# NLO QCD+EW predictions for HV and HV+jet production including parton-shower effects

## TL;DR

This paper provides the first combined NLO QCD and electroweak predictions for Higgs production with associated jets at the LHC, including parton-shower effects, and studies EW corrections across various kinematic regimes.

## Contribution

It introduces a novel approach combining NLO QCD+EW calculations with parton showers using the resonance-aware POWHEG method and applies the MINLO technique for improved accuracy.

## Key findings

- EW corrections can exceed 10% in high-energy tails.
- The Sudakov approximation effectively describes high-energy EW effects.
- Predictions are validated against experimental kinematic distributions.

## Abstract

We present the first NLO QCD+EW predictions for Higgs boson production in association with a l nu 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 H l nu and H l+ l- 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 POWHEX BOX RES + OpenLoops framework in combination with the Pythia 8.1 parton shower.