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Title: High-energy amplitudes in N = 4 SYM in the next-to-leading order

Abstract

In this study, the high-energy behavior of the N = 4 SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large $$N_c$$, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two orders in coupling constant: BFKL intercept and NLO BFKL intercept calculated in Ref. 1. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four $Z^2$ currents in the first two orders in perturbation theory.

Authors:
 [1];  [2]
  1. Ecole Polytechnique, Palaiseau (France); Univ. Paris-Sud, Orsay (France)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
983654
Report Number(s):
JLAB-THY-09-1110; arXiv:0911.5192; DOE/OR/23177-1047
Journal ID: ISSN 0370-2693; PYLBAJ; TRN: US1004598
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Volume: 687; Related Information: Also published in Int.J.Mod.Phys.A25:401-410,2010, 10.1142/S0217751X10048706, January 2010; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; COUPLING CONSTANTS; PERTURBATION THEORY; POMERANCHUK PARTICLES; RESIDUES; pomeron; conformal invariance

Citation Formats

Chirilli, Giovanni, and Balitsky, Ian. High-energy amplitudes in N = 4 SYM in the next-to-leading order. United States: N. p., 2010. Web. doi:10.1016/j.physletb.2010.02.084.
Chirilli, Giovanni, & Balitsky, Ian. High-energy amplitudes in N = 4 SYM in the next-to-leading order. United States. https://doi.org/10.1016/j.physletb.2010.02.084
Chirilli, Giovanni, and Balitsky, Ian. Tue . "High-energy amplitudes in N = 4 SYM in the next-to-leading order". United States. https://doi.org/10.1016/j.physletb.2010.02.084. https://www.osti.gov/servlets/purl/983654.
@article{osti_983654,
title = {High-energy amplitudes in N = 4 SYM in the next-to-leading order},
author = {Chirilli, Giovanni and Balitsky, Ian},
abstractNote = {In this study, the high-energy behavior of the N = 4 SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large $N_c$, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two orders in coupling constant: BFKL intercept and NLO BFKL intercept calculated in Ref. 1. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four $Z^2$ currents in the first two orders in perturbation theory.},
doi = {10.1016/j.physletb.2010.02.084},
journal = {Physics Letters B},
number = ,
volume = 687,
place = {United States},
year = {2010},
month = {3}
}

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Works referenced in this record:

NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
journal, August 2000


DGLAP and BFKL equations in the N=4 supersymmetric gauge theory
journal, June 2003


Erratum to: “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory”
journal, May 2004


Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994


Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes
journal, August 1994


On determination of the large- gluon distribution at HERA
journal, July 1994


The triple-pomeron regime and structure function of the pomeron in diffractive deep inelastic scattering at very smallx
journal, December 1994

  • Nikolaev, N. N.; Zakharov, B. G.
  • Zeitschrift für Physik C Particles and Fields, Vol. 64, Issue 4
  • DOI: 10.1007/BF01957772

Operator expansion for high-energy scattering
journal, March 1996


Effective field theory for the small-x evolution
journal, October 2001


Factorization for High-Energy Scattering
journal, September 1998


Factorization and high-energy effective action
journal, June 1999


Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling
journal, June 2008


On the pomeranchuk singularity in asymptotically free theories
journal, December 1975


Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model
journal, August 2004


Erratum to: “Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang–Mills model” [Phys. Lett. B 595 (2004) 521]
journal, January 2006


The Pomeron and gauge/string duality
journal, December 2007

  • Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J.
  • Journal of High Energy Physics, Vol. 2007, Issue 12
  • DOI: 10.1088/1126-6708/2007/12/005

NLO evolution of color dipoles in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> SYM
journal, November 2009


Small-x physics in perturbative QCD
journal, July 1997


Next-to-leading order evolution of color dipoles
journal, January 2008


Conformal kernel for the next-to-leading-order BFKL equation in N = 4 super Yang-Mills theory
journal, February 2009


NLO inclusive jet production in k T -factorization
journal, November 2006

  • Bartels, Jochen; Vera, Agustin Sabio; Schwennsen, Florian
  • Journal of High Energy Physics, Vol. 2006, Issue 11
  • DOI: 10.1088/1126-6708/2006/11/051

BFKL resummation effects in the γ * γ * total hadronic cross section
journal, October 2008


Quark contribution to the small- x evolution of color dipole
journal, January 2007


Triumvirate of running couplings in small-x evolution
journal, March 2007


Scattering of color dipoles: From low to high energies
journal, March 2003


Works referencing / citing this record:

Photon impact factor and k T factorization for DIS in the next-to-leading order
journal, January 2013


Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation
journal, June 2013

  • Chirilli, Giovanni A.; Kovchegov, Yuri V.
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/jhep06(2013)055

The non-Abelian exponentiation theorem for multiple Wilson lines
journal, June 2013

  • Gardi, Einan; Smillie, Jennifer M.; White, Chris D.
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/jhep06(2013)088

The γ * γ * total cross section in next-to-leading order BFKL and LEP2 data
journal, October 2014

  • Ivanov, D. Yu.; Murdaca, B.; Papa, A.
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/jhep10(2014)058

Photon impact factor in the next-to-leading order
journal, February 2011


Conformal Regge theory
journal, December 2012

  • Costa, Miguel S.; Goncalves, Vasco; Penedones, João
  • Journal of High Energy Physics, Vol. 2012, Issue 12
  • DOI: 10.1007/jhep12(2012)091