### Abstract

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent expansion of these integrals in two different ways, with the method of Mellin-Barnes representations and sector decomposition. Finally, we present the Laurent-expansion of the full insertion operator for the specific examples of electron-positron annihilation into two and three jets.

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

Article number | 059 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- Jets
- QCD

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**A subtraction scheme for computing QCD jet cross sections at NNLO : Integrating the iterated singly-unresolved subtraction terms.** / Bolzoni, Paolo; Somogyi, Gábor; Trócsányi, Z.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2011, no. 1, 059. https://doi.org/10.1007/JHEP01(2011)059

}

TY - JOUR

T1 - A subtraction scheme for computing QCD jet cross sections at NNLO

T2 - Integrating the iterated singly-unresolved subtraction terms

AU - Bolzoni, Paolo

AU - Somogyi, Gábor

AU - Trócsányi, Z.

PY - 2011

Y1 - 2011

N2 - We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent expansion of these integrals in two different ways, with the method of Mellin-Barnes representations and sector decomposition. Finally, we present the Laurent-expansion of the full insertion operator for the specific examples of electron-positron annihilation into two and three jets.

AB - We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent expansion of these integrals in two different ways, with the method of Mellin-Barnes representations and sector decomposition. Finally, we present the Laurent-expansion of the full insertion operator for the specific examples of electron-positron annihilation into two and three jets.

KW - Jets

KW - QCD

UR - http://www.scopus.com/inward/record.url?scp=80053148607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053148607&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2011)059

DO - 10.1007/JHEP01(2011)059

M3 - Article

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 059

ER -