% !TEX root = MC_snippets.tex

\chapter{Higgs boson processes}
%\label{sec:higgs}

In this chapter, the set-up of the current ATLAS samples for Higgs boson production in gluon--gluon fusion,
vector-boson fusion and Higgs-strahlung processes is described.

\section{\(H\) via gluon--gluon fusion}
%\label{sec:higgs-ggH}

\subsection*{\texorpdfstring{\POWPY[8]}{Powheg+Pythia8} samples}
%\label{sec:higgs-ggH-samples}

%HGam: https://twiki.cern.ch/twiki/bin/view/Sandbox/RuggeroTurraSandbox
%ZZ: https://twiki.cern.ch/twiki/bin/view/AtlasProtected/HZZllllRun2MCSamplesMC16#mc16
%WW: https://twiki.cern.ch/twiki/bin/view/AtlasProtected/HWWMC
%Hlep:https://twiki.cern.ch/twiki/bin/view/AtlasProtected/HSG4MCrequests2015
%Hbb: https://twiki.cern.ch/twiki/bin/view/AtlasProtected/HbbMC

The descriptions below correspond to the samples in \cref{tab:higgs-ggH-samples}.

\begin{table}[!htbp]
  \caption{\POWHEG Higgs gluon--gluon fusion samples with \POWPY[8] for different Higgs boson decay channels.}%
  \label{tab:higgs-ggH-samples}
  \centering
  \begin{tabular}{ l | l | l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    343981 & \(H\to\gamma\gamma\)&   \\
    345316 & \(H\to Z\gamma\) & \\
    345060 & \(H\to ZZ^{*} \to 4\ell \) & \(\ell=e,\mu,\tau\)   \\
    345324 & \(H\to WW^{*} \to 2\ell2\nu \) &  \(\pTX[][\ell1] > \qty{15}{\GeV}\) and \(\pTX[][\ell2] > \qty{5}{\GeV}\) \\
    308284 & \(H\to ZZ^{*}\to 4\nu\) & \(\MET > \qty{75}{\GeV}\)\\
    345342 & \(H\to b \bar{b}\) & \\
    345097 & \(H\to\mu\mu\)      &     \\
    345120 & \(H\to\tau\tau\to \ell^{+}\ell^{-}\) & \(\pTX[][\ell1] > \qty{13}{\GeV}\) and \(\pTX[][\ell2] > \qty{7}{\GeV}\) \\
    345121 & \(H\to\tau\tau\to h^{+}\ell^{-}\)    & \(\pTX[][\ell]  > \qty{15}{\GeV}\) and \(\pTX[][h]     > \qty{20}{\GeV}\) \\
    345122 & \(H\to\tau\tau\to \ell^{+}h^{-}\)    & \(\pTX[][\ell]  > \qty{15}{\GeV}\) and \(\pTX[][h]     > \qty{20}{\GeV}\) \\
    345123 & \(H\to\tau\tau\to h^{+}h^{-}\)       & \(\pTX[][h1]    > \qty{30}{\GeV}\) and \(\pTX[][h2]    > \qty{20}{\GeV}\) \\
    345124 & \(H\to\tau\tau\to \mu\tau\)          & \\ %\(\pTX[][h1] > \qty{30}{\GeV}\) and \(\pTX[][h2]    > \qty{20}{\GeV}\)
    345125 & \(H\to\tau\tau\to e \tau\)           & \\ %\(\pTX[][h1] > \qty{30}{\GeV}\) and \(\pTX[][h2]    > \qty{20}{\GeV}\)
    \bottomrule
  \end{tabular}
\end{table}

