### Abstract

We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special conformal symmetry breaking part induced by the one-loop anomaly and conformal terms generated by forward next-to-leading order splitting functions, and thus avoids an explicit two-loop calculation. We demonstrate the formalism by applying it to the chiral odd and flavour singlet parity odd sectors.

Original language | English (US) |
---|---|

Pages (from-to) | 270-279 |

Number of pages | 10 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 461 |

Issue number | 3 |

State | Published - 1999 |

Externally published | Yes |

### Fingerprint

### Keywords

- Conformal constraints
- Evolution equation
- Two-loop exclusive kernels

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*461*(3), 270-279.

**Reconstruction of non-forward evolution kernels.** / Belitsky, Andrei; Müller, D.; Freund, A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 461, no. 3, pp. 270-279.

}

TY - JOUR

T1 - Reconstruction of non-forward evolution kernels

AU - Belitsky, Andrei

AU - Müller, D.

AU - Freund, A.

PY - 1999

Y1 - 1999

N2 - We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special conformal symmetry breaking part induced by the one-loop anomaly and conformal terms generated by forward next-to-leading order splitting functions, and thus avoids an explicit two-loop calculation. We demonstrate the formalism by applying it to the chiral odd and flavour singlet parity odd sectors.

AB - We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special conformal symmetry breaking part induced by the one-loop anomaly and conformal terms generated by forward next-to-leading order splitting functions, and thus avoids an explicit two-loop calculation. We demonstrate the formalism by applying it to the chiral odd and flavour singlet parity odd sectors.

KW - Conformal constraints

KW - Evolution equation

KW - Two-loop exclusive kernels

UR - http://www.scopus.com/inward/record.url?scp=0000732764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000732764&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000732764

VL - 461

SP - 270

EP - 279

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -