Abstract

I present theoretical calculations for Higgs-boson and top-quark production, including high-order soft-gluon corrections. I discuss charged-Higgs production in association with a top quark or a W boson, as well as single-top and top-antitop production. Total cross sections as well as transverse-momentum and rapidity distributions of the top quark or the Higgs boson are presented for various LHC energies.

Highlights

  • IntroductionExpansions of resummed cross sections have been given at NLO, NNLO, and even N3 LO for numerous top-quark and Higgs processes [1]

  • The study of the top quark and of Higgs bosons in the Standard Model and beyond are two major active areas of fundamental physics and its exporation at the LHC

  • Perturbative QCD corrections are typically large for these processes and they are needed to reduce the dependence of the cross sections on factorization and renormalization scales

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Summary

Introduction

Expansions of resummed cross sections have been given at NLO, NNLO, and even N3 LO for numerous top-quark and Higgs processes [1]. Even higher-order soft-gluon corrections can provide additional significant contributions In this presentation, I discuss the latest results with soft-gluon corrections for various processes involving charged Higgs bosons and top quarks. Soft-gluon corrections are very important in all these cases and they approximate exact results very well We resum these soft corrections at next-to-next-to-leading logarithm (NNLL) accuracy for the double-differential cross section, and we use the resummed cross section as a generator of finite-order expansions to provide approximate NNLO (aNNLO) and approximate N3 LO (aN3 LO) predictions for cross sections and differential distributions. The aN3 LO prediction is found by adding the aN3 LO soft-gluon corrections to the complete NNLO result if the latter is available (or to the aNNLO result, if it is not)

Higher-Order Soft-Gluon Corrections
Charged Higgs Production
Single-Top Production
Top-Antitop Pair Production
Findings
Conclusions
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