\paragraph{Short description:}

Higgs boson production via gluon--gluon fusion was simulated at next-to-next-to-leading-order (NNLO) accuracy in
QCD using \POWHEGBOX[v2]~\cite{Hamilton:2013fea,Hamilton:2015nsa,Alioli:2010xd,Nason:2004rx,Frixione:2007vw}.
The simulation achieved NNLO accuracy for arbitrary inclusive \(gg\to H\) observables by reweighting the Higgs boson
rapidity spectrum in \textsc{Hj}-\MINLO~\cite{Hamilton:2012np,Campbell:2012am,Hamilton:2012rf} to that of HNNLO~\cite{Catani:2007vq}.
%The transverse momentum spectrum of the Higgs boson obtained with this sample was found to be compatible with the fixed-order HNNLO calculation and the Hres2.3 calculation~\cite{Bozzi:2005wk,deFlorian:2011xf} performing resummation at next-to-next-to- leading-logarithm accuracy matched to a NNLO fixed-order calculation (NNLL+NNLO).
The \PDFforLHC[15nnlo] PDF set~\cite{Butterworth:2015oua} and the \AZNLO tune~\cite{STDM-2012-23}
of \PYTHIA[8]~\cite{Sjostrand:2014zea} were used.

The gluon--gluon fusion prediction from the Monte Carlo samples was normalised to the
next-to-next-to-next-to-leading-order cross-section in QCD plus electroweak corrections
at next-to-leading order
(NLO)~\cite{deFlorian:2016spz,Anastasiou:2016cez,Anastasiou:2015ema,Dulat:2018rbf,Harlander:2009mq,Harlander:2009bw,Harlander:2009my,Pak:2009dg,Actis:2008ug,Actis:2008ts,Bonetti:2018ukf,Bonetti:2018ukf}. The decays of bottom and charm hadrons
were performed by \EVTGEN~\cite{Lange:2001uf}.
The normalisation of all Higgs boson
samples accounts for the decay branching ratio calculated with HDECAY~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz}
and \PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.


\paragraph{Long description:}

Higgs boson production via gluon--gluon fusion was simulated at next-to-next-to-leading-order (NNLO) accuracy in QCD using
\POWHEGBOX[v2]~\cite{Hamilton:2013fea,Hamilton:2015nsa,Alioli:2010xd,Nason:2004rx,Frixione:2007vw}. The simulation achieved NNLO
accuracy for arbitrary inclusive \(gg\to H\) observables by reweighting the Higgs boson rapidity spectrum
in \textsc{Hj}-\MINLO~\cite{Hamilton:2012np,Campbell:2012am,Hamilton:2012rf} to that of HNNLO~\cite{Catani:2007vq}. The transverse momentum
spectrum of the Higgs boson obtained with this sample was found to be compatible with the fixed-order HNNLO calculation and the
\HRES[2.3] calculation~\cite{Bozzi:2005wk,deFlorian:2011xf} performing resummation at next-to-next-to-leading-logarithm accuracy
matched to a NNLO fixed-order calculation (NNLL+NNLO).
Top- and bottom-quark mass effects were included up to next-to-leading order (NLO).

The renormalisation and factorisation scales were set to half of the Higgs boson mass and the \PDFforLHC[15nnlo] PDF
set~\cite{Butterworth:2015oua} was used. The matrix elements were matched to the parton shower of \PYTHIA[8]~\cite{Sjostrand:2014zea}
which uses the AZNLO tune~\cite{STDM-2012-23}. The decays of bottom and charm hadrons
were performed by \EVTGEN~\cite{Lange:2001uf}.

The QCD scale uncertainties were obtained using nine-point scale variations of the NLO renormalisation and factorisation scales and applying the NNLO reweighting to those variations, including up and down variations of \(\muR=\muF\) around the central value for the NNLO part, yielding a total of 27 scale variations.
PDF and \alphas uncertainties were estimated using the \PDFforLHC[15nlo] set of eigenvectors.
The envelope of the resulting 27 scale variations was taken to estimate the QCD scale uncertainty.
Uncertainties were also provided for switching off bottom- and top-quark mass effects.
%From YR4

The prediction from the Monte Carlo samples was normalised to the next-to-next-to-next-to-leading-order
cross-section in QCD in the infinite top-quark mass
limit~\cite{deFlorian:2016spz,Anastasiou:2016cez,Anastasiou:2015ema,Dulat:2018rbf,Aglietti:2004nj} and including exact
corrections for all finite quark-mass effects at NLO in QCD as well as NLO electroweak
effects~\cite{Actis:2008ug,Bonetti:2018ukf}. Additionally, corrections to the inverse of the top-quark mass were taken
into account at NNLO~\cite{Harlander:2009mq,Harlander:2009bw,Harlander:2009my,Pak:2009dg}.
The normalisation of all Higgs boson samples accounts for the decay branching ratio calculated with
HDECAY~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz}
and \PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.


