%my defs:
\def\mh{m_h^{}}
\def\gev{\rm GeV}
\def\fbi{\rm fb^{-1}}
\def\ww{W^*W^*}
\def\zz{Z^*Z^*}
\def\lsim{\mathrel{\raise.3ex\hbox{$<$\kern-.75em\lower1ex\hbox{$\sim$}}}}
\def\gsim{\mathrel{\raise.3ex\hbox{$>$\kern-.75em\lower1ex\hbox{$\sim$}}}}
\def\ljj{\ell\nu jj}
\def\lljj{\ell\bar\ell jj}
\def\jj{\protect jj}
\def\llnn{\ell\bar\ell\nu\bar\nu}

\def\ptmiss{\slashchar{p}_{T}}
\def\etmiss{\slashchar{E}_{T}}
%
%\input{epsf}
%\ifx\epsffile\undefined
%\message{(Uncomment input epsf to include figures)}
%\newlength{\epsfysize}
%\def\epsffile#1#2#3#4]#5{}
%\fi
%%%
%


For $Wh$ associated production, the $h \to \ww \to \ell\nu jj$ mode
can give like-sign leptons plus two-jets
events~\cite{Stange:1994ya,Wells}.  Compared to the trilepton
signature, the like-sign lepton plus jets process has a three times
larger rate. Moreover, the leading SM source of like-sign and
trileptons, $WZ(\gamma^*)$, will generate little jet activity as both
gauge bosons are required to decay leptonically to give the unique
like sign signature.

The contributing channels to the $\ell^{\pm} \ell^{\pm} j j$
final state include
\begin{eqnarray}
&&Wh \to W\ww \to \ell^\pm\nu \ell^\pm\nu jj,\nonumber\\
&&Wh \to W\zz \to \ell^\pm\nu \ell^\pm\ell^\mp jj,\nonumber\\
&&Wh \to W\zz \to \ell^\pm\ell^\mp \ell^\pm\ell^\mp jj,\nonumber\\
&&Zh \to Z\ww \to \ell^\pm\ell^\mp \ell^\pm\nu jj,\nonumber\\
&&Zh \to Z\zz \to \ell^\pm\ell^\mp \ell^\pm\ell^\mp jj.\nonumber
\end{eqnarray}

The SM backgrounds are
%
\begin{eqnarray}
%\label{wpwm}
\label{vvv}
p\bar p &\to& WWW,\ WWZ,\ WZZ,\ ZZZ,\ t \bar t W,\ t \bar t Z
\to \ell^\pm \ell^\pm jj\  X,\\
\label{wzjj}
p\bar p &\to& W^\pm Z(\gamma^*)+jj\to  \ell^\pm \ell^\pm jj X,\ \ 
Z Z(\gamma^*)+jj\to \ell^\pm \ell^\pm jj X,\ \  
t \bar t\to  \ell \bar \nu jj b\bar b,\\
p\bar p &\to& Wjj,\ Z(\gamma^*)jj +{\rm fake}.\nonumber
%\label{bckgrnd2}
\end{eqnarray}
%
Although the triple gauge boson production \cite{23} in
Eq.~(\ref{vvv}) constitutes an irreducible background, the $WZjj$,
$t\bar t$ through $b$ or $c$ semileptonic decay and the background
from $j\to e$ fakes turn out to be larger.  The background from
$W(Z)jjj$ background with a $j\to e$ fake was estimated using the
measured D\O\ $W/Z + 3j$ rate \cite{w3jet} with $P(j\to e)=10^{-4}$.

\begin{figure}[tbp]
\epsfysize=5.5in
\epsffile[-50 0 560 560]{highmass/ls_njet.eps}
\caption[]{Normalized jet multiplicity distributions for the signal 
$W^\pm h \to W^\pm\ww\to\ell^\pm\ell^\pm jj$ 
with $\mh=170$ GeV and the backgrounds $WZ$, $ZZ$ and $t\bar t$.
\label{njet}}
\end{figure}


\begin{figure}[tbp]
\epsfysize=5.5in
\epsffile[-50 0 560 560]{highmass/ls_ctmul1.eps}
\caption[0]{Normalized leading jet charged track multiplicity distributions 
for the signal $W^\pm h \to W^\pm \ww \to$ $\ell^\pm\ell^\pm jj$ 
with $\mh=170$ GeV and the backgrounds $WZ$, $ZZ$ and $t\bar t$.
\label{ctmul1}}
\end{figure}


\begin{figure}[tbp]
\epsfysize=5.5in
\epsffile[-50 0 560 560]{highmass/mjj_ls.eps}
\caption[]{Normalized di-jet mass distributions for the signal 
$W^\pm h \to W^\pm\ww\to\ell^\pm\ell^\pm jj$ 
with $\mh=170$ GeV and the backgrounds $WZ$, $ZZ$ and $t\bar t$.
\label{mjj}}
\end{figure}
%

\vspace{0.2in}
{\bf Event Selection} \\ \nopagebreak

We identify the final state signal as two isolated like-sign charged
leptons plus jets. A soft third lepton may be present.  The basic
acceptance cuts required for the leptons are
%
\begin{eqnarray}
\nonumber
&&p^{}_T(\ell)  > 10\ {\gev},\ \ |\eta^{}_\ell| < 1.5,\ \ 
m(\ell\ell)>10\ {\gev},\nonumber\\
&&0.3 < \Delta R(\ell j) <6,\ \ \etmiss > 10\ {\gev}.
\label{basic2}
\end{eqnarray}
%
For a muon, we further demand that the scalar sum of additional
track momenta within 30$^\circ$ be less than 60\%
of the muon momentum.
We require that there are at least two jets with
%
\begin{equation}
p_T^j>15\ {\gev},\ \  |\eta^{}_j| < 3.
\label{jets}
\end{equation}
%
To suppress the $WZ$ background, we require the leading jet to be
within $|\eta^{}_{j_1}| < 1.5$ and to have a charged track
multiplicity satisfying $2\leq N\leq 12$; while the sub-leading jet to
be within $|\eta^{}_{j_2}| < 2.0$.  The $t\bar t$ background typically
exhibits greater jet activity; we therefore veto events having
%
\begin{equation}
 p_T^{j_3}>30\ {\gev},
\end{equation}
%
and events with a fourth jet satisfying Eq.~(\ref{jets}).
The effect of the jet multiplicity and the leading jet
charged track multiplicity requirements on the di-boson backgrounds 
can be seen in Figs.~\ref{njet} and \ref{ctmul1}, respectively.
To suppress backgrounds associated with heavy flavor jets, 
we veto the event if any of the jets have a $b$-tag. 

In Fig.~\ref{mjj}, we present the di-jet mass distributions
for the signal and backgrounds. Since the di-jets in the signal
are mainly from a $W^*$ decay, $m(jj)$ is close to or lower than
$M_W$. This motivates us to further require
%
\begin{equation}
m(jj)<110\ {\gev},\ \ \Sigma_j |p_T^j|<150\ {\gev}.
\label{mpt}
\end{equation}
%
Finally, it is interesting to note that the lepton correlation
angle, $\theta^*_{\ell_1}$,
%\cite{dilepton} 
has strong discriminating power to separate the signal from backgrounds 
as shown in Fig.~\ref{thetass}. We then impose a final cut

%
\begin{equation}
\cos\theta^*_{\ell_1} < 0.95.
\end{equation}
%

\begin{figure}[tbp]
\epsfysize=5.5in
\epsffile[-50 0 560 560]{highmass/helang_ls.eps}
\caption[]{Normalized distributions 
for the correlation angle 
between the momentum vector of the lepton pair and the momentum of
the higher $p_T$ lepton ($\ell_1$) in the lepton-pair rest frame, 
for the signal 
$W^\pm h \to W^\pm \ww \to \ell^\pm \ell^\pm jj$ 
with $\mh=170$ GeV and backgrounds $WZ$, $ZZ$ and $t \bar t$. 
\label{thetass}}
\end{figure}
%

%
\begin{table}[tbp]
\caption[]{$V h \to \ell^\pm\ell^\pm jj$ 
signal for $\mh=120-$200 GeV and the SM backgrounds 
after the kinematic cuts of eqs.~(\ref{basic2})--(\ref{mpt}). 
}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|}
\noalign{\vskip-6pt}  %\hline
\multicolumn{1}{c}{$\mh$ [GeV]} &120 &130 & 140 & 150 & 160 & 170 & 180 & 190 &200\\ 
\tableline
 signal sum [fb] &0.093 &0.20 &0.34 &0.52 &0.45 & 0.38& 0.29 &0.20 &0.16\\ 
\hline
\hline
background channels&$WZ$&$ZZ$&$WW$&$t\bar t$&$VVV$ &$t\bar t V$ &
$W/Z\ jj+$fake & Sum  &\\
$\sigma$ [fb]& 0.27&0.06 &0.01&0.15&0.07 &0.02 &0.26 &0.83 &\\ 
\hline
$S/B$ [\%] & 11 & 24  & 41 & 63 & 54 & 46 & 35 & 24& 19 \\ \hline
$S/\sqrt B$ [30 fb$^{-1}$] &0.56 &1.2 &2.0 &3.1 &2.7 &2.3&1.7&1.3&0.96\\ 
\end{tabular}
%\vspace{0.2in}
\label{lljj}
\end{table}

With these cuts, we present the results for the signal
and backgrounds in Table~\ref{lljj}. We can see that for a
given $\mh$, the $S/B$ is larger than that for the di-lepton
plus $\etmiss$ signature, reaching as high as 63\%. One can consider
further optimization of cuts with $\mh$ dependence.
However, the rather small signal rate for a 30 fb$^{-1}$
luminosity limits the statistical significance.
Also, the systematic uncertainty in the background 
may be worse than the $\ell\nu\ell'\bar{\nu}$ channel.



