Abstract
To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass $m_J$. For small jet areas there are additional large logarithms of the jet radius $R$, which affect the convergence of the perturbative series. We present an analytic framework for exclusive jet production at the LHC which gives a complete description of the jet mass spectrum including realistic jet algorithms and jet vetoes. It factorizes the scales associated with $m_J$, $R$, and the jet veto, enabling in addition the systematic resummation of jet radius logarithms in the jet mass spectrum beyond leading logarithmic order. We discuss the factorization formulae for the peak and tail region of the jet mass spectrum and for small and large $R$, and the relations between the different regimes and how to combine them. Regions of experimental interest are classified which do not involve large nonglobal logarithms. We also present universal results for nonperturbative effects and discuss various jet vetoes.
Highlights
The field of jet substructure has continued to expand over the past few years, providing valuable tools to study processes in the challenging environment at the LHC [1,2,3]
We presented a factorization framework to provide a complete description of jet mass spectra in hadronic collisions including realistic jet algorithms and jet vetoes
It allows to systematically treat jet radius effects in the jet mass spectrum, including the resummation of jet radius logarithms, the jet boundary effects that cut off the spectrum at mJ pJT R, and the inclusion of O(R2)-suppressed power corrections
Summary
The field of jet substructure has continued to expand over the past few years, providing valuable tools to study processes in the challenging environment at the LHC [1,2,3]. Double logarithms of the jet radius R, in conjunction with logarithms of the jet mass and jet veto, and our results enable their resummation at any perturbative order This allows in particular for NNLL resummation using known anomalous dimensions and the relations provided here. [22], which discussed the systematic resummation of jet radius logarithms for e+e− → 2 cone jets with an energy veto on the radiation outside the jets For a jet consisting of two particles this reduces to mJ < pJT R/2 for clustering algorithms like anti-kT All of these require distinct factorization formulae to resum the corresponding large logarithms. Consistency of RG running is exploited in appendix A to determine the anomalous dimensions which allow for the NNLL resummation of jet mass, jet radius, and jet veto logarithms
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