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38 lines
2.0 KiB
38 lines
2.0 KiB
\midheading{$H+$~jet production, $m_t=$~finite, process 200}
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\label{subsec:hjetma}
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This process represents the production of a Higgs boson in association
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with a single jet based on
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refs.~\cite{Neumann:2016dny,Neumann:2018bsx,Ellis:1987xu,Baur:1989cm,Ellis:2018hst,Budge:2020oyl}.
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Decay modes are currently unsupported/untested. The top-quark mass is taken
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into account exactly for the Born and real-emission parts, as well as for the singular part of the virtual corrections.
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The real emission calculation is based on the one-loop, Higgs boson + 4 parton calculations
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with full quark masss effects of ref.\cite{Ellis:2018hst,Budge:2020oyl}.
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The finite part of the two-loop virtual corrections can be computed in
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different ways by setting the input file parameter {\tt mtex}.
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\begin{itemize}
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\item In a low energy asymptotic expansion in $1/m_t^k$ up to
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order $k=2,4$ by setting {\tt mtex} to $2$ or $4$ in the input
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file. This is recommended for transverse momenta up to $\simeq
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225$~GeV.
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\item In a high energy expansion by setting {\tt mtex}=100 in the input
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file. This is recommended for transverse momenta beyond $450$~GeV.
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\item In a rescaling approach where the finite part of the two-loop virtual
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amplitude in the effective field theory
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($m_t=\infty$) is rescaled pointwise by the ratio of the one-loop
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amplitude computed with full $m_t$ dependence to the one-loop
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amplitude for $m_t=\infty$. This mode is the default mode and
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enabled with {\tt mtex}=0 in the input file. This is the
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recommended approach for the intermediate energy region and for
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estimating top-mass uncertainties in the transition regions
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between these approaches.
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\end{itemize}
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This process is therefore calculable at leading LO and at
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next-to-leading order NLO (using an approximation for the two loop
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matrix element). Full NLO calculations (with the exact two-loop matrix
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element) have been performed in refs.~\cite{Jones:2018hbb,Chen:2021azt,Bonciani:2022jmb}.
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