# DVCS amplitude with kinematical twist-3 terms

## Abstract

The authors compute the amplitude of deeply virtual Compton scattering (DVCS) using the calculus of QCD string operators in coordinate representation. To restore the electromagnetic gauge invariance (transversality) of the twist-2 amplitude they include the operators of twist-3 which appear as total derivatives of twist-2 operators. The results are equivalent to a Wandzura-Wilczek approximation for twist-3 skewed parton distributions. They find that this approximation gives a finite result for the amplitude of a longitudinally polarized virtual photon, while the amplitude for transverse polarization is divergent, i.e., factorization breaks down in this term.

- Authors:

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)

- OSTI Identifier:
- 760439

- Report Number(s):
- JLAB-THY-00-29; DOE/ER/40150-1742; hep-ph/0008214; RUB-TPII-14/00

TRN: US0100884

- DOE Contract Number:
- AC05-84ER40150

- Resource Type:
- Journal Article

- Journal Name:
- Phys.Lett.B493:332-340,2000

- Additional Journal Information:
- Journal Volume: B; Journal Issue: 493; Other Information: Submitted to Phys.Lett.B493:332-340,2000; PBD: 1 Aug 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; COMPTON EFFECT; FACTORIZATION; GAUGE INVARIANCE; PARTONS; POLARIZATION; QUANTUM CHROMODYNAMICS

### Citation Formats

```
Radyushkin, A V, and Weiss, C.
```*DVCS amplitude with kinematical twist-3 terms*. United States: N. p., 2000.
Web. doi:10.1016/S0370-2693(00)01155-2.

```
Radyushkin, A V, & Weiss, C.
```*DVCS amplitude with kinematical twist-3 terms*. United States. doi:10.1016/S0370-2693(00)01155-2.

```
Radyushkin, A V, and Weiss, C. Tue .
"DVCS amplitude with kinematical twist-3 terms". United States. doi:10.1016/S0370-2693(00)01155-2. https://www.osti.gov/servlets/purl/760439.
```

```
@article{osti_760439,
```

title = {DVCS amplitude with kinematical twist-3 terms},

author = {Radyushkin, A V and Weiss, C},

abstractNote = {The authors compute the amplitude of deeply virtual Compton scattering (DVCS) using the calculus of QCD string operators in coordinate representation. To restore the electromagnetic gauge invariance (transversality) of the twist-2 amplitude they include the operators of twist-3 which appear as total derivatives of twist-2 operators. The results are equivalent to a Wandzura-Wilczek approximation for twist-3 skewed parton distributions. They find that this approximation gives a finite result for the amplitude of a longitudinally polarized virtual photon, while the amplitude for transverse polarization is divergent, i.e., factorization breaks down in this term.},

doi = {10.1016/S0370-2693(00)01155-2},

journal = {Phys.Lett.B493:332-340,2000},

number = 493,

volume = B,

place = {United States},

year = {2000},

month = {8}

}

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