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Factorization and Resummation for Sequential Recombination Jet Cross Sections
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We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the directions of the hard partons, but also on their energy fractions. We derive the one-loop anomalous dimension of the hard functions that drives the leading-logarithmic resummation. The anomalous dimension imposes energy ordering, which simplifies the clustering sequence. We perform resummations for gap-between-jet observables defined with different jet algorithms and explain the effects of the clustering on the importance of secondary emissions and on the effective gap size.
Forward citations
Cited by 2 Pith papers
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$V/H$+Jet Production with the Cambridge/Aachen Algorithm
C/A clustering reduces non-global and clustering logarithms relative to k_t at three loops and behaves comparably to k_t at all orders in V/H+jet jet-mass predictions.
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Low-energy theory of jet processes and PDF factorization
A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.
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