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

doi:10.1016/j.physletb.2010.02.084

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:

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)

Publication Date:: 2010-03-16

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.

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                    Chirilli, Giovanni, & Balitsky, Ian. High-energy amplitudes in N = 4 SYM in the next-to-leading order.  United States.  doi:10.1016/j.physletb.2010.02.084.

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                    Chirilli, Giovanni, and Balitsky, Ian. Tue .  
        "High-energy amplitudes in N = 4 SYM in the next-to-leading order".  United States.  doi:10.1016/j.physletb.2010.02.084.  https://www.osti.gov/servlets/purl/983654.

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@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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DOI: 10.1016/j.physletb.2010.02.084

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Works referencing / citing this record:

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 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

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

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

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

Balitsky, Ian; Chirilli, Giovanni A.
Physical Review D, Vol. 83, Issue 3
DOI: 10.1103/physrevd.83.031502

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
DOI: 10.1103/physrevd.83.034015

Photon impact factor and $k_{T}$ factorization for DIS in the next-to-leading order
journal, January 2013

Balitsky, Ian; Chirilli, Giovanni A.
Physical Review D, Vol. 87, Issue 1
DOI: 10.1103/physrevd.87.014013

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

Abstract

Citation Formats

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journal, January 2013