Abstract

We present results for Higgs boson pair production with variations of the trilinear Higgs boson self coupling at next-to-leading order (NLO) in QCD including the full top quark mass dependence. Differential results for the LHC at 14 TeV are presented and we discuss the implications of anomalous trilinear couplings as well as differences between the Pythia and Herwig parton showers in combination with POWHEG. The implementation of the NLO QCD calculation with variable Higgs boson self coupling is made publicly available in the POWHEG-BOX-V2 Monte Carlo framework. A simple method for using the new implementation to study also variations of the top quark Yukawa coupling is described.

Highlights

  • Higgs boson pair production in gluon fusion in the Standard Model (SM) has been calculated at leading order in refs. [37,38,39]

  • We present results for Higgs boson pair production with variations of the trilinear Higgs boson self coupling at next-to-leading order (NLO) in QCD including the full top quark mass dependence

  • These results have been improved in various ways: they have been supplemented by an expansion in 1/m2t in [52], and soft gluon resummation has been performed at NNLO+NNLL level in [53]

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Summary

Introduction

Higgs boson pair production in gluon fusion in the SM has been calculated at leading order in refs. [37,38,39]. Before the full NLO QCD corrections became available, the mt → ∞ limit, sometimes called Higgs Effective Field Theory (HEFT) approximation, has been used in several forms of approximations. In this limit, the NLO corrections were first calculated in ref. The formalism of an expansion for large top quark mass has been applied recently to calculate partial real-radiation corrections to Higgs boson pair production at NNLO in QCD [61]. The study is based on results at NLO QCD with full top quark mass dependence for Higgs boson pair production in gluon fusion described in refs. While it is unlikely that New Physics alters just the Higgs boson self-couplings but leaves the Higgs couplings to vector bosons and fermions unchanged, it can be assumed that the deviations of the measured Higgs couplings from their SM values are so small that they have escaped detection at the current level of precision, for recent overviews see e.g. refs. [26, 62,63,64]

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