (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:  
AC02-05CH11231; 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 1029-8479
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.
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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
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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.
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@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 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 $q\overline{q}$→ $gg$ 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 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 $\overline{6}$ 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}
}
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Journal Article:
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https://doi.org/10.1007/jhep02(2018)134
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Cited by: 19 works
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Figures / Tables:

Figure 1 Figure 1: Feynman rules for tree level qg forward scattering with zero, one and two soft gluon emissions, generated by the soft operator Os. Soft emissions at higher orders in s are also produced by Os.
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journal, February 2002

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text, January 2011

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text, January 2011

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text, January 2014

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text, January 2014

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text, January 2016

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text, January 2016

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preprint, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2017

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text, January 2017

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text, January 2000

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text, January 2000

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text, January 2000

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text, January 2001

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text, January 2001

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text, January 2001

Soft-Collinear Factorization in Effective Field Theory
text, January 2001

Hard Scattering Factorization from Effective Field Theory
text, January 2002

A proof of the reggeized form of amplitudes with quark exchanges
text, January 2006

Evolution equation for gluon Regge trajectory
text, January 1996

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    Works referencing / citing this record:

    Subleading Power Rapidity Divergences and Power Corrections for $q_T$
    text, January 2019

    • Ebert, Markus A.; Moult, Ian; Stewart, Iain W.
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02279

    Subleading Power Rapidity Divergences and Power Corrections for $q_T$
    text, January 2018

    • Ebert, Markus A.; Moult, Ian; Stewart, Iain W.
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-00610

    Resummed Photon Spectra for WIMP Annihilation
    text, January 2017

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