## 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:

- 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:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

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

- 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. Section 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. doi: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. doi: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. Section B},

number = ,

volume = 687,

place = {United States},

year = {2010},

month = {3}

}

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