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Title: Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold

Abstract

I present a unified calculation of soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). Master formulas are derived, from a threshold resummation formalism, that can be applied to total and differential cross sections for hard-scattering processes in hadron colliders. I also present numerical results for charged Higgs production at the LHC where these corrections are large, and for top quark production at the Tevatron where these corrections greatly reduce the scale dependence of the cross section.

Authors:
 [1]
  1. Kennesaw State University, Physics 1202 1000 Chastain Road, Kennesaw, Georgia 30144-5591 (United States)
Publication Date:
OSTI Identifier:
20776643
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.73.034001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CERN LHC; CORRECTIONS; DIFFERENTIAL CROSS SECTIONS; FERMILAB TEVATRON; GLUONS; HADRONS; HARD COLLISION MODELS; HIGGS BOSONS; HIGGS MODEL; INCLUSIVE INTERACTIONS; INTERMEDIATE BOSONS; PROTON-PROTON INTERACTIONS; QUANTUM CHROMODYNAMICS; SCATTERING; T QUARKS

Citation Formats

Kidonakis, Nikolaos. Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.034001.
Kidonakis, Nikolaos. Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold. United States. doi:10.1103/PhysRevD.73.034001.
Kidonakis, Nikolaos. Wed . "Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold". United States. doi:10.1103/PhysRevD.73.034001.
@article{osti_20776643,
title = {Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold},
author = {Kidonakis, Nikolaos},
abstractNote = {I present a unified calculation of soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). Master formulas are derived, from a threshold resummation formalism, that can be applied to total and differential cross sections for hard-scattering processes in hadron colliders. I also present numerical results for charged Higgs production at the LHC where these corrections are large, and for top quark production at the Tevatron where these corrections greatly reduce the scale dependence of the cross section.},
doi = {10.1103/PhysRevD.73.034001},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 73,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2006},
month = {Wed Feb 01 00:00:00 EST 2006}
}
  • I present analytical expressions for the collinear and soft-gluon corrections to Higgs production via the process bb{yields}H as well as gg{yields}H through next-to-next-to-next-to-leading order (NNNLO). The soft corrections are complete, while the collinear corrections include leading and some subleading logarithms. Numerical results at the Tevatron and the CERN LHC are presented, primarily for bb{yields}H. It is shown that the collinear terms greatly improve the soft and virtual approximation at next-to-leading order and next-to-next-to-leading order, especially when subleading terms are included. The NNNLO collinear and soft corrections provide significant enhancements to the total cross section. I also provide expressions for themore » collinear and soft corrections through NNNLO for the related Drell-Yan process.« less
  • I present the resummation of collinear and soft-gluon corrections to single top quark production in the t channel at next-to-next-to-leading logarithm accuracy using two-loop soft anomalous dimensions. The expansion of the resummed cross section yields approximate next-to-next-to-leading-order cross sections. Numerical results for t-channel single top quark (or single antitop) production at the Tevatron and the LHC are presented, including the dependence of the cross sections on the top quark mass and the uncertainties from scale variation and parton distributions. Combined results for all single top quark production channels are also given.
  • No abstract prepared.
  • The contributions of virtual corrections and soft gluon emission to the inclusive Higgs boson production cross section pp{r_arrow}H+X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section is well behaved in the sense of perturbative convergence, with the NNLO corrections amounting to an enhancement of the NLO cross section by {similar_to}5% for the CERN LHC and 10{endash}20% for the Fermilab Tevatron. We compare our results with an existing estimate of the full NNLO effects and argue that an analytic evaluation of the hard scattering contributions is needed.
  • The contributions of virtual corrections and soft gluon emission to the inclusive Higgs boson production cross section pp{yields}H+X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section is well behaved in the sense of perturbative convergence, with the NNLO corrections amounting to an enhancement of the NLO cross section by {approx}5% for the CERN LHC and 10--20 % for the Fermilab Tevatron. We compare our results with an existing estimate of the full NNLO effects and argue that an analytic evaluation of the hard scattering contributions is needed.