\section{\(H\) via vector-boson fusion}
%\label{sec:higgs-VBF}

\subsection*{\texorpdfstring{\POWPY[8]}{Powheg+Pythia8} samples}
%\label{sec:higgs-VBF-samples}

The descriptions below correspond to the samples in \cref{tab:higgs-VBF-samples}.

\begin{table}[!htbp]
  \caption{\POWPY[8] Higgs vector-boson fusion samples for different Higgs boson decay channels.}%
  \label{tab:higgs-VBF-samples}
  \centering
  \begin{tabular}{ l l l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    346317 & \(H\to\) all  & \\
    346214 & \(H\to\gamma\gamma\)& \\
    345833 & \(H\to Z\gamma\) & \(Z\to \ell^{+}\ell^{-}\) \\
    345834 & \(H\to \gamma\gamma^{*}\) & \(\gamma^{*}\to \ell^{+}\ell^{-}\) \\
    346228 & \(H\to ZZ^{*} \to 4\ell \) & \(\ell=e,\mu\) \\
    450576 & \(H\to ZZ^{*} \to 2\ell2b \) &  \\
    345948 & \(H\to WW^{*} \to 2\ell2\nu \) &  \(\pTX[][\ell1] > \qty{15}{\GeV}\) and \(\pTX[][\ell2] > \qty{5}{\GeV}\) \\
    346600 & \(H\to ZZ^{*}\to 4\nu\) & \(\MET > \qty{75}{\GeV}\) \\
    345949 & \(H\to b \bar{b}\) & \\
    % & \(H\to\mu\mu\)      &     \\
    346190& \(H\to\tau\tau\to \ell^{+}\ell^{-}\) & \(\pTX[][\ell1] > \qty{13}{\GeV}\) and \(\pTX[][\ell2] > \qty{7}{\GeV}\) \\
    346191 & \(H\to\tau\tau\to h^{+}\ell^{-}\)   & \(\pTX[][\ell]  > \qty{15}{\GeV}\) and \(\pTX[][h]     > \qty{20}{\GeV}\) \\
    346192 & \(H\to\tau\tau\to \ell^{+}h^{-}\)   & \(\pTX[][\ell]  > \qty{15}{\GeV}\) and \(\pTX[][h]     > \qty{20}{\GeV}\) \\
    346193 & \(H\to\tau\tau\to h^{+}h^{-}\)      & \(\pTX[][h1]    > \qty{30}{\GeV}\) and \(\pTX[][h2]    > \qty{20}{\GeV}\) \\
    346194 & \(H\to\tau\tau\to e\tau\)           & \\%\(\pTX[][l1] > \qty{10}{\GeV}\) and \(\pTX[][h1]    > \qty{20}{\GeV}\) \\
    346195 & \(H\to\tau\tau\to \mu\tau\)         & \\%\(\pTX[][l1] > \qty{10}{\GeV}\) and \(\pTX[][h1]    > \qty{20}{\GeV}\) \\
    \bottomrule
  \end{tabular}
\end{table}

\paragraph{Short description:}

Higgs boson production via vector-boson fusion was simulated with
\POWHEGBOX[v2]~\cite{Nason:2009ai,Alioli:2010xd,Nason:2004rx,Frixione:2007vw}
and interfaced with \PYTHIA[8]~\cite{Sjostrand:2014zea} for parton shower and non-perturbative effects,
with parameters set according to the \AZNLO tune~\cite{STDM-2012-23}.
The \POWHEGBOX prediction is accurate to next-to-leading order (NLO) and uses
the \PDFforLHC[15nlo] PDF set~\cite{Butterworth:2015oua}.
%It was tuned to match calculations with effects due to finite heavy-quark masses
%and soft-gluon resummation up to NNLL.
It was normalised to an approximate-NNLO QCD cross-section
with NLO electroweak corrections~\cite{Ciccolini:2007jr,Ciccolini:2007ec,Bolzoni:2010xr}.
The decays of bottom and charm hadrons were performed by \EVTGEN~\cite{Lange:2001uf}.
The normalisation of all Higgs boson samples accounts for the decay branching ratio calculated
with \textsc{HDECAY}~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz}
and \PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.


