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To predict the jet mass spectrum at a hadron collider it is crucial toaccount for the resummation of logarithms between the transverse momentum ofthe jet and its invariant mass $m_J$. For small jet areas there are additionallarge logarithms of the jet radius $R$, which affect the convergence of theperturbative series. We present an analytic framework for exclusive jetproduction at the LHC which gives a complete description of the jet massspectrum including realistic jet algorithms and jet vetoes. It factorizes thescales associated with $m_J$, $R$, and the jet veto, enabling in addition thesystematic resummation of jet radius logarithms in the jet mass spectrum beyondleading logarithmic order. We discuss the factorization formulae for the peakand tail region of the jet mass spectrum and for small and large $R$, and therelations between the different regimes and how to combine them. Regions ofexperimental interest are classified which do not involve large nongloballogarithms. We also present universal results for nonperturbative effects anddiscuss various jet vetoes.

Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC