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

Chirilli, Giovanni; Balitsky, Ian

doi:10.1016/j.physletb.2010.02.084

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

Journal Article · 16 March 2010 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2010.02.084 · OSTI ID:983654

Chirilli, Giovanni ^[1]; Balitsky, Ian ^[2]

Ecole Polytechnique, Palaiseau (France); Univ. Paris-Sud, Orsay (France)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 983654

Report Number(s):: JLAB-THY--09-1110; arXiv:0911.5192; DOE/OR/23177--1047

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 687; ISSN PYLBAJ; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Quark contribution to the small- x evolution of color dipole Balitsky, Ian Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/physrevd.75.014001	journal	January 2007
Next-to-leading order evolution of color dipoles Balitsky, Ian; Chirilli, Giovanni A. Physical Review D, Vol. 77, Issue 1 https://doi.org/10.1103/physrevd.77.014019	journal	January 2008
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DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory Kotikov, A. V.; Lipatov, L. N. arXiv https://doi.org/10.48550/arxiv.hep-ph/0208220	text	January 2002
Scattering of color dipoles: from low to high energies Babansky, Alexander; Balitsky, Ian arXiv https://doi.org/10.48550/arxiv.hep-ph/0212075	text	January 2002
Triumvirate of Running Couplings in Small-x Evolution Kovchegov, Yuri V.; Weigert, Heribert arXiv https://doi.org/10.48550/arxiv.hep-ph/0609090	text	January 2006
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Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes Mueller, A. H.; Patel, Bimal arXiv https://doi.org/10.48550/arxiv.hep-ph/9403256	text	January 1994
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Small-x physics in perturbative QCD Lipatov, L. N. arXiv https://doi.org/10.48550/arxiv.hep-ph/9610276	text	January 1996
Operator Expansion for Diffractive High-Energy Scattering Balitsky, Ian arXiv https://doi.org/10.48550/arxiv.hep-ph/9706411	text	January 1997
The triple-pomeron regime and structure function of the pomeron in diffractive deep inelastic scattering at very smallx Nikolaev, N. N.; Zakharov, B. G. Zeitschrift für Physik C Particles and Fields, Vol. 64, Issue 4 https://doi.org/10.1007/BF01957772	journal	December 1994
On the pomeranchuk singularity in asymptotically free theories Fadin, V. S.; Kuraev, E. A.; Lipatov, L. N. Physics Letters B, Vol. 60, Issue 1 https://doi.org/10.1016/0370-2693(75)90524-9	journal	December 1975
On determination of the large- gluon distribution at HERA Nikolaev, N. N.; Zakharov, B. G. Physics Letters B, Vol. 332, Issue 1-2 https://doi.org/10.1016/0370-2693(94)90877-X	journal	July 1994
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Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes Mueller, A. H.; Patel, Bimal Nuclear Physics B, Vol. 425, Issue 3 https://doi.org/10.1016/0550-3213(94)90284-4	journal	August 1994
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NLO evolution of color dipoles in N=4 SYM Balitsky, Ian; Chirilli, Giovanni A. Nuclear Physics B, Vol. 822, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2009.07.003	journal	November 2009
Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model Kotikov, A. V.; Lipatov, L. N.; Onishchenko, A. I. Physics Letters B, Vol. 595, Issue 1-4 https://doi.org/10.1016/j.physletb.2004.05.078	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] Kotikov, A. V.; Lipatov, L. N.; Onishchenko, A. I. Physics Letters B, Vol. 632, Issue 5-6 https://doi.org/10.1016/j.physletb.2005.11.002	journal	January 2006
NLO inclusive jet production in k _T -factorization Bartels, Jochen; Vera, Agustin Sabio; Schwennsen, Florian Journal of High Energy Physics, Vol. 2006, Issue 11 https://doi.org/10.1088/1126-6708/2006/11/051	journal	November 2006
The Pomeron and gauge/string duality Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J. Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/005	journal	December 2007
Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/048	journal	June 2008
Factorization and high-energy effective action Balitsky, Ian Physical Review D, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevD.60.014020	journal	June 1999
Scattering of color dipoles: From low to high energies Babansky, Alexander; Balitsky, Ian Physical Review D, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevD.67.054026	journal	March 2003
Next-to-leading-order corrections to the γ * impact factor: First numerical results for the real corrections to γ L * Bartels, J.; Kyrieleis, A. Physical Review D, Vol. 70, Issue 11 https://doi.org/10.1103/PhysRevD.70.114003	journal	December 2004
Quark contribution to the small- x evolution of color dipole Balitsky, Ian Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014001	journal	January 2007
Next-to-leading order evolution of color dipoles Balitsky, Ian; Chirilli, Giovanni A. Physical Review D, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevD.77.014019	journal	January 2008
Conformal kernel for the next-to-leading-order BFKL equation in N = 4 super Yang-Mills theory Balitsky, Ian; Chirilli, Giovanni A. Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.031502	journal	February 2009
Factorization for High-Energy Scattering Balitsky, I. Physical Review Letters, Vol. 81, Issue 10 https://doi.org/10.1103/PhysRevLett.81.2024	journal	September 1998
BFKL resummation effects in the γ * γ * total hadronic cross section Caporale, F.; Ivanov, D. Y.; Papa, A. The European Physical Journal C, Vol. 58, Issue 1 https://doi.org/10.1140/epjc/s10052-008-0732-1	journal	October 2008