\paragraph{Long description:}

Higgs boson production via vector-boson fusion was simulated with
\POWHEGBOX[v2]~\cite{Nason:2009ai,Alioli:2010xd,Nason:2004rx,Frixione:2007vw}. A factorised approximation, where cross-talk between the
fermion lines is neglected, was used. The implementation is based on the respective NLO QCD calculations for genuine \(W/Z\) vector-boson
fusion topologies (VBF approximation). Quark--antiquark annihilation and interference contributions
between \(t\)- and \(u\)-channel contributions were disregarded.
%External fermion masses are neglected throughout.  For the choice of renormalisation and factorisation scales, various options are available.
%For this report, fixed scales,muF=muR=MW, are used, and contributions from external bottom and top quarks are entirely disregarded.

The renormalisation and factorisation scales were set to the \(W\) boson mass and the \PDFforLHC[15nlo] PDF set~\cite{Butterworth:2015oua}
was used. The matrix elements were matched to the parton shower of \PYTHIA[8]~\cite{Sjostrand:2014zea} which uses the \AZNLO
tune~\cite{STDM-2012-23}. A dipole-recoil strategy was used for the parton shower.The decays of bottom and charm hadrons
were performed by \EVTGEN~\cite{Lange:2001uf}.%, which provides a better agreement than other recoil schemes with the NNLO predictions of proVBFH (not included in the HiggsReference twiki). % cite https://arxiv.org/pdf/1710.00391.pdf ?,

%The samples include weight variations evaluated on-the-fly for the estimation of QCD scale, PDF- and \alphas-induced uncertainties.
The QCD scales \muR and \muF were varied independently by factors of 0.5 and 2.0, both in the matrix element
and in the parton shower.

The prediction from the \POWHEGBOX sample was normalised to the next-to-next-to-leading-order cross-section in QCD
using the VBF approximation~\cite{Ciccolini:2007jr,Ciccolini:2007ec,Bolzoni:2010xr}. Relative
next-to-leading-order electroweak corrections were also taken into account for the \(t\)- and \(u\)-channel contribution
considered in the VBF approximation. The normalisation of all Higgs boson samples accounts for the decay branching
ratio calculated with \textsc{HDECAY}~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz} and
\PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.


\section{\(VH\)}
%\label{sec:higgs-VH}

This section describes the generation details of nominal samples for Higgs-strahlung production.

\subsection*{\texorpdfstring{\POWPY[8]}{Powheg+Pythia8} samples}
%\label{sec:higgs-VH-samples}

The descriptions below correspond to the samples in \crefrange{tab:higgs-ZH-samples}{tab:higgs-ggZH-samples}.

