\topheading{NNLO using non-local subtraction}
\label{sec:scetqt}
We have performed NLO and NNLO calculations for the production of
color singlet bosons using different methods and published the results in ref.~\cite{Campbell:2022gdq}.
NLO calculations can performed by three methods, (subtraction, zero-jettiness slicing and $q_T$-slicing.
NNLO calculations can be performed by zero-jettiness slicing and $q_T$-slicing.

\midheading{Benchmark results at NNLO }

We have included a suite of input files that have been set up
to showcase all color-singlet processes that may be computed up to NNLO, located
in:
\begin{verbatim}
     Bin/2202.07738_nonlocal/lo
     Bin/2202.07738_nonlocal/nlo
     Bin/2202.07738_nonlocal/nnlo
\end{verbatim}
or accessible via the process web-pages, (linked in the table below)
These files reproduce the results presented in Ref.~\cite{Campbell:2022gdq}.
A list of the processes, input files and results (NNLO coefficient and running time)
is shown in Table~\ref{table:nnlo10}.

\renewcommand{\arraystretch}{1.05}
\begin{table}
\begin{tabular}{llllr}
\hline
Final state & input file & precision & $\delta_{NNLO}$ & Time (CPU days) \\
\hline
\href{\mcfmprocs/process119.html}{$H$}
& \texttt{input\_H\_qt.ini}   & 0.01 & 10.13(0.09)pb & 2.18 \\ % 187978 \\
& \texttt{input\_H\_scet.ini} &      & 10.09(0.09)pb & 4.07 \\[2pt] % 351574 \\
\href{\mcfmprocs/process32.html}{$Z$}
& \texttt{input\_Z\_qt.ini}   & 0.05 & -388(20)pb & 313 \\ % 27007796. \\
& \texttt{input\_Z\_scet.ini} &      & -371(18)pb & 261 \\[2pt] % 22543465. \\
\href{\mcfmprocs/process6.html}{$W^-$}
& \texttt{input\_W-\_qt.ini}   & 0.03 & -667(20)pb & 268 \\ % 23154067. \\
& \texttt{input\_W-\_scet.ini} &      & -624(19)pb & 213 \\[2pt] % 18434954. \\
\href{\mcfmprocs/process1.html}{$W^+$}
& \texttt{input\_W+\_qt.ini}   & 0.06 & -358(21)pb & 556 \\ % 48061977. \\
& \texttt{input\_W+\_scet.ini} &      & -275(16)pb & 555 \\[2pt] % 47926621. \\
\href{\mcfmprocs/process1.html}{$ZH$}
& \texttt{input\_ZH\_qt.ini}   & 0.01 & 65.9(0.6)fb & 19.4 \\ % 1673353.0 \\
& \texttt{input\_ZH\_scet.ini} &      & 67.4(0.6)fb & 19.1 \\[2pt] % 1653967.0 \\
\href{\mcfmprocs/process900.html}{$W^-H+W^+H$}
& \texttt{input\_WH\_qt.ini}   & 0.01 & 29.7(0.3)fb & 271 \\ % 23379691 \\
& \texttt{input\_WH\_scet.ini} &      & 29.4(0.3)fb & 281 \\[2pt] % 24241018.\\
\href{\mcfmprocs/process1.html}{$e^-e^+\gamma$}
& \texttt{input\_eexa\_qt.ini}   & 0.03 & 133.8(4.0)fb & 183 \\ % 15818271. \\
& \texttt{input\_eexa\_scet.ini} &      & 128.7(3.8)fb & 203 \\[2pt] % 17528784.\\
\href{\mcfmprocs/process295.html}{$e^-\bar\nu_e\gamma$}
& \texttt{input\_enexa\_qt.ini}   & 0.01 & 389.8(3.9)fb & 26.1 \\ % 2254963.1 \\
& \texttt{input\_enexa\_scet.ini} &      & 371.7(3.6)fb & 50.0 \\[2pt] % 4320244.9 \\
\href{\mcfmprocs/process290.html}{$\nu_e e^+\gamma$}
& \texttt{input\_neexa\_qt.ini}   & 0.01 & 488.0(4.8)fb & 29.1 \\ % 2510408.8 \\
& \texttt{input\_neexa\_scet.ini} &      & 461.7(4.6)fb & 47.1 \\[2pt] % 4071605.7 \\
\href{\mcfmprocs/process285.html}{$\gamma\gamma$}
& \texttt{input\_aa\_qt.ini}   & 0.01 & 13.98(0.13)pb & 1.08 \\ % 92901.640 \\
& \texttt{input\_aa\_scet.ini} &      & 14.17(0.14)pb & 0.92 \\[2pt] % 79255.726 \\
\href{\mcfmprocs/process61.html}{$e^-\mu^+\bar\nu_e\nu_\mu$}
& \texttt{input\_emxnexnm\_qt.ini}   & 0.015 & 21.2(0.3)fb  & 325 \\ % 28043518 \\
& \texttt{input\_emxnexnm\_scet.ini} &       & 21.6(0.3)fb  & 319 \\[2pt] %  \\
\href{\mcfmprocs/process76.html}{$e^- \bar\nu_e \mu^-\mu^+$}
& \texttt{input\_enexmmx\_qt.ini}   & 0.01   & 2.23(0.02)fb & 82.7 \\ % 7142746.4 \\
& \texttt{input\_enexmmx\_scet.ini} &        & 2.25(0.02)fb & 76.6 \\[2pt] %  \\
\href{\mcfmprocs/process71.html}{$\bar\nu e^+ \mu^- \mu^+$}
& \texttt{input\_neexmmx\_qt.ini}   & 0.01   & 3.13(0.03)fb & 124 \\ % 10685538 \\
& \texttt{input\_neexmmx\_scet.ini} &        & 3.14(0.03)fb & 121 \\[2pt] % 10487091 \\
\href{\mcfmprocs/process81.html}{$e^- e^+ \mu^- \mu^+$}
& \texttt{input\_eexmmx\_qt.ini}   & 0.01    & 2.99(0.03)fb & 54.2 \\ % 4685505.7 \\
& \texttt{input\_eexmmx\_scet.ini} &         & 3.03(0.03)fb & 76.1 \\ % 6572676.0 \\
\hline
\end{tabular}
\caption{Results have been obtained
when requiring the given precision (\texttt{precisiongoal} in the input file)
on the calculation of the NNLO coefficient ($\delta_{NNLO}$).}
\label{table:nnlo10}
\end{table}
\renewcommand{\arraystretch}{1.0}
