### Abstract

One-loop corrections to the helicity amplitudes of all 2 → 2 subprocesses are calculated in QCD and in N = 1 supersymmetric Yang-Mills theory using two versions of dimensional regularization: the 't Hooft-Veltman scheme and dimensional reduction. Studying the structure of the soft and collinear singularities, we found universal transition rules for the squared matrix element which can be used to translate the results obtained in these schemes to the results valid in the conventional dimensional regularization scheme. With explicit calculation it is demonstrated that the one-loop helicity amplitudes of the 2 → 2 subprocesses calculated using dimensional reduction in the N = 1 supersymmetric SU(N) gauge theory respect the supersymmetry Ward identities. Our transition rules can also be used to calculate the next-to-leading order Altarelli-Parisi kernels in the dimensional reduction scheme when they satisfy supersymmetry Ward identities as well.

Original language | English |
---|---|

Pages (from-to) | 397-442 |

Number of pages | 46 |

Journal | Nuclear Physics B |

Volume | 411 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Jan 10 1994 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*411*(2-3), 397-442. https://doi.org/10.1016/0550-3213(94)90456-1

**One-loop helicity amplitudes for all 2 → 2 processes in QCD and N = 1 supersymmetric Yang-Mills theory.** / Kunszt, Zoltan; Signer, Adrian; Trócsányi, Z.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 411, no. 2-3, pp. 397-442. https://doi.org/10.1016/0550-3213(94)90456-1

}

TY - JOUR

T1 - One-loop helicity amplitudes for all 2 → 2 processes in QCD and N = 1 supersymmetric Yang-Mills theory

AU - Kunszt, Zoltan

AU - Signer, Adrian

AU - Trócsányi, Z.

PY - 1994/1/10

Y1 - 1994/1/10

N2 - One-loop corrections to the helicity amplitudes of all 2 → 2 subprocesses are calculated in QCD and in N = 1 supersymmetric Yang-Mills theory using two versions of dimensional regularization: the 't Hooft-Veltman scheme and dimensional reduction. Studying the structure of the soft and collinear singularities, we found universal transition rules for the squared matrix element which can be used to translate the results obtained in these schemes to the results valid in the conventional dimensional regularization scheme. With explicit calculation it is demonstrated that the one-loop helicity amplitudes of the 2 → 2 subprocesses calculated using dimensional reduction in the N = 1 supersymmetric SU(N) gauge theory respect the supersymmetry Ward identities. Our transition rules can also be used to calculate the next-to-leading order Altarelli-Parisi kernels in the dimensional reduction scheme when they satisfy supersymmetry Ward identities as well.

AB - One-loop corrections to the helicity amplitudes of all 2 → 2 subprocesses are calculated in QCD and in N = 1 supersymmetric Yang-Mills theory using two versions of dimensional regularization: the 't Hooft-Veltman scheme and dimensional reduction. Studying the structure of the soft and collinear singularities, we found universal transition rules for the squared matrix element which can be used to translate the results obtained in these schemes to the results valid in the conventional dimensional regularization scheme. With explicit calculation it is demonstrated that the one-loop helicity amplitudes of the 2 → 2 subprocesses calculated using dimensional reduction in the N = 1 supersymmetric SU(N) gauge theory respect the supersymmetry Ward identities. Our transition rules can also be used to calculate the next-to-leading order Altarelli-Parisi kernels in the dimensional reduction scheme when they satisfy supersymmetry Ward identities as well.

UR - http://www.scopus.com/inward/record.url?scp=4243586640&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243586640&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(94)90456-1

DO - 10.1016/0550-3213(94)90456-1

M3 - Article

VL - 411

SP - 397

EP - 442

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2-3

ER -