The gluon form factor to higher orders: Gluon-gluon annihilation at small Qt

Catani, Stefano; d’Emilio, Emilio; Trentadue, L.

doi:10.1016/0370-2693(88)90912-4

Cited by 179 publications

(188 citation statements)

References 43 publications

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“…The use of NNLO parton densities consistently matches the NNLL (NNLO) accuracy of our partonic cross section in the region of small and intermediate values of q T . Resummation up to the NLL level is under control from the knowledge of the perturbative coefficients A (1) , B (1) , A (2) [35] and H (1) [37]. To reach the NNLL+NLO accuracy, the form factor function G (N 1 ,N 2 ) in Eq.…”

Section: Higgs Boson Production At the Lhcmentioning

confidence: 99%

Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence

et al. 2008

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We consider Higgs boson production by gluon fusion in hadron collisions. We study the doubly-differential transverse-momentum (q T ) and rapidity (y) distribution of the Higgs boson in perturbative QCD. In the region of small q T (q T ≪ M H , M H being the mass of the Higgs boson), we include the effect of logarithmicallyenhanced contributions due to multiparton radiation to all perturbative orders. We use the impact parameter and double Mellin moments to implement and factorize the multiparton kinematics constraint of transverse-and longitudinal-momentum conservation. The logarithmic terms are then systematically resummed in exponential form. At small q T , we perform the all-order resummation of large logarithms up to next-to-next-to-leading logarithmic accuracy, while at large q T (q T ∼ M H ), we apply a matching procedure that recovers the fixed-order perturbation theory up to nextto-leading order. We present quantitative results for the differential cross section in q T and y at the LHC, and we comment on the comparison with the q T cross section integrated over y.

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Section: Higgs Boson Production At the Lhcmentioning

confidence: 99%

Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence

et al. 2008

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“…Using renormalization group techniques, Collins, Soper, and Sterman (CSS) [24] devised a b space resummation formalism that resums all logarithmic terms as singular as (1/Q 2 T ) ln n (Q 2 /Q 2 T ) when Q T → 0. This formalism has been used widely for computations of the transverse momentum distributions of vector bosons in hadron reactions [26,27,28,29,30,31,32,33,34], Higgs bosons [35,36,37,38,39], and other processes [14,40].…”

Section: Introductionmentioning

confidence: 99%

Differential cross section for Higgs boson production including all-orders soft gluon resummation

Berger

Qiu

2003

Phys. Rev. D

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The transverse momentum Q T distribution is computed for inclusive Higgs boson production at the energy of the CERN Large Hadron Collider. We focus on the dominant gluon-gluon subprocess in perturbative quantum chromodynamics and incorporate contributions from the quark-gluon and quark-antiquark channels. Using an impact-parameter b-space formalism, we include allorders resummation of large logarithms associated with emission of soft gluons. Our resummed results merge smoothly at large Q T with the fixed-order expectations in perturbative quantum chromodynamics, as they should, with no need for a matching procedure. They show a high degree of stability with respect to variation of parameters associated with the non-perturbative input at low Q T . We provide distributions dσ/dydQ T for Higgs boson masses from M Z to 200 GeV. The average transverse momentum at zero rapidity y grows approximately linearly with mass of the Higgs boson over the range M Z < m h < 200 GeV, < Q T >≃ 0.18m h + 18 GeV. We provide analogous results for Z boson production, for which we compute < Q T >≃ 25 GeV. The harder transverse momentum distribution for the Higgs boson arises because there is more soft gluon radiation in Higgs boson production than in Z

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“…Resummation techniques for these large threshold logarithms have been developed in [5,6,7,8] and more recently applied to heavy quark production [9,10]. Soft gluon resummation for processes also involving non-perturbative matrix elements, namely radiative and semileptonic B decays within Heavy Quark Effective Theory, have also been considered in [11,12].…”

Section: Next-to-leading Order Results and Resummationmentioning

confidence: 99%

“…This calls for an all-order resummation of such contributions, which is precisely the goal of this paper. We will work using techniques developed in [5,6,7,8], and more recently applied to heavy-quark production processes in [9,10].…”

Section: Introductionmentioning

confidence: 99%

Soft-gluon resummation in heavy quarkonium physics

Cacciari

2000

Nuclear Physics B

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Soft-gluon resummation within the framework of heavy quarkonium hadroproduction is considered. A few selected cases are studied in detail. A sizeable increase of the cross sections with respect to the next-to-leading order predictions with central factorization/renormalization scale choice can generally be observed. Improvements in the dependence of the cross sections on the two scales, especially when they are kept equal, are also found.

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The gluon form factor to higher orders: Gluon-gluon annihilation at small Qt

Cited by 179 publications

References 43 publications

Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence

Higgs boson production at the LHC: Transverse-momentum resummation and rapidity dependence

Differential cross section for Higgs boson production including all-orders soft gluon resummation

Soft-gluon resummation in heavy quarkonium physics

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