We consider the production of a generic system of non-strongly interacting particles with a high total invariant mass M in hadron collisions. We examine the transverse-momentum (q) distribution of the system in the small-q region (q≪M), and we present a study of the perturbative QCD contributions that are enhanced by powers of large logarithmic terms of the type ln(M2/qT2). These terms can be resummed to all orders in QCD perturbation theory. The partonic production mechanism of the final-state system can be controlled by quark-antiquark (qq¯) annihilation and/or by gluon fusion. The resummation formalism for the qq¯ annihilation subprocess is well established, and it is usually extrapolated to the gluon fusion subprocess. We point out that this naïve extrapolation is not correct, and we present the all-order resummation formula for the q distribution in gluon fusion processes. The gluon fusion resummation formula has a richer structure than the resummation formula in qq¯ annihilation. The additional structure originates from collinear correlations that are a specific feature of the evolution of the colliding hadrons into gluon partonic states. In the q cross section at small values of q, these gluon collinear correlations produce coherent spin correlations between the helicity states of the initial-state gluons and definite azimuthal-angle correlations between the final-state particles of the observed high-mass system.

Catani, S; Grazzini, M (2011). *QCD transverse-momentum resummation in gluon fusion processes.* Nuclear Physics B - Proceedings Supplements, 845(3):297-323.

## Abstract

We consider the production of a generic system of non-strongly interacting particles with a high total invariant mass M in hadron collisions. We examine the transverse-momentum (q) distribution of the system in the small-q region (q≪M), and we present a study of the perturbative QCD contributions that are enhanced by powers of large logarithmic terms of the type ln(M2/qT2). These terms can be resummed to all orders in QCD perturbation theory. The partonic production mechanism of the final-state system can be controlled by quark-antiquark (qq¯) annihilation and/or by gluon fusion. The resummation formalism for the qq¯ annihilation subprocess is well established, and it is usually extrapolated to the gluon fusion subprocess. We point out that this naïve extrapolation is not correct, and we present the all-order resummation formula for the q distribution in gluon fusion processes. The gluon fusion resummation formula has a richer structure than the resummation formula in qq¯ annihilation. The additional structure originates from collinear correlations that are a specific feature of the evolution of the colliding hadrons into gluon partonic states. In the q cross section at small values of q, these gluon collinear correlations produce coherent spin correlations between the helicity states of the initial-state gluons and definite azimuthal-angle correlations between the final-state particles of the observed high-mass system.

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## Additional indexing

Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Physics Institute |

Dewey Decimal Classification: | 530 Physics |

Language: | English |

Date: | April 2011 |

Deposited On: | 19 Feb 2012 17:37 |

Last Modified: | 05 Apr 2016 15:20 |

Publisher: | Elsevier |

ISSN: | 0920-5632 (P) 1873-3832 (E) |

Publisher DOI: | https://doi.org/10.1016/j.nuclphysb.2010.12.007 |

Related URLs: | http://arxiv.org/abs/1011.3918 |

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