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arXiv · 1704.08262

Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders

Daniele Bertolini·Daniel Kolodrubetz·Duff Neill·Piotr Pietrulewicz·Iain W. Stewart·Frank J. Tackmann·Wouter J. Waalewijn
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Abstract

We introduce a method to compute one-loop soft functions for exclusive $N$-jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In particular, we generalize the $N$-jettiness hemisphere decomposition of [Jouttenus 2011] in a manner that separates the dependence on the jet boundary from the observables measured inside the jet and beam regions. Results are given for several factorizable jet definitions, including anti-$k_T$, XCone, and other geometric partitionings. We calculate explicitly the soft functions for angularity measurements, including jet mass and jet broadening, in $pp \to L + 1$ jet and explore the differences for various jet vetoes and algorithms. This includes a consistent treatment of rapidity divergences when applicable. We also compute analytic results for these soft functions in an expansion for a small jet radius $R$. We find that the small-$R$ results, including corrections up to $\mathcal{O}(R^2)$, accurately capture the full behavior over a large range of $R$.

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Daniele Bertolini, Daniel Kolodrubetz, Duff Neill, Piotr Pietrulewicz, Iain W. Stewart, Frank J. Tackmann, Wouter J. Waalewijn. 2017-10-07. Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders. https://doi.org/10.1007/jhep07(2017)099

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