\begin{table}[!htbp]
  \caption{\POWPY[8] samples of Higgs boson production in association with a \(Z\) boson for different Higgs boson decay channels.}%
  \label{tab:higgs-ZH-samples}
  \centering
  \begin{tabular}{ l l l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    345038 & \(H \to ZZ^{*} \to 4\ell\) & \(Z\to\) all\\
    345319 & \(H \to \gamma\gamma\) & \(Z\to\) all\\
    345322 & \(H \to Z\gamma\) & \(Z\to\) all\\
    345103 & \(H \to\mu\mu\) & \(Z\to\) all\\
    345217 & \(H \to\tau\tau\)& \(Z\to\) all\\
    345218 & \(H \to e\tau\) &\(Z\to\) all\\
    345219 & \(H \to \mu\tau\)&\(Z\to\) all\\
    345445 & \(H \to WW^{*} \to 2\ell2\nu \) & \(Z\to\) all \\
    345876 & \(H\ to ee\) &\(Z\to\) all \\
    345965 & \(H \to \gamma\gamma^{*}\) & \(\gamma^{*}\to \ell^{+}\ell^{-}\); \(Z\to\) all\\
    346310 & \(H \to\) all&\(Z\to\) all\\
    346607 & \(H \to ZZ^{*} \to 4\nu \) &\(Z\to \ell^{+}\ell^{-}\) \\
    345055 & \(H \to b\bar{b}\)              & \pTX[][Z] enhancement; \(Z\to \ell^{+}\ell^{-}\)\\
    345111 & \(H \to c\bar{c}\)              & \pTX[][Z] enhancement; \(Z\to \ell^{+}\ell^{-}\)\\
    345337 & \(H \to WW^{*} \to 2\ell2\nu \) & \pTX[][Z] enhancement; \(Z\to \ell^{+}\ell^{-}\)\\
    346326 & \(H \to\tau\tau\)               & \pTX[][Z] enhancement; \(Z\to \ell^{+}\ell^{-}\)\\
    346693 & \(H \to ZZ^{*} \to 4\nu \)      & \pTX[][Z] enhancement; \(Z\to \ell^{+}\ell^{-}\)\\
    345056 & \(H \to b\bar{b}\)              & \pTX[][Z] enhancement; \(Z\to \nu\bar{\nu}\)\\
    345112 & \(H \to c\bar{c}\)              & \pTX[][Z] enhancement; \(Z\to \nu\bar{\nu}\)\\
    345445 & \(H \to WW^{*} \to 2\ell2\nu\)  & \pTX[][Z] enhancement; \(Z\to \nu\bar{\nu}\)\\
    \bottomrule
  \end{tabular}
\end{table}

\begin{table}[!htbp]
  \caption{\POWPY[8] samples of Higgs boson production in association with a \(W^{+}\) boson for different Higgs boson decay channels.}
  \label{tab:higgs-WpH-samples}
  \centering
  \begin{tabular}{l l l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    345039 & \(H \to ZZ^{*} \to 4\ell\) & \(W^{+}\to\) all\\
    345318 & \(H \to \gamma\gamma\) & \(W^{+}\to\) all\\
    345104 & \(H \to \mu\mu\) &  \(W^{+}\to\) all\\
    345212 & \(H \to \tau\tau\) &  \(W^{+}\to\) all\\
    345214 & \(H \to e \tau \) & \(W^{+}\to\) all\\
    345216 & \(H \to \mu \tau \) & \(W^{+}\to\) all\\
    345321 & \(H \to Z\gamma\) & \(W^{+}\to\) all\\
    345325 & \(H \to WW^{*} \to 2\ell2\nu \) & \(W^{+} \to q\bar{q}\) \\
    345877 & \(H \to e^{+}e^{-}\) & \(W^{+}\to\) all\\
    345964 & \(H \to \gamma\gamma^{*}\) & \(\gamma^{*}\to \ell^{+}\ell^{-}\); \(W^{+}\to\) all\\
    346311 & \(H \to\) all & \(W^{+}\to\) all\\
    346605 & \(H \to ZZ^{*} \to 4\nu \) & \(W^{+}\to\) all\\
    346699 & \(H \to 4\ell\) & interfaced to PROPHECY4F \\
    346705 & \(H \to 4\ell\) & interfaced to Hto4l \\
    345054 & \(H \to b\bar{b}\)                   & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    345110 & \(H \to c\bar{c}\)                   & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    345327 & \(H \to WW^{*} \to 2\ell2\nu\)       & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    346561 & \(H \to WW^{*} \to q\bar{q}\ell\nu\) & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    346325 & \(H \to \tau\tau\)                   & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    346729 & \(H \to ZZ^{*} \to 4\nu\)            & \pTX[][W] enhancement; \(W^{+}\to \ell^{+}\nu\) \\
    \bottomrule
  \end{tabular}
\end{table}

\begin{table}[!htbp]
  \caption{\POWPY[8] samples of Higgs boson production in association with a \(W^{-}\) boson for different Higgs boson decay channels.}
  \label{tab:higgs-WmH-samples}
  \centering
  \begin{tabular}{l l l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    345040 & \(H \to ZZ^{*} \to 4\ell\) & \(W^{-}\to\) all\\
    345317 & \(H \to \gamma\gamma\) & \(W^{-}\to\) all\\
    345105 & \(H \to \mu\mu\) &  \(W^{-}\to\) all\\
    345211 & \(H \to \tau\tau\) &  \(W^{-}\to\) all\\
    345213 & \(H \to e \tau \) & \(W^{-}\to\) all\\
    345215 & \(H \to \mu \tau \) & \(W^{-}\to\) all\\
    345320 & \(H \to Z\gamma\) & \(W^{-}\to\) all\\
    345333 & \(H \to WW^{*} \to 2\ell2\nu \) & \(W^{-} \to q\bar{q}\) \\
    345878 & \(H \to e^{+}e^{-}\) & \(W^{-}\to\) all\\
    345963 & \(H \to \gamma\gamma^{*}\) & \(\gamma^{*}\to \ell^{+}\ell^{-}\); \(W^{-}\to\) all\\
    346312 & \(H \to\) all & \(W^{-}\to\) all\\
    346606 & \(H \to ZZ^{*} \to 4\nu \) & \(W^{-}\to\) all\\
    346700 & \(H \to 4\ell\) & interfaced to PROPHECY4F \\
    346706 & \(H \to 4\ell\) & interfaced to Hto4l \\
    345053 & \(H \to b\bar{b}\)                   & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\) \\
    345109 & \(H \to c\bar{c}\)                   & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\)  \\
    345326 & \(H \to WW^{*} \to 2\ell2\nu\)       & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\) \\
    346560 & \(H \to WW^{*} \to q\bar{q}\ell\nu\) & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\) \\
    346324 & \(H \to \tau\tau\)                   & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\) \\
    346730 & \(H \to ZZ^{*} \to 4\nu\)            & \pTX[][W] enhancement; \(W^{-}\to \ell^{-}\bar{\nu}\) \\
    \bottomrule
  \end{tabular}
\end{table}

\begin{table}[!htbp]
  \caption{\POWPY[8] samples of loop-induced Higgs boson production in association with a \(Z\) boson for different
  Higgs boson decay channels.}%
  \label{tab:higgs-ggZH-samples}
  \centering
  \begin{tabular}{ l | l | l}
    \toprule
    DSID   & Decay channel & Additional comment \\
    \midrule
    345061 & \(H \to \gamma\gamma\) & \(Z\to\) all \\
    345066 & \(H \to ZZ^{*} \to 4\ell\) & \(Z\to\) all \\
    345098 & \(H \to \mu\mu\) & \(Z\to\) all \\
    345596 & \(H \to ZZ^{*} \to 4\nu\) & \(Z\to\) all \\
    346524 & \(H \to WW^{*} \to 2\ell2\nu \) & \(Z\to\) all \\
    346697 & \(H \to ZZ^{*} \to 4\nu\) & interfaced to PROPHECY4F \\
    346703 & \(H \to ZZ^{*} \to 4\nu\) & interfaced to Hto4l \\
    345057 & \(H \to b\bar{b}\) &  \(Z\to \ell^{+}\ell^{-}\)\\
    345113 & \(H \to c\bar{c}\) & \(Z\to \ell^{+}\ell^{-}\)\\
    345446 & \(H \to WW^{*} \to 2\ell2\nu\) &  \(Z\to \ell^{+}\ell^{-}\)\\
    346329 & \(H \to \tau\tau\) &  \(Z\to \ell^{+}\ell^{-}\)\\
    346694 & \(H \to ZZ^{*} \to 4\nu\) &  \(Z\to \ell^{+}\ell^{-}\)\\
    345058 & \(H \to b\bar{b}\) & \(Z\to \nu\bar{\nu}\)\\
    345114 & \(H \to c\bar{c}\) & \(Z\to \nu\bar{\nu}\)\\
    \bottomrule
  \end{tabular}
\end{table}