Cited By (11)

Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation Chirilli, Giovanni A.; Kovchegov, Yuri V. Journal of High Energy Physics, Vol. 2013, Issue 6 https://doi.org/10.1007/jhep06(2013)055	journal	June 2013
The non-Abelian exponentiation theorem for multiple Wilson lines Gardi, Einan; Smillie, Jennifer M.; White, Chris D. Journal of High Energy Physics, Vol. 2013, Issue 6 https://doi.org/10.1007/jhep06(2013)088	journal	June 2013
The γ * γ * total cross section in next-to-leading order BFKL and LEP2 data Ivanov, D. Yu.; Murdaca, B.; Papa, A. Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/jhep10(2014)058	journal	October 2014
Conformal Regge theory Costa, Miguel S.; Goncalves, Vasco; Penedones, João Journal of High Energy Physics, Vol. 2012, Issue 12 https://doi.org/10.1007/jhep12(2012)091	journal	December 2012
Photon impact factor in the next-to-leading order Balitsky, Ian; Chirilli, Giovanni A. Physical Review D, Vol. 83, Issue 3 https://doi.org/10.1103/physrevd.83.031502	journal	February 2011
Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the leading logarithmic approximation Berger, Jeffrey; Staśto, Anna M. Physical Review D, Vol. 83, Issue 3 https://doi.org/10.1103/physrevd.83.034015	journal	February 2011
Photon impact factor and k T factorization for DIS in the next-to-leading order Balitsky, Ian; Chirilli, Giovanni A. Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/physrevd.87.014013	journal	January 2013
Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order Balitsky, Ian; Chirilli, Giovanni A. arXiv https://doi.org/10.48550/arxiv.1207.3844	text	January 2012
Conformal Regge theory Costa, Miguel S.; Goncalves, Vasco; Penedones, Joao arXiv https://doi.org/10.48550/arxiv.1209.4355	text	January 2012
The Non-Abelian Exponentiation theorem for multiple Wilson lines Gardi, Einan; Smillie, Jennifer M.; White, Chris D. arXiv https://doi.org/10.48550/arxiv.1304.7040	text	January 2013
Solution of the NLO BFKL Equation and a Strategy for Solving the All-Order BFKL Equation Chirilli, Giovanni A.; Kovchegov, Yuri V. arXiv https://doi.org/10.48550/arxiv.1305.1924	text	January 2013

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Title: High-energy amplitudes in N = 4 SYM in the next-to-leading order

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