Abstract

We present the first NLO QCD+EW predictions for Higgs boson production in association with a ℓνℓ or ℓ+ℓ− pair plus zero or one jets at the LHC. Fixed-order NLO QCD+EW calculations are combined with a QCD+QED parton shower using the recently developed resonance-aware method in the POWHEG framework. Moreover, applying the improved MiNLO technique to Hℓνℓ +jet and Hℓ+ℓ− +jet production at NLO QCD+EW, we obtain predictions that are NLO accurate for observables with both zero or one resolved jet. This approach permits also to capture higher-order effects associated with the interplay of EW corrections and QCD radiation. The behavior of EW corrections is studied for various kinematic distributions, relevant for experimental analyses of Higgsstrahlung processes at the 13 TeV LHC. Exact NLO EW corrections are complemented with approximate analytic formulae that account for the leading and next-to-leading Sudakov logarithms in the high-energy regime. In the tails of transverse-momentum distributions, relevant for analyses in the boosted Higgs regime, the Sudakov approximation works well, and NLO EW effects can largely exceed the ten percent level. Our predictions are based on the POWHEG BOX RES+OpenLoops framework in combination with the Pythia 8.1 parton shower.

Highlights

  • The discovery of the Higgs boson [1, 2] has opened the door to the direct experimental investigation of the Higgs and Yukawa sectors of the Standard Model

  • Predictions based on exact next-to-leading order (NLO) EW calculations are compared against the Sudakov NLL approximation, which includes virtual EW logarithms supplemented by an exact treatment of QED radiation

  • In addition to fixed-order predictions we have presented realistic simulations obtained by combining NLO QCD+EW calculations with a QCD+QED parton shower

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Summary

Introduction

The discovery of the Higgs boson [1, 2] has opened the door to the direct experimental investigation of the Higgs and Yukawa sectors of the Standard Model. Besides showing fixed-order NLO QCD+EW predictions at parton level for typical observables, we present full NLO+PS simulations for HV and HVj production To this end, we have implemented our NLO calculations for HV and HVj production into four separate codes (HW ±, HW ±j, HZ and HZj) in the POWHEG BOX framework. We have implemented our NLO calculations for HV and HVj production into four separate codes (HW ±, HW ±j, HZ and HZj) in the POWHEG BOX framework In this way, we have consistently combined the radiation emitted at NLO QCD+EW level with a QCD+QED parton shower. We exploit the flexibility of the resonance-aware method to perform a fully consistent NLO QCD+EW matching in the presence of non-trivial EW resonances To this end, our NLO calculations and generators are implemented in the new version of the POWHEG BOX framework, known as POWHEG BOX RES. In the appendices we document the validation of EW corrections in HV production against HAWK (appendix A), detailed NLO EW formulas in the Sudakov approximation (appendix B), a reweighting approach that we employ in order to speed up the evaluation of EW corrections (appendix C), and technical aspects of the interface between the POWHEG BOX RES and Pythia 8.1 (appendix D)

NLO QCD and EW corrections to HV and HVj production
Sudakov approximation at NLO EW
Technical aspects and setup of the simulations
OpenLoops tree and one-loop amplitudes
HW and HWj production
HZ and HZj production
13 TeV HZ
Comparison between the HV and HVj generators
Summary and conclusions
A Validation of the fixed-order NLO EW corrections in HV production
Results
B The virtual EW Sudakov approximation
NLL Sudakov approximation for HV and HVj production
CKM uid
C Fast evaluation of the virtual electroweak corrections
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