### Abstract

We present a method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the complete set of two-loop corrections to the off-diagonal elements of the anomalous dimension matrix (the diagonal ones are known from deep inelastic scattering calculations) of the parity-odd and parity-even singlet local operators in the Abelian gauge theory. We reconstruct corresponding exclusive two-loop evolution kernels and give the reduction formulae for the restoration of the diagonal part of the ER-BL kernels from the DGLAP splitting functions.

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

Pages (from-to) | 207-234 |

Number of pages | 28 |

Journal | Nuclear Physics B |

Volume | 527 |

Issue number | 1-2 |

State | Published - Aug 31 1998 |

Externally published | Yes |

### Fingerprint

### Keywords

- Anomalous dimensions
- Conformal anomalies
- Conformal Ward identities
- Evolution equations

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*527*(1-2), 207-234.

**Next-to-leading order evolution of twist-two conformal operators : The Abelian case.** / Belitsky, Andrei; Müller, D.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 527, no. 1-2, pp. 207-234.

}

TY - JOUR

T1 - Next-to-leading order evolution of twist-two conformal operators

T2 - The Abelian case

AU - Belitsky, Andrei

AU - Müller, D.

PY - 1998/8/31

Y1 - 1998/8/31

N2 - We present a method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the complete set of two-loop corrections to the off-diagonal elements of the anomalous dimension matrix (the diagonal ones are known from deep inelastic scattering calculations) of the parity-odd and parity-even singlet local operators in the Abelian gauge theory. We reconstruct corresponding exclusive two-loop evolution kernels and give the reduction formulae for the restoration of the diagonal part of the ER-BL kernels from the DGLAP splitting functions.

AB - We present a method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the complete set of two-loop corrections to the off-diagonal elements of the anomalous dimension matrix (the diagonal ones are known from deep inelastic scattering calculations) of the parity-odd and parity-even singlet local operators in the Abelian gauge theory. We reconstruct corresponding exclusive two-loop evolution kernels and give the reduction formulae for the restoration of the diagonal part of the ER-BL kernels from the DGLAP splitting functions.

KW - Anomalous dimensions

KW - Conformal anomalies

KW - Conformal Ward identities

KW - Evolution equations

UR - http://www.scopus.com/inward/record.url?scp=0032584867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032584867&partnerID=8YFLogxK

M3 - Article

VL - 527

SP - 207

EP - 234

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -