TL;DR
This paper reviews numerical on-shell and unitarity methods for precise LHC predictions, highlighting their automation, effectiveness in multi-jet processes, and key implementation techniques.
Contribution
It provides a comprehensive overview of on-shell and unitarity methods, emphasizing their automation and application to complex multi-parton scattering at NLO.
Findings
Demonstrated effectiveness of unitarity methods in multi-jet production
Reviewed key techniques for efficient numerical implementations
Highlighted automation potential for Standard Model and beyond
Abstract
We review on-shell and unitarity methods and discuss their application to precision predictions for LHC physics. Being universal and numerically robust, these methods are straight-forward to automate for next-to-leading-order computations within Standard Model and beyond. Several state-of-the-art results including studies of W/Z+3-jet and W+4-jet production have explicitly demonstrated the effectiveness of the unitarity method for describing multi-parton scattering. Here we review central ideas needed to obtain efficient numerical implementations. This includes on-shell loop-level recursions, the unitarity method, color management and further refined tricks.
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