\paragraph{Short description:}

Higgs boson production in association with a vector boson was simulated using
\POWHEGBOX[v2]~\cite{Nason:2009ai,Alioli:2010xd,Nason:2004rx,Frixione:2007vw} and interfaced with \PYTHIA[8]~\cite{Sjostrand:2014zea} for
parton shower and non-perturbative effects. The \POWHEGBOX prediction is accurate to next-to-leading order for \(VH\) boson plus one-jet production.
The loop-induced \(gg\to ZH\) process was generated separately at leading order. The \PDFforLHC[15nlo] PDF
set~\cite{Butterworth:2015oua} and the \AZNLO tune~\cite{STDM-2012-23} of \PYTHIA[8]~\cite{Sjostrand:2014zea} were used. The decays of bottom and charm hadrons
were performed by \EVTGEN~\cite{Lange:2001uf}. The Monte Carlo
prediction was normalised to cross-sections calculated at NNLO in QCD with NLO electroweak corrections for \(q\bar{q}/qg \to VH\) and at NLO
and next-to-leading-logarithm accuracy in QCD for
\(gg \to ZH\)~\cite{Ciccolini:2003jy,Brein:2003wg,Brein:2011vx,Altenkamp:2012sx,Denner:2014cla,Brein:2012ne,Harlander:2014wda}.
The normalisation of all Higgs boson samples accounts for the decay branching ratio calculated with
HDECAY~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz} and \PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.


\paragraph{Long description:}

Higgs boson production in association with a vector boson was simulated using
\POWHEGBOX[v2]~\cite{Nason:2009ai,Alioli:2010xd,Nason:2004rx,Frixione:2007vw}. The computation was carried out using the
\MINLO~\cite{Luisoni:2013cuh} prescription, which achieves NLO accuracy for the \(VH\) and \(VH\) boson plus one-jet production
inclusive distributions and dictates the choice of renormalisation and factorisation scales. Virtual amplitudes were constructed
through the interface to the \GOSAM package~\cite{Cullen:2011ac}. The loop-induced \(gg\to ZH\) process was generated separately at
leading order with \POWHEGBOX. In all cases, the \PDFforLHC[15nlo] PDF set~\cite{Butterworth:2015oua} was used.

The matrix elements were matched to the parton shower of \PYTHIA[8]~\cite{Sjostrand:2014zea} which uses the \AZNLO
tune~\cite{STDM-2012-23}. The decays of bottom and charm hadrons were performed by \EVTGEN~\cite{Lange:2001uf}.
%The samples include weight variations evaluated on-the-fly for the estimation of QCD scale, PDF- and \alphas-induced uncertainties.
The QCD scales \muR and \muF were varied independently by factors of 0.5 and 2.0 to account for their uncertainties.

The predictions from \POWHEGBOX were normalised to the best available theoretical prediction. The  \(q\bar{q}/qg \to VH\) cross-sections
were calculated at NNLO in QCD with NLO electroweak corrections and the \(gg \to ZH\) cross-sections were calculated at NLO and
next-to-leading-logarithm accuracy~\cite{Ciccolini:2003jy,Brein:2003wg,Brein:2011vx,Altenkamp:2012sx,Denner:2014cla,Brein:2012ne,Harlander:2014wda}.
The normalisation of the \(q\bar{q}\to ZH\) samples was extracted from the subtraction of the latter from the former.
Differential NLO EW corrections were available from the \textsc{HAWK} program~\cite{Denner:2014cla} to be applied to
\(q\bar{q}\)-initiated \(VH\) production as a function of the vector boson's transverse momentum.
The normalisation of all Higgs boson samples accounts for the decay branching ratio calculated with
\textsc{HDECAY}~\cite{Djouadi:1997yw,Spira:1997dg,Djouadi:2006bz} and
\PROPHECY~\cite{Bredenstein:2006ha,Bredenstein:2006rh,Bredenstein:2006nk}.
