Highenergy amplitudes in N = 4 SYM in the nexttoleading order
Abstract
In this study, the highenergy behavior of the N = 4 SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the highenergy operator expansion in Wilson lines. At large $$N_c$$, a typical fourpoint amplitude is determined by a single BFKL pomeron. The conformal structure of the fourpoint 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 Wilsonline 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:

 Ecole Polytechnique, Palaiseau (France); Univ. ParisSud, Orsay (France)
 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):
 JLABTHY091110; arXiv:0911.5192; DOE/OR/231771047
Journal ID: ISSN 03702693; PYLBAJ; TRN: US1004598
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics Letters B
 Additional Journal Information:
 Journal Volume: 687; Related Information: Also published in Int.J.Mod.Phys.A25:401410,2010, 10.1142/S0217751X10048706, January 2010; Journal ID: ISSN 03702693
 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. Highenergy amplitudes in N = 4 SYM in the nexttoleading order. United States: N. p., 2010.
Web. doi:10.1016/j.physletb.2010.02.084.
Chirilli, Giovanni, & Balitsky, Ian. Highenergy amplitudes in N = 4 SYM in the nexttoleading order. United States. doi:10.1016/j.physletb.2010.02.084.
Chirilli, Giovanni, and Balitsky, Ian. Tue .
"Highenergy amplitudes in N = 4 SYM in the nexttoleading order". United States. doi:10.1016/j.physletb.2010.02.084. https://www.osti.gov/servlets/purl/983654.
@article{osti_983654,
title = {Highenergy amplitudes in N = 4 SYM in the nexttoleading order},
author = {Chirilli, Giovanni and Balitsky, Ian},
abstractNote = {In this study, the highenergy behavior of the N = 4 SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the highenergy operator expansion in Wilson lines. At large $N_c$, a typical fourpoint amplitude is determined by a single BFKL pomeron. The conformal structure of the fourpoint 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 Wilsonline 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}
}
Web of Science
Works referencing / citing this record:
Solution of the NLO BFKL equation and a strategy for solving the allorder BFKL equation
journal, June 2013
 Chirilli, Giovanni A.; Kovchegov, Yuri V.
 Journal of High Energy Physics, Vol. 2013, Issue 6
The γ * γ * total cross section in nexttoleading order BFKL and LEP2 data
journal, October 2014
 Ivanov, D. Yu.; Murdaca, B.; Papa, A.
 Journal of High Energy Physics, Vol. 2014, Issue 10
The nonAbelian 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
Conformal Regge theory
journal, December 2012
 Costa, Miguel S.; Goncalves, Vasco; Penedones, João
 Journal of High Energy Physics, Vol. 2012, Issue 12
Photon impact factor in the nexttoleading order
journal, February 2011
 Balitsky, Ian; Chirilli, Giovanni A.
 Physical Review D, Vol. 83, Issue 3
Numerical solution of the nonlinear evolution equation at small $x$ with impact parameter and beyond the leading logarithmic approximation
journal, February 2011
 Berger, Jeffrey; Staśto, Anna M.
 Physical Review D, Vol. 83, Issue 3
Photon impact factor and ${k}_{T}$ factorization for DIS in the nexttoleading order
journal, January 2013
 Balitsky, Ian; Chirilli, Giovanni A.
 Physical Review D, Vol. 87, Issue 1