Transverse-momentum resummation for heavy-quark hadroproduction

We consider the production of a pair of heavy quarks (QQ¯) in hadronic collisions. When the transverse momentum qT of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all orders. This behavior...

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Main Authors: Stefano Catani, Massimiliano Grazzini, Alessandro Torre
Format: Article
Language:English
Published: Elsevier 2015-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314003630
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author Stefano Catani
Massimiliano Grazzini
Alessandro Torre
author_facet Stefano Catani
Massimiliano Grazzini
Alessandro Torre
author_sort Stefano Catani
collection DOAJ
description We consider the production of a pair of heavy quarks (QQ¯) in hadronic collisions. When the transverse momentum qT of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all orders. This behavior is well known from the simpler case of hadroproduction of colorless high-mass systems, such as vector or Higgs boson(s). In the case of QQ¯ production, the final-state heavy quarks carry color charge and are responsible for additional soft radiation (through direct emission and interferences with initial-state radiation) that complicates the evaluation of the logarithmically-enhanced terms in the small-qT region. We present the all-order resummation structure of the logarithmic contributions, which includes color flow evolution factors due to soft wide-angle radiation. Resummation is performed at the completely differential level with respect to the kinematical variables of the produced heavy quarks. Soft-parton radiation produces azimuthal correlations that are fully taken into account by the resummation formalism. These azimuthal correlations are entangled with those that are produced by initial-state collinear radiation. We present explicit analytical results up to next-to-leading order and next-to-next-to-leading logarithmic accuracy.
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spelling doaj.art-4e7431bc1f7f46d58b1d8407dbbe588f2022-12-22T02:18:51ZengElsevierNuclear Physics B0550-32132015-01-01890518538Transverse-momentum resummation for heavy-quark hadroproductionStefano Catani0Massimiliano Grazzini1Alessandro Torre2INFN, Sezione di Firenze and Dipartimento di Fisica e Astronomia, Università di Firenze, I-50019 Sesto Fiorentino, Florence, ItalyPhysik-Institut, Universität Zürich, CH-8057 Zürich, Switzerland; Corresponding author.Physik-Institut, Universität Zürich, CH-8057 Zürich, SwitzerlandWe consider the production of a pair of heavy quarks (QQ¯) in hadronic collisions. When the transverse momentum qT of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all orders. This behavior is well known from the simpler case of hadroproduction of colorless high-mass systems, such as vector or Higgs boson(s). In the case of QQ¯ production, the final-state heavy quarks carry color charge and are responsible for additional soft radiation (through direct emission and interferences with initial-state radiation) that complicates the evaluation of the logarithmically-enhanced terms in the small-qT region. We present the all-order resummation structure of the logarithmic contributions, which includes color flow evolution factors due to soft wide-angle radiation. Resummation is performed at the completely differential level with respect to the kinematical variables of the produced heavy quarks. Soft-parton radiation produces azimuthal correlations that are fully taken into account by the resummation formalism. These azimuthal correlations are entangled with those that are produced by initial-state collinear radiation. We present explicit analytical results up to next-to-leading order and next-to-next-to-leading logarithmic accuracy.http://www.sciencedirect.com/science/article/pii/S0550321314003630
spellingShingle Stefano Catani
Massimiliano Grazzini
Alessandro Torre
Transverse-momentum resummation for heavy-quark hadroproduction
Nuclear Physics B
title Transverse-momentum resummation for heavy-quark hadroproduction
title_full Transverse-momentum resummation for heavy-quark hadroproduction
title_fullStr Transverse-momentum resummation for heavy-quark hadroproduction
title_full_unstemmed Transverse-momentum resummation for heavy-quark hadroproduction
title_short Transverse-momentum resummation for heavy-quark hadroproduction
title_sort transverse momentum resummation for heavy quark hadroproduction
url http://www.sciencedirect.com/science/article/pii/S0550321314003630
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